First subleading power resummation for event shapes

Moult, Ian; Stewart, Iain W.; Vita, Gherardo; Zhu, Hua Xing

doi:10.1007/JHEP08(2018)013

Title: First subleading power resummation for event shapes

Journal Article · Mon Aug 06 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP08(2018)013· OSTI ID:1480821

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

^[2]; Zhu, Hua Xing ^[3]

Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Zhejiang University, Hangzhou (China). Department of Physics

We derive and analytically solve renormalization group (RG) equations of gauge invariant non-local Wilson line operators which resum logarithms for event shape observables τ at subleading power in the τ « 1 expansion. These equations involve a class of universal jet and soft functions arising through operator mixing, which we call θ-jet and θ-soft functions. An illustrative example involving these operators is introduced which captures the generic features of subleading power resummation, allowing us to derive the structure of the RG to all orders in αs, and provide field theory definitions of all ingredients. As a simple application, we use this to obtain an analytic leading logarithmic result for the subleading power resummed thrust spectrum for H → gg in pure glue QCD. This resummation determines the nature of the double logarithmic series at subleading power, which we find is still governed by the cusp anomalous dimension. We check our result by performing an analytic calculation up to O(α$$3\atop{s}$$). Consistency of the subleading power RG relates subleading power anomalous dimensions, constrains the form of the θ-soft and θ-jet functions, and implies an exponentiation of higher order loop corrections in the subleading power collinear limit. Our results provide a path for carrying out systematic resummation at subleading power for collider observables.

View Accepted Manuscript (DOE)

Cite

Export

Save

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)

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

OSTI ID:: 1480821

Alternate ID(s):: OSTI ID: 1635386

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 8; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 55 works

Citation information provided by
Web of Science

References (69)

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
Thrust distribution in e+e− annihilation Catani, S.; Turnock, G.; Webber, B. R. Physics Letters B, Vol. 263, Issue 3-4 https://doi.org/10.1016/0370-2693(91)90494-B	journal	July 1991
Towards the anomalous dimension to $O (Λ_{QCD} / m_{b})$ for phase space restricted $\bar{B} \to X_{u} ℓ \bar{ν}$ and $\bar{B} \to X_{s} γ$ Trott, Michael; Williamson, Alexander R. Physical Review D, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevD.74.034011	journal	August 2006
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
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
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
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
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
An effective field theory for collinear and soft gluons: Heavy to light decays Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 63, Issue 11 https://doi.org/10.1103/PhysRevD.63.114020	journal	May 2001
A precise determination of α _s from LEP thrust data using effective field theory Becher, Thomas; Schwartz, Matthew D. Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/034	journal	July 2008
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
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
Resummation of large logarithms in e+e− event shape distributions Catani, S.; Trentadue, L.; Turnock, G. Nuclear Physics B, Vol. 407, Issue 1 https://doi.org/10.1016/0550-3213(93)90271-P	journal	October 1993
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
Three-Loop Corrections to the Soft Anomalous Dimension in Multileg Scattering Almelid, Øyvind; Duhr, Claude; Gardi, Einan Physical Review Letters, Vol. 117, Issue 17 https://doi.org/10.1103/PhysRevLett.117.172002	journal	October 2016
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
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
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
$N$ 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
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
Jets from massive unstable particles: Top-mass determination Fleming, Sean; Hoang, Andre H.; Mantry, Sonny Physical Review D, Vol. 77, Issue 7 https://doi.org/10.1103/PhysRevD.77.074010	journal	April 2008
Simulation of QCD jets including soft gluon interference Marchesini, G.; Webber, B. R. Nuclear Physics B, Vol. 238, Issue 1 https://doi.org/10.1016/0550-3213(84)90463-2	journal	May 1984
Collinear limits beyond the leading order from the scattering equations Nandan, Dhritiman; Plefka, Jan; Wormsbecher, Wadim Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)038	journal	February 2017
Momentum flow correlations from event shapes: Factorized soft gluons and soft-collinear effective theory Lee, Christopher; Sterman, George Physical Review D, Vol. 75, Issue 1 https://doi.org/10.1103/PhysRevD.75.014022	journal	January 2007
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
Back-to-back jets in QCD Collins, John C.; Soper, Davison E. Nuclear Physics B, Vol. 193, Issue 2 https://doi.org/10.1016/0550-3213(81)90339-4	journal	December 1981
Summing Sudakov logarithms in $\vec{B} X_{s} γ$ in effective field theory Bauer, Christian W.; Fleming, Sean; Luke, Michael Physical Review D, Vol. 63, Issue 1 https://doi.org/10.1103/PhysRevD.63.014006	journal	December 2000
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
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
The singular behaviour of QCD amplitudes at two-loop order Catani, Stefano Physics Letters B, Vol. 427, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00332-3	journal	May 1998
On light-like Wilson loops Korchemskaya, I. A.; Korchemsky, G. P. Physics Letters B, Vol. 287, Issue 1-3 https://doi.org/10.1016/0370-2693(92)91895-G	journal	August 1992
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
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
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
Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes Gardi, Einan; Magnea, Lorenzo Journal of High Energy Physics, Vol. 2009, Issue 03 https://doi.org/10.1088/1126-6708/2009/03/079	journal	March 2009
Summation of large corrections to short-distance hadronic cross sections Sterman, George Nuclear Physics B, Vol. 281, Issue 1-2 https://doi.org/10.1016/0550-3213(87)90258-6	journal	January 1987
Monte Carlo simulation of general hard processes with coherent QCD radiation Marchesini, G.; Webber, B. R. Nuclear Physics B, Vol. 310, Issue 3-4 https://doi.org/10.1016/0550-3213(88)90089-2	journal	December 1988
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
Hard scattering factorization from effective field theory Bauer, Christian W.; Fleming, Sean; Pirjol, Dan Physical Review D, Vol. 66, Issue 1 https://doi.org/10.1103/PhysRevD.66.014017	journal	July 2002
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
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
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
Universal structure of subleading infrared poles in gauge theory amplitudes Dixon, Lance J.; Magnea, Lorenzo; Sterman, George Journal of High Energy Physics, Vol. 2008, Issue 08 https://doi.org/10.1088/1126-6708/2008/08/022	journal	August 2008
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
Soft-collinear factorization in effective field theory Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W. Physical Review D, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevD.65.054022	journal	February 2002
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
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
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
Two-loop QCD corrections to the helicity amplitudes for H → 3 partons Gehrmann, T.; Jaquier, M.; Glover, E. W. N. Springer https://doi.org/10.5167/uzh-69912	text	January 2012
A precise determination of alpha_s from LEP thrust data using effective field theory Becher, Thomas; Schwartz, Matthew D. arXiv https://doi.org/10.48550/arxiv.0803.0342	text	January 2008
Universal structure of subleading infrared poles in gauge theory amplitudes Dixon, Lance J.; Magnea, Lorenzo; Sterman, George arXiv https://doi.org/10.48550/arxiv.0805.3515	text	January 2008
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
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
Resummation of heavy jet mass and comparison to LEP data Chien, Yang-Ting; Schwartz, Matthew D. arXiv https://doi.org/10.48550/arxiv.1005.1644	text	January 2010
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
Two-Loop QCD Corrections to the Helicity Amplitudes for $H \to$ 3 partons Gehrmann, T.; Jaquier, M.; Glover, E. W. N. arXiv https://doi.org/10.48550/arxiv.1112.3554	text	January 2011
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
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
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
Three-loop corrections to the soft anomalous dimension in multi-leg scattering Almelid, Øyvind; Duhr, Claude; Gardi, Einan arXiv https://doi.org/10.48550/arxiv.1507.00047	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
Collinear limits beyond the leading order from the scattering equations Nandan, Dhritiman; Plefka, Jan; Wormsbecher, Wadim arXiv https://doi.org/10.48550/arxiv.1608.04730	text	January 2016
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
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 arXiv https://doi.org/10.48550/arxiv.1703.03411	text	January 2017
Higher-twist corrections to gluon TMD factorization Balitsky, I.; Tarasov, A. arXiv https://doi.org/10.48550/arxiv.1706.01415	text	January 2017
Power corrections to TMD factorization for Z-boson production Balitsky, I.; Tarasov, A. arXiv https://doi.org/10.48550/arxiv.1712.09389	text	January 2017

Cited By (17)

Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power Beneke, Martin; Garny, Mathias; Jaskiewicz, Sebastian Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/jhep01(2020)094	journal	January 2020
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
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
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
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
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
Subleading power factorization with radiative functions Moult, Ian; Stewart, Iain W.; Vita, Gherardo Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/jhep11(2019)153	journal	November 2019
Power corrections for N-jettiness subtractions at O α s $$ \mathcal{O}\left({\alpha}_s\right) $$ Ebert, Markus A.; Moult, Ian; Stewart, Iain W. Journal of High Energy Physics, Vol. 2018, Issue 12 https://doi.org/10.1007/jhep12(2018)084	journal	December 2018
Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO Cieri, Leandro; Oleari, Carlo; Rocco, Marco The European Physical Journal C, Vol. 79, Issue 10 https://doi.org/10.1140/epjc/s10052-019-7361-8	journal	October 2019
Impact of isolation and fiducial cuts on qT and N-jettiness subtractions Ebert, Markus A.; Tackmann, Frank J. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-01355	text	January 2020
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
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
Impact of Isolation and Fiducial Cuts on $q_T$ and N-Jettiness Subtractions Ebert, Markus A.; Tackmann, Frank J. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-00411	text	January 2019
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
Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power Bahjat-Abbas, N.; Bonocore, D.; Damsté, J. Sinninghe arXiv https://doi.org/10.48550/arxiv.1905.13710	text	January 2019
Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO Cieri, Leandro; Oleari, Carlo; Rocco, Marco arXiv https://doi.org/10.48550/arxiv.1906.09044	text	January 2019
Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power Beneke, Martin; Garny, Mathias; Jaskiewicz, Sebastian arXiv https://doi.org/10.48550/arxiv.1910.12685	text	January 2019

Similar Records

Subleading power resummation of rapidity logarithms: the energy-energy correlator in $ \mathcal{N}$ = 4 SYM

Journal Article · Wed Jul 01 00:00:00 EDT 2020 · Journal of High Energy Physics (Online) · OSTI ID:1480821

Moult, Ian; Vita, Gherardo; Yan, Kai

Factorization at subleading power, Sudakov resummation, and endpoint divergences in soft-collinear effective theory

Journal Article · Tue Jul 06 00:00:00 EDT 2021 · Physical Review D · OSTI ID:1480821

Liu, Ze Long; Mecaj, Bianka; Neubert, Matthias; +1 more

N

-jettiness subtractions for

g g \to H

at subleading power

Journal Article · Wed Jan 24 00:00:00 EST 2018 · Physical Review D · OSTI ID:1480821

Moult, Ian; Rothen, Lorena; Stewart, Iain W.; +2 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
effective field theories
perturbative QCD
renormalization group
resummation

Title: First subleading power resummation for event shapes

Citation Formats

References (69)

Cited By (17)

Similar Records

Related Subjects