Soft-Collinear Mode for Jet Rates in Soft-Collinear Effective Theory
Abstract
We propose the addition of a new "soft-collinear" mode to soft collinear effective theory (SCET) below the usual soft scale to factorize and resum logarithms of jet radii R in jet cross sections. We consider exclusive 2-jet cross sections in e+e- collisions with an energy veto Λ on additional jets. The key observation is that there are actually two pairs of energy scales whose ratio is R: the transverse momentum QR of the energetic particles inside jets and their total energy Q, and the transverse momentum ΛR of soft particles that are cut out of the jet cones and their energy Λ. The soft-collinear mode is necessary to factorize and resum logarithms of the latter hierarchy. We show how this factorization occurs in the jet thrust cross section for cone and kT-type algorithms at O(αs) and using the thrust cone algorithm at O(α$$2\atop{s}$$). We identify the presence of hard-collinear, in-jet soft, global (veto) soft, and soft-collinear modes in the jet thrust cross section. We also observe here that the in-jet soft modes measured with thrust are actually the "csoft" modes of the theory SCET+. We dub the new theory with both csoft and soft-collinear modes "SCET++". We go on to explain the relation between the "unmeasured" jet function appearing in total exclusive jet cross sections and the hard-collinear and csoft functions in measured jet thrust cross sections. We do not resum logs that are non-global in origin, arising from the ratio of the scales of soft radiation whose thrust is measured at Q$${{\tau}}$$/R and of the soft-collinear radiation at 2ΛR. Their resummation would require the introduction of additional operators beyond those we consider here. The steps we outline here are a necessary part of summing logs of R that are global in nature and have not been factorized and resummed beyond leading-log level previously.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1334119
- Alternate Identifier(s):
- OSTI ID: 1236513
- Report Number(s):
- LA-UR-15-26983
Journal ID: ISSN 2470-0010
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 1; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Atomic and Nuclear Physics
Citation Formats
Chien, Yang-Ting, Lee, Christopher, and Hornig, Andrew. Soft-Collinear Mode for Jet Rates in Soft-Collinear Effective Theory. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.014033.
Chien, Yang-Ting, Lee, Christopher, & Hornig, Andrew. Soft-Collinear Mode for Jet Rates in Soft-Collinear Effective Theory. United States. https://doi.org/10.1103/PhysRevD.93.014033
Chien, Yang-Ting, Lee, Christopher, and Hornig, Andrew. Fri .
"Soft-Collinear Mode for Jet Rates in Soft-Collinear Effective Theory". United States. https://doi.org/10.1103/PhysRevD.93.014033. https://www.osti.gov/servlets/purl/1334119.
@article{osti_1334119,
title = {Soft-Collinear Mode for Jet Rates in Soft-Collinear Effective Theory},
author = {Chien, Yang-Ting and Lee, Christopher and Hornig, Andrew},
abstractNote = {We propose the addition of a new "soft-collinear" mode to soft collinear effective theory (SCET) below the usual soft scale to factorize and resum logarithms of jet radii R in jet cross sections. We consider exclusive 2-jet cross sections in e+e- collisions with an energy veto Λ on additional jets. The key observation is that there are actually two pairs of energy scales whose ratio is R: the transverse momentum QR of the energetic particles inside jets and their total energy Q, and the transverse momentum ΛR of soft particles that are cut out of the jet cones and their energy Λ. The soft-collinear mode is necessary to factorize and resum logarithms of the latter hierarchy. We show how this factorization occurs in the jet thrust cross section for cone and kT-type algorithms at O(αs) and using the thrust cone algorithm at O(α$2\atop{s}$). We identify the presence of hard-collinear, in-jet soft, global (veto) soft, and soft-collinear modes in the jet thrust cross section. We also observe here that the in-jet soft modes measured with thrust are actually the "csoft" modes of the theory SCET+. We dub the new theory with both csoft and soft-collinear modes "SCET++". We go on to explain the relation between the "unmeasured" jet function appearing in total exclusive jet cross sections and the hard-collinear and csoft functions in measured jet thrust cross sections. We do not resum logs that are non-global in origin, arising from the ratio of the scales of soft radiation whose thrust is measured at Q${{\tau}}$/R and of the soft-collinear radiation at 2ΛR. Their resummation would require the introduction of additional operators beyond those we consider here. The steps we outline here are a necessary part of summing logs of R that are global in nature and have not been factorized and resummed beyond leading-log level previously.},
doi = {10.1103/PhysRevD.93.014033},
journal = {Physical Review D},
number = 1,
volume = 93,
place = {United States},
year = {Fri Jan 29 00:00:00 EST 2016},
month = {Fri Jan 29 00:00:00 EST 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 45 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
QCD resummation for hadronic final states
journal, September 2015
- Luisoni, Gionata; Marzani, Simone
- Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 10
Momentum flow correlations from event shapes: Factorized soft gluons and soft-collinear effective theory
journal, January 2007
- Lee, Christopher; Sterman, George
- Physical Review D, Vol. 75, Issue 1
Summing Sudakov logarithms in in effective field theory
journal, December 2000
- Bauer, Christian W.; Fleming, Sean; Luke, Michael
- Physical Review D, Vol. 63, Issue 1
An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001
- Bauer, Christian W.; Fleming, Sean; Pirjol, Dan
- Physical Review D, Vol. 63, Issue 11
Invariant operators in collinear effective theory
journal, September 2001
- Bauer, Christian W.; Stewart, Iain W.
- Physics Letters B, Vol. 516, Issue 1-2
Soft-collinear factorization in effective field theory
journal, February 2002
- Bauer, Christian W.; Pirjol, Dan; Stewart, Iain W.
- Physical Review D, Vol. 65, Issue 5
Hard scattering factorization from effective field theory
journal, July 2002
- Bauer, Christian W.; Fleming, Sean; Pirjol, Dan
- Physical Review D, Vol. 66, Issue 1
A precise determination of α s from LEP thrust data using effective field theory
journal, July 2008
- Becher, Thomas; Schwartz, Matthew D.
- Journal of High Energy Physics, Vol. 2008, Issue 07
Thrust at with power corrections and a precision global fit for
journal, April 2011
- Abbate, Riccardo; Fickinger, Michael; Hoang, André H.
- Physical Review D, Vol. 83, Issue 7
Resummation of heavy jet mass and comparison to LEP data
journal, August 2010
- Chien, Yang-ting; Schwartz, Matthew D.
- Journal of High Energy Physics, Vol. 2010, Issue 8
-parameter distribution at including power corrections
journal, May 2015
- Hoang, André H.; Kolodrubetz, Daniel W.; Mateu, Vicent
- Physical Review D, Vol. 91, Issue 9
Consistent factorization of jet observables in exclusive multijet cross sections
journal, May 2010
- Ellis, Stephen D.; Hornig, Andrew; Lee, Christopher
- Physics Letters B, Vol. 689, Issue 2-3
Jet shapes and jet algorithms in SCET
journal, November 2010
- Ellis, Stephen D.; Vermilion, Christopher K.; Walsh, Jonathan R.
- Journal of High Energy Physics, Vol. 2010, Issue 11
Jet shapes with the broadening axis
journal, April 2014
- Larkoski, Andrew J.; Neill, Duff; Thaler, Jesse
- Journal of High Energy Physics, Vol. 2014, Issue 4
On jet mass distributions in Z+jet and dijet processes at the LHC
journal, October 2012
- Dasgupta, Mrinal; Khelifa-Kerfa, Kamel; Marzani, Simone
- Journal of High Energy Physics, Vol. 2012, Issue 10
Resummation of jet mass at hadron colliders
journal, January 2013
- Chien, Yang-Ting; Kelley, Randall; Schwartz, Matthew D.
- Physical Review D, Vol. 87, Issue 1
Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order
journal, September 2013
- Jouttenus, Teppo T.; Stewart, Iain W.; Tackmann, Frank J.
- Physical Review D, Vol. 88, Issue 5
Resummation prediction on the jet mass spectrum in one-jet inclusive production at the LHC
journal, April 2015
- Liu, Ze Long; Li, Chong Sheng; Wang, Jian
- Journal of High Energy Physics, Vol. 2015, Issue 4
Non-global logarithms, factorization, and the soft substructure of jets
journal, September 2015
- Larkoski, Andrew J.; Moult, Ian; Neill, Duff
- Journal of High Energy Physics, Vol. 2015, Issue 9
Small-radius jets to all orders in QCD
journal, April 2015
- Dasgupta, Mrinal; Dreyer, Frédéric; Salam, Gavin P.
- Journal of High Energy Physics, Vol. 2015, Issue 4
Jets at hadron colliders at order : A look inside
journal, December 1992
- Ellis, Stephen D.; Kunszt, Zoltan; Soper, Davison E.
- Physical Review Letters, Vol. 69, Issue 25
Jet shapes in hadron collisions: Higher orders, resummation and hadronization
journal, March 1998
- Seymour, M. H.
- Nuclear Physics B, Vol. 513, Issue 1-2
Jet shape resummation using soft-collinear effective theory
journal, December 2014
- Chien, Yang-Ting; Vitev, Ivan
- Journal of High Energy Physics, Vol. 2014, Issue 12
Jets from Quantum Chromodynamics
journal, December 1977
- Sterman, George; Weinberg, Steven
- Physical Review Letters, Vol. 39, Issue 23
New clustering algorithm for multijet cross sections in e+e− annihilation
journal, October 1991
- Catani, S.; Dokshitzer, Yu. L.; Olsson, M.
- Physics Letters B, Vol. 269, Issue 3-4
Longitudinally-invariant k⊥-clustering algorithms for hadron-hadron collisions
journal, September 1993
- Catani, S.; Dokshitzer, Yu. L.; Seymour, M. H.
- Nuclear Physics B, Vol. 406, Issue 1-2
Successive combination jet algorithm for hadron collisions
journal, October 1993
- Ellis, Stephen D.; Soper, Davison E.
- Physical Review D, Vol. 48, Issue 7
Better jet clustering algorithms
journal, August 1997
- Dokshitzer, Yu. L.; Leder, G. D.; Moretti, S.
- Journal of High Energy Physics, Vol. 1997, Issue 08
The anti- k t jet clustering algorithm
journal, April 2008
- Cacciari, Matteo; Salam, Gavin P.; Soyez, Gregory
- Journal of High Energy Physics, Vol. 2008, Issue 04
A practical seedless infrared-safe cone jet algorithm
journal, May 2007
- Salam, Gavin P.; Soyez, Grégory
- Journal of High Energy Physics, Vol. 2007, Issue 05
Phase space and jet definitions in soft-collinear effective theory
journal, December 2009
- Cheung, William Man-Yin; Luke, Michael; Zuberi, Saba
- Physical Review D, Vol. 80, Issue 11
Jets in effective theory: Summing phase space logs
journal, March 2007
- Trott, Michael
- Physical Review D, Vol. 75, Issue 5
Jet mass with a jet veto at two loops and the universality of nonglobal structure
journal, September 2012
- Kelley, Randall; Schwartz, Matthew D.; Schabinger, Robert M.
- Physical Review D, Vol. 86, Issue 5
The complete two-loop integrated jet thrust distribution in soft-collinear effective theory
journal, March 2014
- von Manteuffel, Andreas; Schabinger, Robert M.; Zhu, Hua Xing
- Journal of High Energy Physics, Vol. 2014, Issue 3
Factorization of the dijet cross section in electron-positron annihilation with jet algorithms
journal, August 2015
- Chay, Junegone; Kim, Chul; Kim, Inchol
- Physical Review D, Vol. 92, Issue 3
Analysis of exclusive jet algorithms in electron-positron annihilation
journal, October 2015
- Chay, Junegone; Kim, Chul; Kim, Inchol
- Physical Review D, Vol. 92, Issue 7
Resummation of non-global QCD observables
journal, July 2001
- Dasgupta, M.; Salam, G. P.
- Physics Letters B, Vol. 512, Issue 3-4
Non-global logarithms and jet algorithms in high-p T jet shapes
journal, August 2010
- Banfi, Andrea; Dasgupta, Mrinal; Khelifa-Kerfa, Kamel
- Journal of High Energy Physics, Vol. 2010, Issue 8
Double non-global logarithms in-n-out of jets
journal, January 2012
- Hornig, Andrew; Lee, Christopher; Walsh, Jonathan R.
- Journal of High Energy Physics, Vol. 2012, Issue 1
Factorization and resummation for dijet invariant mass spectra
journal, April 2012
- Bauer, Christian W.; Tackmann, Frank J.; Walsh, Jonathan R.
- Physical Review D, Vol. 85, Issue 7
Renormalization of the Wilson loops beyond the leading order
journal, January 1987
- Korchemsky, G. P.; Radyushkin, A. V.
- Nuclear Physics B, Vol. 283
Resummation of double-differential cross sections and fully-unintegrated parton distribution functions
journal, February 2015
- Procura, Massimiliano; Waalewijn, Wouter J.; Zeune, Lisa
- Journal of High Energy Physics, Vol. 2015, Issue 2
Abelian non-global logarithms from soft gluon clustering
journal, September 2012
- Kelley, Randall; Walsh, Jonathan R.; Zuberi, Saba
- Journal of High Energy Physics, Vol. 2012, Issue 9
EERAD3: Event shapes and jet rates in electron–positron annihilation at order
journal, December 2014
- Gehrmann-De Ridder, A.; Gehrmann, T.; Glover, E. W. N.
- Computer Physics Communications, Vol. 185, Issue 12
Enhanced nonperturbative effects in Z decays to hadrons
journal, August 2004
- Bauer, Christian W.; Lee, Christopher; Manohar, Aneesh V.
- Physical Review D, Vol. 70, Issue 3
Deep inelastic scattering as using soft-collinear effective theory
journal, December 2003
- Manohar, Aneesh V.
- Physical Review D, Vol. 68, Issue 11
Shape function effects in and decays
journal, August 2004
- Bauer, Christian W.; Manohar, Aneesh V.
- Physical Review D, Vol. 70, Issue 3
Effective predictions of event shapes: factorized, resummed and gapped angularity distributions
journal, May 2009
- Hornig, Andrew; Lee, Christopher; Ovanesyan, Grigory
- Journal of High Energy Physics, Vol. 2009, Issue 05
Top jets in the peak region: Factorization analysis with next-to-leading-log resummation
journal, June 2008
- Fleming, Sean; Hoang, Andre H.; Mantry, Sonny
- Physical Review D, Vol. 77, Issue 11
Factorization of event shape distributions with hadronic final states in soft collinear effective theory
journal, August 2008
- Bauer, Christian W.; Fleming, Sean; Lee, Christopher
- Physical Review D, Vol. 78, Issue 3
The zero-bin and mode factorization in quantum field theory
journal, October 2007
- Manohar, Aneesh V.; Stewart, Iain W.
- Physical Review D, Vol. 76, Issue 7
Infrared safety in factorized hard scattering cross-sections
journal, June 2009
- Hornig, Andrew; Lee, Christopher; Ovanesyan, Grigory
- Physics Letters B, Vol. 677, Issue 5
Jet function with a jet algorithm in soft-collinear effective theory
journal, May 2010
- Jouttenus, Teppo T.
- Physical Review D, Vol. 81, Issue 9
Dynamical threshold enhancement and resummation in Drell-Yan production
journal, July 2008
- Becher, Thomas; Neubert, Matthias; Xu, Gang
- Journal of High Energy Physics, Vol. 2008, Issue 07
Factorization and shape-function effects in inclusive B-meson decays
journal, November 2004
- Bosch, S. W.; Lange, B. O.; Neubert, M.
- Nuclear Physics B, Vol. 699, Issue 1-2
The quark form factor at higher orders
journal, August 2005
- Moch, Sven-Olaf; Vermaseren, Jozef Antoon M.; Vogt, Andreas
- Journal of High Energy Physics, Vol. 2005, Issue 08
Resummation of threshold logarithms in effective field theory for DIS, Drell–Yan and Higgs production
journal, October 2006
- Idilbi, Ahmad; Ji, Xiangdong; Yuan, Feng
- Nuclear Physics B, Vol. 753, Issue 1-2
Factorization and momentum-space resummation in deep-inelastic scattering
journal, January 2007
- Becher, Thomas; Neubert, Matthias; Pecjak, Ben D.
- Journal of High Energy Physics, Vol. 2007, Issue 01
The three-loop splitting functions in QCD: the non-singlet case
journal, June 2004
- Moch, S.; Vermaseren, J. A. M.; Vogt, A.
- Nuclear Physics B, Vol. 688, Issue 1-2
Comparing and counting logs in direct and effective methods of QCD resummation
journal, April 2014
- Almeida, Leandro G.; Ellis, Stephen D.; Lee, Christopher
- Journal of High Energy Physics, Vol. 2014, Issue 4
Equality of hemisphere soft functions for , DIS and pp collisions at
journal, September 2015
- Kang, Daekyoung; Labun, Ou Z.; Lee, Christopher
- Physics Letters B, Vol. 748
Jets from massive unstable particles: Top-mass determination
journal, April 2008
- Fleming, Sean; Hoang, Andre H.; Mantry, Sonny
- Physical Review D, Vol. 77, Issue 7
Resummation and NLO matching of event shapes with effective field theory
journal, January 2008
- Schwartz, Matthew D.
- Physical Review D, Vol. 77, Issue 1
Threshold Resummation in Momentum Space from Effective Field Theory
journal, August 2006
- Becher, Thomas; Neubert, Matthias
- Physical Review Letters, Vol. 97, Issue 8
Treating the quark distribution function with reliable uncertainties
journal, December 2008
- Ligeti, Zoltan; Stewart, Iain W.; Tackmann, Frank J.
- Physical Review D, Vol. 78, Issue 11
The dipole formalism for the calculation of QCD jet cross sections at next-to-leading order
journal, June 1996
- Catani, S.; Seymour, M. H.
- Physics Letters B, Vol. 378, Issue 1-4
The gell-mann-low function of QCD in the three-loop approximation
journal, June 1980
- Tarasov, O. V.; Vladimirov, A. A.; Zharkov, A. Yu.
- Physics Letters B, Vol. 93, Issue 4
The three-loop QCD β-function and anomalous dimensions
journal, April 1993
- Larin, S. A.; Vermaseren, J. A. M.
- Physics Letters B, Vol. 303, Issue 3-4
Works referencing / citing this record:
Threshold and Jet Radius Joint Resummation for Single-Inclusive Jet Production
text, January 2017
- Liu, Xiaohui; Moch, Sven-Olaf; Ringer, Felix
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Threshold and jet radius joint resummation for single-inclusive jet production
text, January 2017
- Liu, Xiaohui; Moch, Sven-Olaf; Ringer, Felix
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Jet angularity measurements for single inclusive jet production
text, January 2018
- Kang, Zhong-Bo; Lee, Kyle; Ringer, Felix
- arXiv