The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL'

Ebert, Markus A.; Mistlberger, Bernhard; Vita, Gherardo

doi:10.1007/jhep08(2021)022

Title: The Energy-Energy Correlation in the back-to-back limit at N³LO and N³LL'

Journal Article · 04 August 2021 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep08(2021)022 · OSTI ID:1819452

Ebert, Markus A. ^[1]; Mistlberger, Bernhard ^[2];

^[2]

Max Planck Inst. fuer Physik, Munich (Germany); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)

We present the analytic formula for the Energy-Energy Correlation (EEC) in electron-positron annihilation computed in perturbative QCD to next-to-next-to-next-to-leading order (N³LO) in the back-to-back limit. In particular, we consider the EEC arising from the annihilation of an electron-positron pair into a virtual photon as well as a Higgs boson and their subsequent inclusive decay into hadrons. Our computation is based on a factorization theorem of the EEC formulated within Soft-Collinear Effective Theory (SCET) for the back-to-back limit. We obtain the last missing ingredient for our computation — the jet function — from a recent calculation of the transverse-momentum dependent fragmentation function (TMDFF) at N³LO. We combine the newly obtained N³LO jet function with the well known hard and soft function to predict the EEC in the back-to-back limit. The leading transcendental contribution of our analytic formula agrees with previously obtained results in N = 4 supersymmetric Yang-Mills theory. We obtain the N = 2 Mellin moment of the bulk region of the EEC using momentum sum rules. Finally, we obtain the first resummation of the EEC in the back-to-back limit at N³LL' accuracy, resulting in a factor of ~ 4 reduction of uncertainties in the peak region compared to N³LL predictions.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

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

Grant/Contract Number:: AC02-76SF00515; SC0011090

OSTI ID:: 1819452

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (128)

Higher-order Sudakov resummation in coupled gauge theories Billis, Georgios; Tackmann, Frank J.; Talbert, Jim Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/jhep03(2020)182	journal	March 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
The full four-loop cusp anomalous dimension in $$ \mathcal{N} $$ = 4 super Yang-Mills and QCD Henn, Johannes M.; Korchemsky, Gregory P.; Mistlberger, Bernhard Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/jhep04(2020)018	journal	April 2020
Transverse energy-energy correlations: A test of perturbative QCD for the proton-antiproton collider Ali, A.; Pietarinen, E.; Stirling, W. J. Physics Letters B, Vol. 141, Issue 5-6 https://doi.org/10.1016/0370-2693(84)90283-1	journal	July 1984
The three-loop QCD β-function and anomalous dimensions Larin, S. A.; Vermaseren, J. A. M. Physics Letters B, Vol. 303, Issue 3-4 https://doi.org/10.1016/0370-2693(93)91441-o	journal	April 1993
Event shapes in N=4 super-Yang–Mills theory Belitsky, A. V.; Hohenegger, S.; Korchemsky, G. P. Nuclear Physics B, Vol. 884 https://doi.org/10.1016/j.nuclphysb.2014.04.019	journal	July 2014
A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission Somogyi, Gábor; Trócsányi, Zoltán Journal of High Energy Physics, Vol. 2007, Issue 01 https://doi.org/10.1088/1126-6708/2007/01/052	journal	January 2007
Collinear limit of the energy-energy correlator Dixon, Lance J.; Moult, Ian; Zhu, Hua Xing Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/physrevd.100.014009	journal	July 2019
Quark and gluon form factors to three loops Baikov, P. A.; Chetyrkin, K. G.; Smirnov, A. V. arXiv https://doi.org/10.48550/arxiv.0902.3519	text	January 2009
Adler Function, Sum Rules and Crewther Relation of Order O(alpha_s^4): the Singlet Case Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. arXiv https://doi.org/10.48550/arxiv.1206.1288	text	January 2012
From correlation functions to event shapes Belitsky, A. V.; Hohenegger, S.; Korchemsky, G. P. arXiv https://doi.org/10.48550/arxiv.1309.0769	text	January 2013
QCD evolution of (un)polarized gluon TMDPDFs and the Higgs $q_T$-distribution Echevarria, Miguel G.; Kasemets, Tomas; Mulders, Piet J. arXiv https://doi.org/10.48550/arxiv.1502.05354	text	January 2015
A Subleading Operator Basis and Matching for $gg \to H$ Moult, Ian; Stewart, Iain W.; Vita, Gherardo arXiv https://doi.org/10.48550/arxiv.1703.03408	text	January 2017
Matter dependence of the four-loop cusp anomalous dimension Henn, Johannes M.; Peraro, Tiziano; Stahlhofen, Maximilian arXiv https://doi.org/10.48550/arxiv.1901.03693	text	January 2019
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
Second order logarithmic corrections to the Drell-Yan cross-section Matsuura, T.; Neerven, W. L. Zeitschrift für Physik C Particles and Fields, Vol. 38, Issue 4 https://doi.org/10.1007/BF01624369	journal	December 1988
Two-jet cross section ine + e − annihilation Kramer, G.; Lampe, B. Zeitschrift für Physik C Particles and Fields, Vol. 34, Issue 4 https://doi.org/10.1007/BF01679868	journal	December 1987
The principle of maximal transcendentality and the four-loop collinear anomalous dimension Dixon, Lance J. Journal of High Energy Physics, Vol. 2018, Issue 1 https://doi.org/10.1007/JHEP01(2018)075	journal	January 2018
e+e− angularity distributions at NNLL′ accuracy Bell, Guido; Hornig, Andrew; Lee, Christopher Journal of High Energy Physics, Vol. 2019, Issue 1 https://doi.org/10.1007/JHEP01(2019)147	journal	January 2019
Energy correlations in the end-point region Korchemsky, G. P. Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)008	journal	January 2020
Transverse parton distribution and fragmentation functions at NNLO: the gluon case Luo, Ming-Xing; Yang, Tong-Zhi; Zhu, Hua Xing Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)040	journal	January 2020
The light-ray OPE and conformal colliders Koloğlu, Murat; Kravchuk, Petr; Simmons-Duffin, David Journal of High Energy Physics, Vol. 2021, Issue 1 https://doi.org/10.1007/JHEP01(2021)128	journal	January 2021
Resummation of transverse momentum distributions in distribution space Ebert, Markus A.; Tackmann, Frank J. Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)110	journal	February 2017
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
Four-loop quark form factor with quartic fundamental colour factor Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A. Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/JHEP02(2019)172	journal	February 2019
From correlation functions to event shapes in QCD Chicherin, D.; Henn, J. M.; Sokatchev, E. Journal of High Energy Physics, Vol. 2021, Issue 2 https://doi.org/10.1007/JHEP02(2021)053	journal	February 2021
Rapidity renormalized TMD soft and beam functions at two loops Lübbert, Thomas; Oredsson, Joel; Stahlhofen, Maximilian Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)168	journal	March 2016
Four-loop photon quark form factor and cusp anomalous dimension in the large-N c limit of QCD Henn, Johannes; Lee, Roman N.; Smirnov, Alexander V. Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)139	journal	March 2017
Joint two-dimensional resummation in qT and 0-jettiness at NNLL Lustermans, Gillian; Michel, Johannes K. L.; Tackmann, Frank J. Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/JHEP03(2019)124	journal	March 2019
Higher-order Sudakov resummation in coupled gauge theories Billis, Georgios; Tackmann, Frank J.; Talbert, Jim Journal of High Energy Physics, Vol. 2020, Issue 3 https://doi.org/10.1007/JHEP03(2020)182	journal	March 2020
Analytic results for massless three-loop form factors Lee, R. N.; Smirnov, A. V.; Smirnov, V. A. Journal of High Energy Physics, Vol. 2010, Issue 4 https://doi.org/10.1007/JHEP04(2010)020	journal	April 2010
Higgs production with a central jet veto at NNLL+NNLO Berger, Carola F.; Marcantonini, Claudio; Stewart, Iain W. Journal of High Energy Physics, Vol. 2011, Issue 4 https://doi.org/10.1007/JHEP04(2011)092	journal	April 2011
Comparing and counting logs in direct and effective methods of QCD resummation Almeida, Leandro G.; Ellis, Stephen D.; Lee, Christopher Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)174	journal	April 2014
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
The full four-loop cusp anomalous dimension in $$ \mathcal{N} $$ = 4 super Yang-Mills and QCD Henn, Johannes M.; Korchemsky, Gregory P.; Mistlberger, Bernhard Journal of High Energy Physics, Vol. 2020, Issue 4 https://doi.org/10.1007/JHEP04(2020)018	journal	April 2020
A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory Chiu, Jui-Yu; Jain, Ambar; Neill, Duff Journal of High Energy Physics, Vol. 2012, Issue 5 https://doi.org/10.1007/JHEP05(2012)084	journal	May 2012
Higgs-boson production at small transverse momentum Becher, Thomas; Neubert, Matthias; Wilhelm, Daniel Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)110	journal	May 2013
Resummation improved rapidity spectrum for gluon fusion Higgs production Ebert, Markus A.; Michel, Johannes K. L.; Tackmann, Frank J. Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)088	journal	May 2017
Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles Brüser, Robin; Grozin, Andrey; Henn, Johannes M. Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/JHEP05(2019)186	journal	May 2019
Calculation of the quark and gluon form factors to three loops in QCD Gehrmann, T.; Glover, E. W. N.; Huber, T. Journal of High Energy Physics, Vol. 2010, Issue 6 https://doi.org/10.1007/JHEP06(2010)094	journal	June 2010
Analytic next-to-leading order calculation of energy-energy correlation in gluon-initiated Higgs decays Luo, Ming-xing; Shtabovenko, Vladyslav; Yang, Tong-Zhi Journal of High Energy Physics, Vol. 2019, Issue 6 https://doi.org/10.1007/JHEP06(2019)037	journal	June 2019
Unpolarized quark and gluon TMD PDFs and FFs at N3LO Luo, Ming-xing; Yang, Tong-Zhi; Zhu, Hua Xing Journal of High Energy Physics, Vol. 2021, Issue 6 https://doi.org/10.1007/JHEP06(2021)115	journal	June 2021
QCD evolution of (un)polarized gluon TMDPDFs and the Higgs qT -distribution Echevarria, Miguel G.; Kasemets, Tomas; Mulders, Piet J. Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)158	journal	July 2015
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
Subleading power resummation of rapidity logarithms: the energy-energy correlator in $$ \mathcal{N} $$ = 4 SYM Moult, Ian; Vita, Gherardo; Yan, Kai Journal of High Energy Physics, Vol. 2020, Issue 7 https://doi.org/10.1007/JHEP07(2020)005	journal	July 2020
On Higgs decays to hadrons and the R-ratio at N4LO Herzog, F.; Ruijl, B.; Ueda, T. Journal of High Energy Physics, Vol. 2017, Issue 8 https://doi.org/10.1007/JHEP08(2017)113	journal	August 2017
Simplicity from recoil: the three-loop soft function and factorization for the energy-energy correlation Moult, Ian; Zhu, Hua Xing Journal of High Energy Physics, Vol. 2018, Issue 8 https://doi.org/10.1007/JHEP08(2018)160	journal	August 2018
The quark beam function at NNLL Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J. Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)005	journal	September 2010
Towards quasi-transverse momentum dependent PDFs computable on the lattice Ebert, Markus A.; Stewart, Iain W.; Zhao, Yong Journal of High Energy Physics, Vol. 2019, Issue 9 https://doi.org/10.1007/JHEP09(2019)037	journal	September 2019
Transverse momentum dependent PDFs at N3LO Ebert, Markus A.; Mistlberger, Bernhard; Vita, Gherardo Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)146	journal	September 2020
Collinear expansion for color singlet cross sections Ebert, Markus A.; Mistlberger, Bernhard; Vita, Gherardo Journal of High Energy Physics, Vol. 2020, Issue 9 https://doi.org/10.1007/JHEP09(2020)181	journal	September 2020
Higher-spin correlators Alday, Luis F.; Bissi, Agnese Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)202	journal	October 2013
Four-loop non-singlet splitting functions in the planar limit and beyond Moch, S.; Ruijl, B.; Ueda, T. Journal of High Energy Physics, Vol. 2017, Issue 10 https://doi.org/10.1007/JHEP10(2017)041	journal	October 2017
Transverse parton distribution and fragmentation functions at NNLO: the quark case Luo, Ming-Xing; Wang, Xing; Xu, Xiaofeng Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/JHEP10(2019)083	journal	October 2019
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
Transverse-energy-energy correlations in deep inelastic scattering Li, Hai Tao; Vitev, Ivan; Zhu, Yu Jiao Journal of High Energy Physics, Vol. 2020, Issue 11 https://doi.org/10.1007/JHEP11(2020)051	journal	November 2020
On the transverse spread of QCD jets Konishi, K.; Ukawa, A.; Veneziano, G. Physics Letters B, Vol. 80, Issue 3 https://doi.org/10.1016/0370-2693(79)90212-0	journal	January 1979
The gell-mann-low function of QCD in the three-loop approximation Tarasov, O. V.; Vladimirov, A. A.; Zharkov, A. Yu. Physics Letters B, Vol. 93, Issue 4 https://doi.org/10.1016/0370-2693(80)90358-5	journal	June 1980
Summing soft emission in QCD Kodaira, Jiro; Trentadue, Luca Physics Letters B, Vol. 112, Issue 1 https://doi.org/10.1016/0370-2693(82)90907-8	journal	April 1982
Single logarithm effects in electron-positron annihilation Kodaira, Jiro; Trentadue, Luca Physics Letters B, Vol. 123, Issue 5 https://doi.org/10.1016/0370-2693(83)91213-3	journal	April 1983
Transverse energy-energy correlations: A test of perturbative QCD for the proton-antiproton collider Ali, A.; Pietarinen, E.; Stirling, W. J. Physics Letters B, Vol. 141, Issue 5-6 https://doi.org/10.1016/0370-2693(84)90283-1	journal	July 1984
The three-loop QCD β-function and anomalous dimensions Larin, S. A.; Vermaseren, J. A. M. Physics Letters B, Vol. 303, Issue 3-4 https://doi.org/10.1016/0370-2693(93)91441-O	journal	April 1993
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
Back-to-back jets: Fourier transform from b to kT Collins, John C.; Soper, Davison E. Nuclear Physics B, Vol. 197, Issue 3 https://doi.org/10.1016/0550-3213(82)90453-9	journal	April 1982
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
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
Virtual corrections to gg→H to two loops in the heavy top limit Harlander, Robert V. Physics Letters B, Vol. 492, Issue 1-2 https://doi.org/10.1016/S0370-2693(00)01042-X	journal	October 2000
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
The four-loop β-function in quantum chromodynamics van Ritbergen, T.; Vermaseren, J. A. M.; Larin, S. A. Physics Letters B, Vol. 400, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00370-5	journal	May 1997
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
The three-loop splitting functions in QCD: the non-singlet case Moch, S.; Vermaseren, J. A. M.; Vogt, A. Nuclear Physics B, Vol. 688, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.03.030	journal	June 2004
The three-loop splitting functions in QCD: the singlet case Vogt, A.; Moch, S.; Vermaseren, J. A. M. Nuclear Physics B, Vol. 691, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.04.024	journal	July 2004
The back-to-back region in energy–energy correlation de Florian, Daniel; Grazzini, Massimiliano Nuclear Physics B, Vol. 704, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2004.10.051	journal	January 2005
The four-loop QCD β-function and anomalous dimensions Czakon, M. Nuclear Physics B, Vol. 710, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.01.012	journal	March 2005
Event shapes in N=4 super-Yang–Mills theory Belitsky, A. V.; Hohenegger, S.; Korchemsky, G. P. Nuclear Physics B, Vol. 884 https://doi.org/10.1016/j.nuclphysb.2014.04.019	journal	July 2014
From correlation functions to event shapes Belitsky, A. V.; Hohenegger, S.; Korchemsky, G. P. Nuclear Physics B, Vol. 884 https://doi.org/10.1016/j.nuclphysb.2014.04.020	journal	July 2014
An exponential regulator for rapidity divergences Li, Ye; Neill, Duff; Zhu, Hua Xing Nuclear Physics B, Vol. 960 https://doi.org/10.1016/j.nuclphysb.2020.115193	journal	November 2020
Two-loop quark and gluon form factors in dimensional regularisation Gehrmann, T.; Huber, T.; Maître, D. Physics Letters B, Vol. 622, Issue 3-4 https://doi.org/10.1016/j.physletb.2005.07.019	journal	September 2005
Three-loop results for quark and gluon form factors Moch, S.; Vermaseren, J. A. M.; Vogt, A. Physics Letters B, Vol. 625, Issue 3-4 https://doi.org/10.1016/j.physletb.2005.08.067	journal	October 2005
Adler function, sum rules and Crewther relation of order O(αs4): The singlet case Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physics Letters B, Vol. 714, Issue 1 https://doi.org/10.1016/j.physletb.2012.06.052	journal	July 2012
Foundations of Perturbative QCD Collins, John Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology https://doi.org/10.1017/CBO9780511975592	book	May 2011
The quark form factor at higher orders Moch, Sven-Olaf; Vermaseren, Jozef Antoon M.; Vogt, Andreas Journal of High Energy Physics, Vol. 2005, Issue 08 https://doi.org/10.1088/1126-6708/2005/08/049	journal	August 2005
A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of real-virtual emission Somogyi, Gábor; Trócsányi, Zoltán Journal of High Energy Physics, Vol. 2007, Issue 01 https://doi.org/10.1088/1126-6708/2007/01/052	journal	January 2007
A subtraction scheme for computing QCD jet cross sections at NNLO: regularization of doubly-real emissions Somogyi, Gábor; Trócsányi, Zoltán; Duca, Vittorio Del Journal of High Energy Physics, Vol. 2007, Issue 01 https://doi.org/10.1088/1126-6708/2007/01/070	journal	January 2007
Conformal collider physics: energy and charge correlations Hofman, Diego M.; Maldacena, Juan Journal of High Energy Physics, Vol. 2008, Issue 05 https://doi.org/10.1088/1126-6708/2008/05/012	journal	May 2008
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
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
Analytic integration of real-virtual counterterms in NNLO jet cross sections I Aglietti, Ugo; Duca, Vittorio Del; Duhr, Claude Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/107	journal	September 2008
Analytic continuation and reciprocity relation for collinear splitting in QCD * Chen, Hao; Yang, Tong-Zhi; Zhu, Hua-Xing Chinese Physics C, Vol. 45, Issue 4 https://doi.org/10.1088/1674-1137/abde2d	journal	April 2021
Collinear limit of the energy-energy correlator Dixon, Lance J.; Moult, Ian; Zhu, Hua Xing Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevD.100.014009	journal	July 2019
Energy-energy correlation in N = 4 super Yang-Mills theory at next-to-next-to-leading order Henn, J. M.; Sokatchev, E.; Yan, K. Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.036010	journal	August 2019
Transverse-momentum-dependent factorization for lattice observables Vladimirov, Alexey A.; Schäfer, Andreas Physical Review D, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevD.101.074517	journal	April 2020
Collins-Soper kernel for TMD evolution from lattice QCD Shanahan, Phiala; Wagman, Michael; Zhao, Yong Physical Review D, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevD.102.014511	journal	July 2020
Rethinking jets with energy correlators: Tracks, resummation, and analytic continuation Chen, Hao; Moult, Ian; Zhang, XiaoYuan Physical Review D, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevD.102.054012	journal	September 2020
Energy-energy correlators in deep inelastic scattering Li, Hai Tao; Makris, Yiannis; Vitev, Ivan Physical Review D, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevD.103.094005	journal	May 2021
Summing Sudakov logarithms in 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
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
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
Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond Bern, Zvi; Dixon, Lance J.; Smirnov, Vladimir A. Physical Review D, Vol. 72, Issue 8 https://doi.org/10.1103/PhysRevD.72.085001	journal	October 2005
Thrust at N 3 LL with power corrections and a precision global fit for α s ( m Z ) Abbate, Riccardo; Fickinger, Michael; Hoang, André H. Physical Review D, Vol. 83, Issue 7 https://doi.org/10.1103/PhysRevD.83.074021	journal	April 2011
Jet p T resummation in Higgs production at NNLL ′ + NNLO Stewart, Iain W.; Tackmann, Frank J.; Walsh, Jonathan R. Physical Review D, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevD.89.054001	journal	March 2014
Precise determination of α s from the C -parameter distribution Hoang, André H.; Kolodrubetz, Daniel W.; Mateu, Vicent Physical Review D, Vol. 91, Issue 9 https://doi.org/10.1103/PhysRevD.91.094018	journal	May 2015
Gluon jet function at three loops in QCD Banerjee, Pulak; Dhani, Prasanna K.; Ravindran, V. Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.094016	journal	November 2018
Determining the nonperturbative Collins-Soper kernel from lattice QCD Ebert, Markus A.; Stewart, Iain W.; Zhao, Yong Physical Review D, Vol. 99, Issue 3 https://doi.org/10.1103/PhysRevD.99.034505	journal	February 2019
Quark and Gluon Form Factors to Three Loops Baikov, P. A.; Chetyrkin, K. G.; Smirnov, A. V. Physical Review Letters, Vol. 102, Issue 21 https://doi.org/10.1103/PhysRevLett.102.212002	journal	May 2009
Complete O ( α s 4 ) QCD Corrections to Hadronic Z Decays Baikov, P. A.; Chetyrkin, K. G.; Kühn, J. H. Physical Review Letters, Vol. 108, Issue 22 https://doi.org/10.1103/PhysRevLett.108.222003	journal	May 2012
Energy-Energy Correlations in N = 4 Supersymmetric Yang-Mills Theory Belitsky, A. V.; Hohenegger, S.; Korchemsky, G. P. Physical Review Letters, Vol. 112, Issue 7 https://doi.org/10.1103/PhysRevLett.112.071601	journal	February 2014
Three-Jet Production in Electron-Positron Collisions at Next-to-Next-to-Leading Order Accuracy Del Duca, Vittorio; Duhr, Claude; Kardos, Adam Physical Review Letters, Vol. 117, Issue 15 https://doi.org/10.1103/PhysRevLett.117.152004	journal	October 2016
Bootstrapping Rapidity Anomalous Dimensions for Transverse-Momentum Resummation Li, Ye; Zhu, Hua Xing Physical Review Letters, Vol. 118, Issue 2 https://doi.org/10.1103/PhysRevLett.118.022004	journal	January 2017
Correspondence between Soft and Rapidity Anomalous Dimensions Vladimirov, Alexey A. Physical Review Letters, Vol. 118, Issue 6 https://doi.org/10.1103/PhysRevLett.118.062001	journal	February 2017
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
Three-Loop Quark Jet Function Brüser, Robin; Liu, Ze Long; Stahlhofen, Maximilian Physical Review Letters, Vol. 121, Issue 7 https://doi.org/10.1103/PhysRevLett.121.072003	journal	August 2018
Matter Dependence of the Four-Loop Cusp Anomalous Dimension Henn, J. M.; Peraro, T.; Stahlhofen, M. Physical Review Letters, Vol. 122, Issue 20 https://doi.org/10.1103/PhysRevLett.122.201602	journal	May 2019
Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit Gao, AnJie; Li, Hai Tao; Moult, Ian Physical Review Letters, Vol. 123, Issue 6 https://doi.org/10.1103/PhysRevLett.123.062001	journal	August 2019
Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order Luo, Ming-xing; Yang, Tong-Zhi; Zhu, Hua Xing Physical Review Letters, Vol. 124, Issue 9 https://doi.org/10.1103/PhysRevLett.124.092001	journal	March 2020
Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors von Manteuffel, Andreas; Panzer, Erik; Schabinger, Robert M. Physical Review Letters, Vol. 124, Issue 16 https://doi.org/10.1103/PhysRevLett.124.162001	journal	April 2020
Lattice QCD Calculations of Transverse-Momentum-Dependent Soft Function through Large-Momentum Effective Theory Zhang, Qi-An; Hua, Jun; Huo, Yikai Physical Review Letters, Vol. 125, Issue 19 https://doi.org/10.1103/PhysRevLett.125.192001	journal	November 2020
Self-Contained Definition of the Collins-Soper Kernel Vladimirov, Alexey A. Physical Review Letters, Vol. 125, Issue 19 https://doi.org/10.1103/PhysRevLett.125.192002	journal	November 2020
Quantum Interference in Jet Substructure from Spinning Gluons Chen, Hao; Moult, Ian; Zhu, Hua Xing Physical Review Letters, Vol. 126, Issue 11 https://doi.org/10.1103/PhysRevLett.126.112003	journal	March 2021
Energy Correlations in Electron-Positron Annihilation: Testing Quantum Chromodynamics Basham, C. Louis; Brown, Lowell S.; Ellis, Stephen D. Physical Review Letters, Vol. 41, Issue 23 https://doi.org/10.1103/PhysRevLett.41.1585	journal	December 1978
Universality of Soft and Collinear Factors in Hard-Scattering Factorization Collins, John C.; Metz, Andreas Physical Review Letters, Vol. 93, Issue 25 https://doi.org/10.1103/PhysRevLett.93.252001	journal	December 2004
Drell–Yan production at small q T , transverse parton distributions and the collinear anomaly Becher, Thomas; Neubert, Matthias The European Physical Journal C, Vol. 71, Issue 6 https://doi.org/10.1140/epjc/s10052-011-1665-7	journal	June 2011
Energy–energy correlation in electron–positron annihilation at NNLL + NNLO accuracy Tulipánt, Zoltán; Kardos, Adam; Somogyi, Gábor The European Physical Journal C, Vol. 77, Issue 11 https://doi.org/10.1140/epjc/s10052-017-5320-9	journal	November 2017
Precise determination of $$\alpha _{S}(M_Z)$$ α S ( M Z ) from a global fit of energy–energy correlation to NNLO+NNLL predictions Kardos, Adam; Kluth, Stefan; Somogyi, Gábor The European Physical Journal C, Vol. 78, Issue 6 https://doi.org/10.1140/epjc/s10052-018-5963-1	journal	June 2018
Transverse energy–energy correlations of jets in the electron–proton deep inelastic scattering at HERA Ali, Ahmed; Li, Gang; Wang, Wei The European Physical Journal C, Vol. 80, Issue 12 https://doi.org/10.1140/epjc/s10052-020-08614-3	journal	November 2020
A toolbox for $$q_{T}$$ and 0-jettiness subtractions at $$\hbox {N}^3\hbox {LO}$$ Billis, Georgios; Ebert, Markus A.; Michel, Johannes K. L. The European Physical Journal Plus, Vol. 136, Issue 2 https://doi.org/10.1140/epjp/s13360-021-01155-y	journal	February 2021
Harmonic Polylogarithms Remiddi, E.; Vermaseren, J. A. M. International Journal of Modern Physics A, Vol. 15, Issue 05 https://doi.org/10.1142/S0217751X00000367	journal	February 2000
The large $N$ limit of superconformal field theories and supergravity Maldacena, Juan Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a1	journal	January 1998

Similar Records

TMD fragmentation functions at N₃LO

Journal Article · 2021 · Journal of High Energy Physics (Online) · OSTI ID:1819723

Ebert, Markus A.; Mistlberger, Bernhard; Vita, Gherardo

The transverse momentum distribution of hadrons within jets

Journal Article · 2017 · Journal of High Energy Physics (Online) · OSTI ID:1420109

Kang, Zhong -Bo; Liu, Xiaohui; Ringer, Felix; +1 more

Transverse momentum dependent PDFs at N3LO

Journal Article · 2020 · Journal of High Energy Physics (Online) · OSTI ID:1711418

Ebert, Markus A.; Mistlberger, Bernhard; Vita, Gherardo

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Effective Field Theories
Perturbative QCD
Resummation

Title: The Energy-Energy Correlation in the back-to-back limit at N3LO and N3LL'

Citation Formats

References (128)

Similar Records

Related Subjects

Title: The Energy-Energy Correlation in the back-to-back limit at N³LO and N³LL'