Numerical resummation at subleading color in the strongly ordered soft gluon limit

Höche, Stefan; Reichelt, Daniel

doi:10.1103/PhysRevD.104.034006

Title: Numerical resummation at subleading color in the strongly ordered soft gluon limit

Journal Article · Mon Aug 09 00:00:00 EDT 2021 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.104.034006· OSTI ID:1812423

Höche, Stefan;

We present a Monte Carlo approach to soft-gluon resummation at subleading color which can be used to improve existing parton shower algorithms. At the single-emission level, soft-collinear enhancements of the splitting functions are explicitly linked to quadratic Casimir operators, while wide angle single-soft enhancements are connected to nontrivial color correlators. We focus on a numerically stable implementation of color matrix element corrections to all orders and approximate the virtual corrections by requiring unitarity at the single-emission level. We provide a proof-of-concept implementation to compute nonglobal event shapes at lepton colliders.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

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

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1812423

Alternate ID(s):: OSTI ID: 1606224

Report Number(s):: FERMILAB-PUB-20-028-T; MCNET-20-06; arXiv:2001.11492; PRVDAQ; 034006

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 104 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (54)

Super-leading logarithms in non-global observables in QCD: colour basis independent calculation Forshaw, J. R.; Kyrieleis, A.; Seymour, M. H. Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/128	journal	September 2008
A parton shower based on factorization of the quantum density matrix Nagy, Zoltán; Soper, Davison E. Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)097	journal	June 2014
Color-flow decomposition of QCD amplitudes Maltoni, F.; Paul, K.; Stelzer, T. Physical Review D, Vol. 67, Issue 1 https://doi.org/10.1103/PhysRevD.67.014026	journal	January 2003
Parton branching at amplitude level Forshaw, Jeffrey R.; Holguin, Jack; Plätzer, Simon Journal of High Energy Physics, Vol. 2019, Issue 8 https://doi.org/10.1007/JHEP08(2019)145	journal	August 2019
Improvements on dipole shower colour Holguin, Jack; Forshaw, Jeffrey R.; Plätzer, Simom The European Physical Journal C, Vol. 81, Issue 4 https://doi.org/10.1140/epjc/s10052-021-09145-1	journal	April 2021
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
Fitting the strong coupling constant with soft-drop thrust Marzani, Simone; Reichelt, Daniel; Schumann, Steffen Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/JHEP11(2019)179	journal	November 2019
Non-global jet evolution at finite Nc Weigert, Heribert Nuclear Physics B, Vol. 685, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2004.03.002	journal	May 2004
Safe use of jet pull Larkoski, Andrew; Marzani, Simone; Wu, Chang Journal of High Energy Physics, Vol. 2020, Issue 1 https://doi.org/10.1007/JHEP01(2020)104	journal	January 2020
Resummed event-shape variables in DIS Dasgupta, Mrinal; Salam, Gavin P. Journal of High Energy Physics, Vol. 2002, Issue 08 https://doi.org/10.1088/1126-6708/2002/08/032	journal	August 2002
Jet structure and infrared sensitive quantities in perturbative QCD Bassetto, A.; Ciafaloni, M.; Marchesini, G. Physics Reports, Vol. 100, Issue 4 https://doi.org/10.1016/0370-1573(83)90083-2	journal	November 1983
The dijet cross section with a jet veto Delgado, Rosa María Durán; Forshaw, Jeffrey R.; Marzani, Simone Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)157	journal	August 2011
Multijet matrix elements and shower evolution in hadronic collisions: -jets as a case study Mangano, Michelangelo L.; Moretti, Mauro; Pittau, Roberto Nuclear Physics B, Vol. 632, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00249-3	journal	June 2002
A general algorithm for calculating jet cross sections in NLO QCD Catani, S.; Seymour, M. H. Nuclear Physics B, Vol. 485, Issue 1-2 https://doi.org/10.1016/S0550-3213(96)00589-5	journal	February 1997
Away-from-jet energy flow Banfi, Andrea; Marchesini, Giuseppe; Smye, Graham Journal of High Energy Physics, Vol. 2002, Issue 08 https://doi.org/10.1088/1126-6708/2002/08/006	journal	August 2002
Parton showers with quantum interference: leading color, spin averaged Nagy, Zoltán; Soper, Davison E. Journal of High Energy Physics, Vol. 2008, Issue 03 https://doi.org/10.1088/1126-6708/2008/03/030	journal	March 2008
Two-Jet Rate in $e^{+} e^{-}$ at Next-to-Next-to-Leading-Logarithmic Order Banfi, Andrea; McAslan, Heather; Monni, Pier Francesco Physical Review Letters, Vol. 117, Issue 17 https://doi.org/10.1103/PhysRevLett.117.172001	journal	October 2016
Momentum conservation and unitarity in parton showers and NLL resummation Höche, Stefan; Reichelt, Daniel; Siegert, Frank Journal of High Energy Physics, Vol. 2018, Issue 1 https://doi.org/10.1007/JHEP01(2018)118	journal	January 2018
Towards colour flow evolution at two loops Plätzer, Simon; Ruffa, Ines Journal of High Energy Physics, Vol. 2021, Issue 6 https://doi.org/10.1007/JHEP06(2021)007	journal	June 2021
The midpoint between dipole and parton showers Höche, Stefan; Prestel, Stefan The European Physical Journal C, Vol. 75, Issue 9 https://doi.org/10.1140/epjc/s10052-015-3684-2	journal	September 2015
Jet vetoing at the LHC Forshaw, Jeffrey; Keates, James; Marzani, Simone Journal of High Energy Physics, Vol. 2009, Issue 07 https://doi.org/10.1088/1126-6708/2009/07/023	journal	July 2009
Parton showers with more exact color evolution Nagy, Zoltán; Soper, Davison E. Physical Review D, Vol. 99, Issue 5 https://doi.org/10.1103/PhysRevD.99.054009	journal	March 2019
Erratum to: Factorization and resummation for jet processes Becher, Thomas; Neubert, Matthias; Rothen, Lorena Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)154	journal	May 2017
Leading-color fully differential two-loop soft corrections to QCD dipole showers Dulat, Falko; Höche, Stefan; Prestel, Stefan Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.074013	journal	October 2018
Nagy-Soper subtraction scheme for multiparton final states Chung, Cheng-Han; Robens, Tania Physical Review D, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevD.87.074032	journal	April 2013
New clustering algorithm for multijet cross sections in e+e− annihilation Catani, S.; Dokshitzer, Yu. L.; Olsson, M. Physics Letters B, Vol. 269, Issue 3-4 https://doi.org/10.1016/0370-2693(91)90196-W	journal	October 1991
Effective Field Theory for Jet Processes Becher, Thomas; Neubert, Matthias; Rothen, Lorena Physical Review Letters, Vol. 116, Issue 19 https://doi.org/10.1103/PhysRevLett.116.192001	journal	May 2016
An alternative subtraction scheme for next-to-leading order QCD calculations Chung, C. H.; Krämer, M.; Robens, T. Journal of High Energy Physics, Vol. 2011, Issue 6 https://doi.org/10.1007/JHEP06(2011)144	journal	June 2011
Resummation of non-global QCD observables Dasgupta, M.; Salam, G. P. Physics Letters B, Vol. 512, Issue 3-4 https://doi.org/10.1016/S0370-2693(01)00725-0	journal	July 2001
Super-leading logarithms in non-global observables in QCD? Forshaw, Jeffrey R.; Kyrieleis, Albrecht; Seymour, Michael H. Journal of High Energy Physics, Vol. 2006, Issue 08 https://doi.org/10.1088/1126-6708/2006/08/059	journal	August 2006
Exponentiating virtual imaginary contributions in a parton shower Nagy, Zoltán; Soper, Davison E. Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevD.100.074005	journal	October 2019
Soft gluon evolution and non-global logarithms Martínez, René Ángeles; De Angelis, Matthew; Forshaw, Jeffrey R. Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)044	journal	May 2018
QCD and Collider Physics Ellis, R. K.; Stirling, W. J.; Webber, B. R. https://doi.org/10.1017/CBO9780511628788	book	January 1996
Principles of general final-state resummation and automated implementation Banfi, Andrea; Salam, Gavin P.; Zanderighi, Giulia Journal of High Energy Physics, Vol. 2005, Issue 03 https://doi.org/10.1088/1126-6708/2005/03/073	journal	March 2005
Hemisphere jet mass distribution at finite N c Hagiwara, Yoshikazu; Hatta, Yoshitaka; Ueda, Takahiro Physics Letters B, Vol. 756 https://doi.org/10.1016/j.physletb.2016.03.028	journal	May 2016
Subleading Nc improved parton showers Plätzer, Simon; Sjödahl, Malin Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)042	journal	July 2012
NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production Banfi, Andrea; Salam, Gavin P.; Zanderighi, Giulia Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)159	journal	June 2012
Color matrix element corrections for parton showers Plätzer, Simon; Sjodahl, Malin; Thorén, Johan Journal of High Energy Physics, Vol. 2018, Issue 11 https://doi.org/10.1007/JHEP11(2018)009	journal	November 2018
Resummation of non-global logarithms at finite <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:math> Hatta, Yoshitaka; Ueda, Takahiro Nuclear Physics B, Vol. 874, Issue 3 https://doi.org/10.1016/j.nuclphysb.2013.06.021	journal	September 2013
Jet-vetoed Higgs cross section in gluon fusion at N3LO+NNLL with small-R resummation Banfi, Andrea; Caola, Fabrizio; Dreyer, Frédéric A. Journal of High Energy Physics, Vol. 2016, Issue 4 https://doi.org/10.1007/JHEP04(2016)049	journal	April 2016
Resummation and Simulation of Soft Gluon Effects beyond Leading Color De Angelis, Matthew; Forshaw, Jeffrey R.; Plätzer, Simon Physical Review Letters, Vol. 126, Issue 11 https://doi.org/10.1103/PhysRevLett.126.112001	journal	March 2021
Parton showers with quantum interference Nagy, Zoltán; Soper, Davison E. Journal of High Energy Physics, Vol. 2007, Issue 09 https://doi.org/10.1088/1126-6708/2007/09/114	journal	September 2007
Stochastically sampling color configurations Isaacson, Joshua; Prestel, Stefan Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/PhysRevD.99.014021	journal	January 2019
Higgs- and $Z$ -boson Production with a Jet Veto Banfi, Andrea; Monni, Pier Francesco; Salam, Gavin P. Physical Review Letters, Vol. 109, Issue 20 https://doi.org/10.1103/PhysRevLett.109.202001	journal	November 2012
Multiplicity distributions in QCD cascades Gustafson, Gösta Nuclear Physics B, Vol. 392, Issue 1 https://doi.org/10.1016/0550-3213(93)90203-2	journal	March 1993
QCD matrix elements and truncated showers Höche, Stefan; Krauss, Frank; Schumann, Steffen Journal of High Energy Physics, Vol. 2009, Issue 05 https://doi.org/10.1088/1126-6708/2009/05/053	journal	May 2009
Semi-numerical resummation of event shapes Banfi, Andrea; Salam, Gavin P.; Zanderighi, Giulia Journal of High Energy Physics, Vol. 2002, Issue 01 https://doi.org/10.1088/1126-6708/2002/01/018	journal	January 2002
Generalized resummation of QCD final-state observables Banfi, A.; Salam, G. P.; Zanderighi, G. Physics Letters B, Vol. 584, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.01.048	journal	April 2004
Parton showers with quantum interference: leading color, with spin Nagy, Zoltán; Soper, Davison E. Journal of High Energy Physics, Vol. 2008, Issue 07 https://doi.org/10.1088/1126-6708/2008/07/025	journal	July 2008
Factorization and resummation for jet processes Becher, Thomas; Neubert, Matthias; Rothen, Lorena Journal of High Energy Physics, Vol. 2016, Issue 11 https://doi.org/10.1007/JHEP11(2016)019	journal	November 2016
Parton shower evolution with subleading color Nagy, Zoltán; Soper, Davison E. Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)044	journal	June 2012
A general method for the resummation of event-shape distributions in e + e − annihilation Banfi, Andrea; McAslan, Heather; Monni, Pier Francesco Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)102	journal	May 2015
Resummed event shapes at hadron-hadron colliders Banfi, Andrea; Salam, Gavin P.; Zanderighi, Giulia Journal of High Energy Physics, Vol. 2004, Issue 08 https://doi.org/10.1088/1126-6708/2004/08/062	journal	August 2004
Resummation of non-global logarithms and the BFKL equation Caron-Huot, Simon Journal of High Energy Physics, Vol. 2018, Issue 3 https://doi.org/10.1007/JHEP03(2018)036	journal	March 2018

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