Subleading power factorization with radiative functions

Moult, Ian; Stewart, Iain W.; Vita, Gherardo

doi:10.1007/jhep11(2019)153

Title: Subleading power factorization with radiative functions

Journal Article · 26 November 2019 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep11(2019)153 · OSTI ID:1658921

Moult, Ian ^[1]; Stewart, Iain W. ^[2];

^[2]

Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

The study of amplitudes and cross sections in the soft and collinear limits allows for an understanding of their all orders behavior, and the identification of universal structures. At leading power soft emissions are eikonal, and described by Wilson lines. Beyond leading power the eikonal approximation breaks down, soft fermions must be added, and soft radiation resolves the nature of the energetic partons from which they were emitted. For both subleading power soft gluon and quark emissions, we use the soft collinear effective theory (SCET) to derive an all orders gauge invariant bare factorization, at both amplitude and cross section level. This yields universal multilocal matrix elements, which we refer to as radiative functions. These appear from subleading power Lagrangians inserted along the lightcone which dress the leading power Wilson lines. Here, the use of SCET enables us to determine the complete set of radiative functions that appear to O(λ²) in the power expansion, to all orders in α_s. For the particular case of event shape observables in e⁺e^– → dijets we derive how the radiative functions contribute to the factorized cross section to O(λ²).

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Nuclear Physics (NP); Simons Foundation

Grant/Contract Number:: AC02-05CH11231; SC0011090; 327942

OSTI ID:: 1658921

Alternate ID(s):: OSTI ID: 1635602

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 11; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (171)

Residual Local Supersymmetry and the Soft Gravitino Avery, Steven G.; Schwab, Burkhard U. W. Physical Review Letters, Vol. 116, Issue 17 https://doi.org/10.1103/PhysRevLett.116.171601	journal	April 2016
Loop Corrections to Soft Theorems in Gauge Theories and Gravity He, Song; Huang, Yu-tin; Wen, Congkao arXiv https://doi.org/10.48550/arxiv.1405.1410	text	January 2014
On threshold resummation beyond leading 1-x order Grunberg, G.; Ravindran, V. arXiv https://doi.org/10.48550/arxiv.0902.2702	text	January 2009
Enhanced subleading structure functions in semileptonic B decay Leibovich, Adam K.; Ligeti, Zoltan; Wise, Mark B. Physics Letters B, Vol. 539, Issue 3-4 https://doi.org/10.1016/S0370-2693(02)02097-X	journal	July 2002
Heptagons from the Steinmann cluster bootstrap Dixon, Lance J.; Drummond, James; Harrington, Thomas Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)137	journal	February 2017
Higgs boson gluon–fusion production at threshold in N 3 LO QCD Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko Physics Letters B, Vol. 737 https://doi.org/10.1016/j.physletb.2014.08.067	journal	October 2014
Higgs boson production in association with a jet using jettiness subtraction Boughezal, Radja; Focke, Christfried; Giele, Walter Physics Letters B, Vol. 748 https://doi.org/10.1016/j.physletb.2015.06.055	journal	September 2015
Power corrections to event shapes and factorization Korchemsky, Gregory P.; Sterman, George Nuclear Physics B, Vol. 555, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00308-9	journal	August 1999
Invariant Operators in Collinear Effective Theory Bauer, Christian W.; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.hep-ph/0107001	text	January 2001
Factorization of heavy-to-light form factors in soft-collinear effective theory Beneke, M.; Feldmann, Th. Nuclear Physics B, Vol. 685, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2004.02.033	journal	May 2004
Evanescent operators, scheme dependences and double insertions Herrlich, Stefan; Nierste, Ulrich Nuclear Physics B, Vol. 455, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00474-7	journal	November 1995
Soft Theorems from Effective Field Theory Larkoski, Andrew J.; Neill, Duff; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.1412.3108	preprint	January 2014
On BMS invariance of gravitational scattering Strominger, Andrew Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)152	journal	July 2014
Non-global logarithms, factorization, and the soft substructure of jets Larkoski, Andrew J.; Moult, Ian; Neill, Duff Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)143	journal	September 2015
A factorization approach to next-to-leading-power threshold logarithms Bonocore, D.; Laenen, E.; Magnea, L. arXiv https://doi.org/10.48550/arxiv.1503.05156	preprint	January 2015
Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry Beneke, M.; Feldmann, Th. Physics Letters B, Vol. 553, Issue 3-4 https://doi.org/10.1016/S0370-2693(02)03204-5	journal	February 2003
On the vanishing of evanescent operators Dugan, Michael J.; Grinstein, Benjamín Physics Letters B, Vol. 256, Issue 2 https://doi.org/10.1016/0370-2693(91)90680-O	journal	March 1991
The nonlocal operator expansion for inclusive particle production in e+e− annihilation Balitsky, Ianko I.; Braun, Vladimir M. Nuclear Physics B, Vol. 361, Issue 1 https://doi.org/10.1016/0550-3213(91)90618-8	journal	August 1991
Path integral approach to eikonal and next-to-eikonal exponentiation Laenen, Eric; Stavenga, Gerben; White, Chris D. Journal of High Energy Physics, Vol. 2009, Issue 03 https://doi.org/10.1088/1126-6708/2009/03/054	journal	March 2009
Q 2 Evolution of Chiral-Odd Twist-3 Distributions h L ( x , Q 2 ) and e ( x , Q 2 ) in Large- N c QCD Balitsky, I. I.; Braun, V. M.; Koike, Y. Physical Review Letters, Vol. 77, Issue 15 https://doi.org/10.1103/PhysRevLett.77.3078	journal	October 1996
A complete calculation of the order αs2 correction to the Drell-Yan K-factor Hamberg, R.; van Neerven, W. L.; Matsuura, T. Nuclear Physics B, Vol. 359, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90064-5	journal	August 1991
4D scattering amplitudes and asymptotic symmetries from 2D CFT Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)112	journal	January 2017
$W$-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD Boughezal, Radja; Focke, Christfried; Liu, Xiaohui arXiv https://doi.org/10.48550/arxiv.1504.02131	text	January 2015
Building Blocks for Subleading Helicity Operators Kolodrubetz, Daniel W.; Moult, Ian; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.1601.02607	text	January 2016
Helicity methods for high multiplicity subleading soft and collinear limits Bhattacharya, Arindam; Moult, Ian; Stewart, Iain W. Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)192	journal	May 2019
QCD nonleading corrections to weak decays in dimensional regularization and 't Hooft-Veltman schemes Buras, Andrzej J.; Weisz, Peter H. Nuclear Physics B, Vol. 333, Issue 1 https://doi.org/10.1016/0550-3213(90)90223-Z	journal	March 1990
Sudakov Resummation for Subleading SCET Currents and Heavy-to-Light Form Factors Hill, Richard J.; Becher, Thomas; Lee, Seung J. Journal of High Energy Physics, Vol. 2004, Issue 07 https://doi.org/10.1088/1126-6708/2004/07/081	journal	July 2004
Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power Beneke, Martin; Broggio, Alessandro; Garny, Mathias Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)043	journal	March 2019
Higher-twist corrections to gluon TMD factorization Balitsky, I.; Tarasov, A. Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)095	journal	July 2017
An Effective Field Theory for Forward Scattering and Factorization Violation Rothstein, Ira Z.; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.1601.04695	text	January 2016
New Fermionic Soft Theorems for Supergravity Amplitudes Chen, Wei-Ming; Huang, Yu-tin; Wen, Congkao Physical Review Letters, Vol. 115, Issue 2 https://doi.org/10.1103/PhysRevLett.115.021603	journal	July 2015
Renormalization of dijet operators at order 1/Q2 in soft-collinear effective theory Goerke, Raymond; Inglis-Whalen, Matthew Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)023	journal	May 2018
Jets and quantum field theory Sveshnikov, N. A.; Tkachov, F. V. Physics Letters B, Vol. 382, Issue 4 https://doi.org/10.1016/0370-2693(96)00558-8	journal	August 1996
Introduction Becher, Thomas; Broggio, Alessandro; Ferroglia, Andrea Introduction to Soft-Collinear Effective Theory https://doi.org/10.1007/978-3-319-14848-9_1	book	January 2015
N Jettiness: An Inclusive Event Shape to Veto Jets Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J. Physical Review Letters, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevLett.105.092002	journal	August 2010
Higgs boson gluon-fusion production beyond threshold in N3LO QCD Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko Springer https://doi.org/10.5167/uzh-121647	text	January 2015
The four-loop six-gluon NMHV ratio function Dixon, Lance J.; von Hippel, Matt; McLeod, Andrew J. Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)053	journal	January 2016
Revisiting parton evolution and the large-x limit Dokshitzer, Yu. L.; Marchesini, G.; Salam, G. P. Physics Letters B, Vol. 634, Issue 5-6 https://doi.org/10.1016/j.physletb.2006.02.023	journal	March 2006
Analytic boosted boson discrimination Larkoski, Andrew J.; Moult, Ian; Neill, Duff Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)117	journal	May 2016
Asymptotic solutions of the evolution equation for the polarized nucleon structure function g2(x, Q2) Ali, Ahmed; Braun, Vladimir M.; Hiller, G. Universität Regensburg https://doi.org/10.5283/epub.14002	text	January 1991
QCD corrections to the nucleon's spin structure function g2(x, Q2) Kodaira, Jiro; Yasui, Yoshiaki; Tanaka, Kazuhiro Physics Letters B, Vol. 387, Issue 4 https://doi.org/10.1016/0370-2693(96)01087-8	journal	October 1996
Non-Lagrangian Models of Current Algebra Wilson, Kenneth G. Physical Review, Vol. 179, Issue 5 https://doi.org/10.1103/PhysRev.179.1499	journal	March 1969
Differential Higgs production at N3LO beyond threshold Dulat, Falko; Mistlberger, Bernhard; Pelloni, Andrea Journal of High Energy Physics, Vol. 2018, Issue 1 https://doi.org/10.1007/JHEP01(2018)145	journal	January 2018
Subleading shape functions and the determination of \|Vub\| Neubert, Matthias Physics Letters B, Vol. 543, Issue 3-4 https://doi.org/10.1016/S0370-2693(02)02462-0	journal	September 2002
High-energy limit of mass-suppressed amplitudes in gauge theories Liu, Tao; Penin, Alexander Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)158	journal	November 2018
Higher-twist corrections to gluon TMD factorization Balitsky, I.; Tarasov, A. arXiv https://doi.org/10.48550/arxiv.1706.01415	text	January 2017
Invariant operators in collinear effective theory Bauer, Christian W.; Stewart, Iain W. Physics Letters B, Vol. 516, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00902-9	journal	September 2001
Renormalization of twist-three operators and integrable lattice models Belitsky, A. V. arXiv https://doi.org/10.48550/arxiv.hep-ph/9907420	text	January 1999
N-jettiness Subtractions for NNLO QCD Calculations Gaunt, Jonathan; Stahlhofen, Maximilian; Tackmann, Frank J. arXiv https://doi.org/10.48550/arxiv.1505.04794	preprint	January 2015
Soft gluons and factorization Collins, John C.; Soper, Davison E.; Sterman, George Nuclear Physics B, Vol. 308, Issue 4 https://doi.org/10.1016/0550-3213(88)90130-7	journal	October 1988
Heptagons from the Steinmann Cluster Bootstrap Dixon, Lance J.; Drummond, James; Harrington, Thomas arXiv https://doi.org/10.48550/arxiv.1612.08976	text	January 2016
Heavy-to-light B meson form factors at large recoil energy—spectator-scattering corrections Beneke, M.; Yang, D. Nuclear Physics B, Vol. 736, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.11.027	journal	February 2006
Scale dependence of twist-three contributions to single spin asymmetries Braun, V. M.; Manashov, A. N.; Pirnay, B. Physical Review D, Vol. 80, Issue 11 https://doi.org/10.1103/PhysRevD.80.114002	journal	December 2009
New angles on energy correlation functions Moult, Ian; Necib, Lina; Thaler, Jesse Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)153	journal	December 2016
Factorization for short distance hadron-hadron scattering Collins, John C.; Soper, Davison E.; Sterman, George Nuclear Physics B, Vol. 261 https://doi.org/10.1016/0550-3213(85)90565-6	journal	January 1985
Power Corrections in the N-jettiness Subtraction Scheme Boughezal, Radja; Liu, Xiaohui; Petriello, Frank arXiv https://doi.org/10.48550/arxiv.1612.02911	text	January 2016
A complete basis of helicity operators for subleading factorization Feige, Ilya; Kolodrubetz, Daniel W.; Moult, Ian Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)142	journal	November 2017
Residual Local Supersymmetry and the Soft Gravitino Avery, Steven G.; Schwab, Burkhard U. W. arXiv https://doi.org/10.48550/arxiv.1512.02657	text	January 2015
High-energy bremsstrahlung theorems for soft photons Del Duca, Vittorio Nuclear Physics B, Vol. 345, Issue 2-3 https://doi.org/10.1016/0550-3213(90)90392-Q	journal	December 1990
Subleading Power Rapidity Divergences and Power Corrections for $q_T$ Ebert, Markus A.; Moult, Ian; Stewart, Iain W. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02279	text	January 2019
What is the Simplest Quantum Field Theory? Arkani-Hamed, Nima; Cachazo, Freddy; Kaplan, Jared arXiv https://doi.org/10.48550/arxiv.0808.1446	text	January 2008
Multi-soft gluon limits and extended current algebras at null-infinity McLoughlin, Tristan; Nandan, Dhritiman Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)124	journal	August 2017
Higgs boson gluon-fusion production beyond threshold in N3LO QCD Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)091	journal	March 2015
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations Caron-Huot, Simon; Dixon, Lance J.; McLeod, Andrew arXiv https://doi.org/10.48550/arxiv.1609.00669	text	January 2016
Soft-collinear effective theory and heavy-to-light currents beyond leading power Beneke, M.; Chapovsky, A. P.; Diehl, M. arXiv https://doi.org/10.48550/arxiv.hep-ph/0206152	text	January 2002
Subleading Shape Functions and the Determination of \|V_{ub}\| Neubert, Matthias arXiv https://doi.org/10.48550/arxiv.hep-ph/0207002	text	January 2002
Soft expansion of double-real-virtual corrections to Higgs production at N3LO Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko ETH Zurich https://doi.org/10.3929/ethz-b-000103682	text	January 2015
Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions Del Duca, Vittorio; Laenen, Eric; Magnea, Lorenzo ETH Zurich https://doi.org/10.3929/ethz-b-000217094	text	January 2017
Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach Laenen, Eric; Magnea, Lorenzo; Stavenga, Gerben arXiv https://doi.org/10.48550/arxiv.1010.1860	text	January 2010
Double-Soft Limits of Gluons and Gravitons Klose, Thomas; McLoughlin, Tristan; Nandan, Dhritiman arXiv https://doi.org/10.48550/arxiv.1504.05558	preprint	January 2015
Subleading Shape Functions in Inclusive B Decays Bosch, Stefan W.; Neubert, Matthias; Paz, Gil Journal of High Energy Physics, Vol. 2004, Issue 11 https://doi.org/10.1088/1126-6708/2004/11/073	journal	November 2004
Infrared factorization in inclusive B meson decays Korchemsky, Gregory P.; Sterman, George Physics Letters B, Vol. 340, Issue 1-2 https://doi.org/10.1016/0370-2693(94)91304-8	journal	December 1994
N-jettiness subtractions for NNLO QCD calculations Gaunt, Jonathan R.; Stahlhofen, Maximilian; Tackmann, Frank J. Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)058	journal	September 2015
Soft theorems from effective field theory Larkoski, Andrew J.; Neill, Duff; Stewart, Iain W. Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)077	journal	June 2015
On threshold resummation beyond leading 1 − x order Grunberg, G.; Ravindran, V. Journal of High Energy Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1126-6708/2009/10/055	journal	October 2009
Higgs Boson Gluon-Fusion Production in QCD at Three Loops Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.212001	journal	May 2015
Complete basis for power suppressed collinear-ultrasoft operators Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 67, Issue 9 https://doi.org/10.1103/PhysRevD.67.094005	journal	May 2003
Renormalization of the Wilson loops beyond the leading order Korchemsky, G. P.; Radyushkin, A. V. Nuclear Physics B, Vol. 283 https://doi.org/10.1016/0550-3213(87)90277-X	journal	January 1987
Scale dependence of the chiral-odd twist-3 distributions hL(x) and e(x) Belitsky, A. V.; Miller, D. Nuclear Physics B, Vol. 503, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00432-X	journal	October 1997
Integrability and WKB solution of twist-three evolution equations Belitsky, A. V. arXiv https://doi.org/10.48550/arxiv.hep-ph/9903512	text	January 1999
Multi-soft theorems in gauge theory from MHV diagrams Georgiou, George Journal of High Energy Physics, Vol. 2015, Issue 8 https://doi.org/10.1007/JHEP08(2015)128	journal	August 2015
Subleading Regge limit from a soft anomalous dimension Brüser, Robin; Caron-Huot, Simon; Henn, Johannes M. Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)047	journal	April 2018
Analytical Computation of Energy-Energy Correlation at Next-to-Leading Order in QCD Dixon, Lance J.; Luo, Ming-xing; Shtabovenko, Vladyslav Physical Review Letters, Vol. 120, Issue 10 https://doi.org/10.1103/PhysRevLett.120.102001	journal	March 2018
Bootstrapping the three-loop hexagon Dixon, Lance J.; Drummond, James M.; Henn, Johannes M. arXiv https://doi.org/10.48550/arxiv.1108.4461	text	January 2011
Multi-soft theorems in Gauge Theory from MHV Diagrams Georgiou, George arXiv https://doi.org/10.48550/arxiv.1505.08130	text	January 2015
On the Motion of Heavy Quarks inside Hadrons: Universal Distributions and Inclusive Decays Bigi, I. I.; Shifman, M. A.; Uraltsev, N. G. arXiv https://doi.org/10.48550/arxiv.hep-ph/9312359	text	January 1993
W -Boson Production in Association with a Jet at Next-to-Next-to-Leading Order in Perturbative QCD Boughezal, Radja; Focke, Christfried; Liu, Xiaohui Physical Review Letters, Vol. 115, Issue 6 https://doi.org/10.1103/PhysRevLett.115.062002	journal	August 2015
The method of regions and next-to-soft corrections in Drell-Yan production Bonocore, Domenico; Laenen, Eric; Magnea, Lorenzo arXiv https://doi.org/10.48550/arxiv.1410.6406	text	January 2014
Bootstrapping an NMHV amplitude through three loops Dixon, Lance J.; von Hippel, Matt Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)065	journal	October 2014
Loop-corrected Virasoro symmetry of 4D quantum gravity He, T.; Kapec, D.; Raclariu, A. Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)050	journal	August 2017
Transverse spin and higher twist in QCD Ratcliffe, P. G. Nuclear Physics B, Vol. 264 https://doi.org/10.1016/0550-3213(86)90495-5	journal	January 1986
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations Caron-Huot, Simon; Dixon, Lance J.; McLeod, Andrew Physical Review Letters, Vol. 117, Issue 24 https://doi.org/10.1103/PhysRevLett.117.241601	journal	December 2016
Subleading power rapidity divergences and power corrections for qT Ebert, Markus A.; Moult, Ian; Stewart, Iain W. Journal of High Energy Physics, Vol. 2019, Issue 4 https://doi.org/10.1007/JHEP04(2019)123	journal	April 2019
Fermionic Glauber operators and quark reggeization Moult, Ian; Solon, Mikhail P.; Stewart, Iain W. Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)134	journal	February 2018
Non-abelian factorisation for next-to-leading-power threshold logarithms Bonocore, Domenico; Laenen, E.; Magnea, L. RWTH Aachen University https://doi.org/10.18154/rwth-2017-04837	text	January 2016
A Complete Basis of Helicity Operators for Subleading Factorization Feige, Ilya; Kolodrubetz, Daniel W.; Moult, Ian arXiv https://doi.org/10.48550/arxiv.1703.03411	text	January 2017
Power counting to better jet observables Larkoski, Andrew J.; Moult, Ian; Neill, Duff Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)009	journal	December 2014
Jets and Quantum Field Theory Sveshnikov, N. A.; Tkachov, F. V. arXiv https://doi.org/10.48550/arxiv.hep-ph/9512370	text	January 1995
On the Motion of Heavy Quarks Inside Hadrons: Universal Distributions and Inclusive Decays Bigi, I. I.; Shifman, M. A.; Uraltsev, N. G. International Journal of Modern Physics A, Vol. 09, Issue 14 https://doi.org/10.1142/S0217751X94000996	journal	June 1994
Subleading jet functions in inclusive B decays Paz, Gil Journal of High Energy Physics, Vol. 2009, Issue 06 https://doi.org/10.1088/1126-6708/2009/06/083	journal	June 2009
Next-to-eikonal corrections to soft gluon radiation: a diagrammatic approach Laenen, Eric; Magnea, Lorenzo; Stavenga, Gerben Journal of High Energy Physics, Vol. 2011, Issue 1 https://doi.org/10.1007/JHEP01(2011)141	journal	January 2011
Power corrections and nonlocal operators Korchemsky, Gregory P.; Oderda, Gianluca; Sterman, George The 5th international workshop on deep inelastic scattering and QCD, AIP Conference Proceedings https://doi.org/10.1063/1.53732	conference	January 1997
Subleading Shape Functions in Inclusive B Decays Bosch, Stefan W.; Neubert, Matthias; Paz, Gil arXiv https://doi.org/10.48550/arxiv.hep-ph/0409115	text	January 2004
Extension of the Low Soft-Photon Theorem Burnett, T. H.; Kroll, Norman M. Physical Review Letters, Vol. 20, Issue 2 https://doi.org/10.1103/PhysRevLett.20.86	journal	January 1968
Quantum Chromodynamics Test for Jets Farhi, Edward Physical Review Letters, Vol. 39, Issue 25 https://doi.org/10.1103/PhysRevLett.39.1587	journal	December 1977
Soft sub-leading divergences in Yang-Mills amplitudes Casali, Eduardo Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)077	journal	August 2014
On next-to-eikonal corrections to threshold resummation for the Drell–Yan and DIS cross sections Laenen, Eric; Magnea, Lorenzo; Stavenga, Gerben Physics Letters B, Vol. 669, Issue 2 https://doi.org/10.1016/j.physletb.2008.09.037	journal	November 2008
Energy flow in QCD and event shape functions Belitsky, A. V.; Korchemsky, G. P.; Sterman, G. Physics Letters B, Vol. 515, Issue 3-4 https://doi.org/10.1016/S0370-2693(01)00899-1	journal	August 2001
Non-abelian factorisation for next-to-leading-power threshold logarithms Bonocore, Domenico; Laenen, E.; Magnea, L. RWTH Aachen University https://doi.org/10.18154/rwth-2017-00379	text	January 2016
A factorization approach to next-to-leading-power threshold logarithms Bonocore, D.; Laenen, E.; Magnea, L. Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)008	journal	June 2015
On BMS Invariance of Gravitational Scattering Strominger, Andrew arXiv https://doi.org/10.48550/arxiv.1312.2229	text	January 2013
An effective field theory for forward scattering and factorization violation Rothstein, Ira Z.; Stewart, Iain W. Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)025	journal	August 2016
Evolution equations for QCD string operators Balitsky, I. I.; Braun, V. M. Nuclear Physics B, Vol. 311, Issue 3 https://doi.org/10.1016/0550-3213(89)90168-5	journal	January 1989
Bootstrapping the three-loop hexagon Dixon, Lance J.; Drummond, James M.; Henn, Johannes M. Journal of High Energy Physics, Vol. 2011, Issue 11 https://doi.org/10.1007/JHEP11(2011)023	journal	November 2011
First subleading power resummation for event shapes Moult, Ian; Stewart, Iain W.; Vita, Gherardo Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/JHEP08(2018)013	journal	August 2018
Non-abelian factorisation for next-to-leading-power threshold logarithms Bonocore, D.; Laenen, E.; Magnea, L. Journal of High Energy Physics, Vol. 2016, Issue 12 https://doi.org/10.1007/JHEP12(2016)121	journal	December 2016
Evanescent Operators, Scheme Dependences and Double Insertions Herrlich, Stefan; Nierste, Ulrich arXiv https://doi.org/10.48550/arxiv.hep-ph/9412375	text	January 1994
What is the simplest quantum field theory? Arkani-Hamed, Nima; Cachazo, Freddy; Kaplan, Jared Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)016	journal	September 2010
Power corrections to bar B→ X _u ellbar nu ( X _s γ) decay spectra in the ``shape-function'' region Beneke, Martin; Campanario, Francisco; Mannel, Thomas Journal of High Energy Physics, Vol. 2005, Issue 06 https://doi.org/10.1088/1126-6708/2005/06/071	journal	June 2005
QCD Corrections to the nucleon's spin structure function $G_2(x,Q^2)$ Kodaira, Jiro; Yasui, Yoshiaki; Tanaka, Kazuhiro arXiv https://doi.org/10.48550/arxiv.hep-ph/9603377	text	January 1996
Diagrammatic insights into next-to-soft corrections White, C. D. Physics Letters B, Vol. 737 https://doi.org/10.1016/j.physletb.2014.08.041	journal	October 2014
On next-to-leading power threshold corrections in Drell-Yan production at N3LO Bahjat-Abbas, N.; Sinninghe Damsté, J.; Vernazza, L. Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/JHEP10(2018)144	journal	October 2018
Factorization and Resummation for Groomed Multi-Prong Jet Shapes Larkoski, Andrew J.; Moult, Ian; Neill, Duff arXiv https://doi.org/10.48550/arxiv.1710.00014	text	January 2017
Infrared factorization, Wilson lines and the heavy quark limit Korchemsky, G. P.; Radyushkin, A. V. Physics Letters B, Vol. 279, Issue 3-4 https://doi.org/10.1016/0370-2693(92)90405-S	journal	April 1992
Double-soft limits of gluons and gravitons Klose, Thomas; McLoughlin, Tristan; Nandan, Dhritiman Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)135	journal	July 2015
Anomalous dimension of subleading-power N-jet operators. Part II Beneke, Martin; Garny, Mathias; Szafron, Robert Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)112	journal	November 2018
4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT Cheung, Clifford; de la Fuente, Anton; Sundrum, Raman arXiv https://doi.org/10.48550/arxiv.1609.00732	text	January 2016
Reparameterization invariance for collinear operators Manohar, Aneesh V.; Mehen, Thomas; Pirjol, Dan Physics Letters B, Vol. 539, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)02029-4	journal	July 2002
High-energy limit of mass-suppressed amplitudes in gauge theories Tao, Liu,; Alexander, Penin, ETH Zurich https://doi.org/10.3929/ethz-b-000309491	text	January 2018
High-Energy Limit of QCD beyond the Sudakov Approximation Liu, Tao; Penin, Alexander A. Physical Review Letters, Vol. 119, Issue 26 https://doi.org/10.1103/PhysRevLett.119.262001	journal	December 2017
A subleading operator basis and matching for gg → H Moult, Ian; Stewart, Iain W.; Vita, Gherardo Journal of High Energy Physics, Vol. 2017, Issue 7 https://doi.org/10.1007/JHEP07(2017)067	journal	July 2017
Factorization Of Hard Processes In QCD Mueller, A. H.; Collins, John C.; Soper, Davison E. Perturbative QCD https://doi.org/10.1142/9789814503266_0001	book	July 1989
Anomalous dimension of subleading-power N-jet operators Beneke, Martin; Garny, Mathias; Szafron, Robert Journal of High Energy Physics, Vol. 2018, Issue 3 https://doi.org/10.1007/JHEP03(2018)001	journal	March 2018
On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections Laenen, Eric; Magnea, Lorenzo; Stavenga, Gerben arXiv https://doi.org/10.48550/arxiv.0807.4412	text	January 2008
Violation of the Kluberg-Stern-Zuber theorem in SCET Beneke, Martin; Garny, Mathias; Szafron, Robert Journal of High Energy Physics, Vol. 2019, Issue 9 https://doi.org/10.1007/JHEP09(2019)101	journal	September 2019
Resummation of double-differential cross sections and fully-unintegrated parton distribution functions Procura, Massimiliano; Waalewijn, Wouter J.; Zeune, Lisa Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)117	journal	February 2015
Soft-collinear effective theory and heavy-to-light currents beyond leading power Beneke, M.; Chapovsky, A. P.; Diehl, M. Nuclear Physics B, Vol. 643, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00687-9	journal	November 2002
Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering Almasy, A. A.; Soar, G.; Vogt, A. arXiv https://doi.org/10.48550/arxiv.1012.3352	text	January 2010
Soft expansion of double-real-virtual corrections to Higgs production at N3LO Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko Journal of High Energy Physics, Vol. 2015, Issue 8 https://doi.org/10.1007/JHEP08(2015)051	journal	August 2015
The method of regions and next-to-soft corrections in Drell–Yan production Bonocore, D.; Laenen, E.; Magnea, L. Physics Letters B, Vol. 742 https://doi.org/10.1016/j.physletb.2015.02.008	journal	March 2015
Approximate N3LO Higgs-boson production cross section using physical-kernel constraints de Florian, D.; Mazzitelli, J.; Moch, S. Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)176	journal	October 2014
Heptagons from the Steinmann Cluster Bootstrap Dixon, Lance J.; Drummond, James; Harrington, Thomas Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-00889	text	January 2017
Path integral approach to eikonal and next-to-eikonal exponentiation Laenen, E.; Stavenga, G.; White, C. D. arXiv https://doi.org/10.48550/arxiv.0811.2067	text	January 2008
Enhanced subleading structure functions in semileptonic B decay Leibovich, Adam K.; Ligeti, Zoltan; Wise, Mark B. arXiv https://doi.org/10.48550/arxiv.hep-ph/0205148	text	January 2002
Factorization and resummation for generic hierarchies between Jets Pietrulewicz, Piotr; Tackmann, Frank J.; Waalewijn, Wouter J. Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)002	journal	August 2016
Factorization for power corrections to and Lee, Keith S. M.; Stewart, Iain W. Nuclear Physics B, Vol. 721, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2005.05.004	journal	August 2005
Factorization and resummation for groomed multi-prong jet shapes Larkoski, Andrew J.; Moult, Ian; Neill, Duff Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)144	journal	February 2018
The calculation of the second order soft and virtual contributions to the Drell-Yan cross section Matsuura, T.; van der Marck, S. C.; van Neerven, W. L. Nuclear Physics B, Vol. 319, Issue 3 https://doi.org/10.1016/0550-3213(89)90620-2	journal	June 1989
Building blocks for subleading helicity operators Kolodrubetz, Daniel W.; Moult, Ian; Stewart, Iain W. Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)139	journal	May 2016
Power corrections in the N -jettiness subtraction scheme Boughezal, Radja; Liu, Xiaohui; Petriello, Frank Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)160	journal	March 2017
Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions Low, F. E. Physical Review, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRev.110.974	journal	May 1958
Subleading Power Rapidity Divergences and Power Corrections for $q_T$ Ebert, Markus A.; Moult, Ian; Stewart, Iain W. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-00610	text	January 2018
Loop corrections to soft theorems in gauge theories and gravity He, Song; Huang, Yu-tin; Wen, Congkao Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)115	journal	December 2014
Revisiting parton evolution and the large-x limit Dokshitzer, Yu. L.; Marchesini, G.; Salam, G. P. arXiv https://doi.org/10.48550/arxiv.hep-ph/0511302	text	January 2005
Power corrections to event shapes and factorization Korchemsky, G. P.; Sterman, G. arXiv https://doi.org/10.48550/arxiv.hep-ph/9902341	text	January 1999
Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions Del Duca, V.; Laenen, E.; Magnea, L. Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)057	journal	November 2017
Higgs boson gluon–fusion production at threshold in N3LO QCD Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko Elsevier https://doi.org/10.5167/uzh-107410	text	January 2014
A subleading power operator basis for the scalar quark current Chang, Cyuan-Han; Stewart, Iain W.; Vita, Gherardo Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)041	journal	April 2018
Subleading light-cone distribution functions in the decays Λb→Xsγ and Λb→Xuℓν̄ℓ Kraetz, Michael; Mannel, Thomas Physics Letters B, Vol. 556, Issue 3-4 https://doi.org/10.1016/s0370-2693(03)00129-1	journal	March 2003
Shifts in Mycobacterial Populations and Emerging Drug-Resistance in West and Central Africa Gehre, Florian; Ejo, Mebrat; Fissette, Kristina PLoS ONE, Vol. 9, Issue 12 https://doi.org/10.1371/journal.pone.0110393	journal	December 2014
Non-abelian factorisation for next-to-leading-power threshold logarithms Bonocore, Domenico; Laenen, E.; Magnea, L. RWTH Aachen University https://doi.org/10.18154/rwth-2017-04837	text	January 2016
Higgs boson gluon-fusion production at threshold in N3LO QCD Anastasiou, Charalampos; Duhr, Claude; Dulat, Falko arXiv https://doi.org/10.48550/arxiv.1403.4616	text	January 2014
Diagrammatic insights into next-to-soft corrections White, C. D. arXiv https://doi.org/10.48550/arxiv.1406.7184	text	January 2014
Resummation of Double-Differential Cross Sections and Fully-Unintegrated Parton Distribution Functions Procura, Massimiliano; Waalewijn, Wouter J.; Zeune, Lisa arXiv https://doi.org/10.48550/arxiv.1410.6483	text	January 2014
Higgs boson production in association with a jet at next-to-next-to-leading order Boughezal, Radja; Caola, Fabrizio; Melnikov, Kirill arXiv https://doi.org/10.48550/arxiv.1504.07922	text	January 2015
N-jettiness Subtractions for NNLO QCD Calculations Gaunt, Jonathan; Stahlhofen, Maximilian; Tackmann, Frank J. arXiv https://doi.org/10.48550/arxiv.1505.04794	preprint	January 2015
Higher-twist corrections to gluon TMD factorization Balitsky, I.; Tarasov, A. arXiv https://doi.org/10.48550/arxiv.1706.01415	text	January 2017
Next-to-leading-logarithmic power corrections for $N$-jettiness subtraction in color-singlet production Boughezal, Radja; Isgrò, Andrea; Petriello, Frank arXiv https://doi.org/10.48550/arxiv.1802.00456	text	January 2018
Soft-collinear effective theory and heavy-to-light currents beyond leading power Beneke, M.; Chapovsky, A. P.; Diehl, M. arXiv https://doi.org/10.48550/arxiv.hep-ph/0206152	text	January 2002
On Power Suppressed Operators and Gauge Invariance in SCET Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.hep-ph/0303156	text	January 2003
Revisiting parton evolution and the large-x limit Dokshitzer, Yu. L.; Marchesini, G.; Salam, G. P. arXiv https://doi.org/10.48550/arxiv.hep-ph/0511302	text	January 2005

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