Dissecting Soft Radiation with Factorization

Stewart, Iain W.; Tackmann, Frank J.; Waalewijn, Wouter J.

doi:10.1103/physrevlett.114.092001

Title: Dissecting Soft Radiation with Factorization

Journal Article · 04 March 2015 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.114.092001 · OSTI ID:1505723

Stewart, Iain W. ^[1]; Tackmann, Frank J. ^[2]; Waalewijn, Wouter J. ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany). Theory Group
Nikhef, Amsterdam (Netherlands). Theory Group; Univ. of Amsterdam (Netherlands). Inst. for Theoretical Physics Amsterdam (ITFA)

An essential part of high-energy hadronic collisions is the soft hadronic activity that underlies the primary hard interaction. It includes soft radiation from the primary hard partons, secondary multiple parton interactions (MPI), and factorization-violating effects. The invariant mass spectrum of the leading jet in $$Z+\mathrm{jet}$$ and $$H+\mathrm{jet}$$ events is directly sensitive to these effects, and we use here a QCD factorization theorem to predict its dependence on the jet radius $$R$$, jet $${p}_{T}$$, jet rapidity, and partonic process for both the perturbative and nonperturbative components of primary soft radiation. We prove that the nonperturbative contributions involve only odd powers of $$R$$, and the linear $$R$$ term is universal for quark and gluon jets. The hadronization model in Pythia8 agrees well with these properties. The perturbative soft initial state radiation (ISR) has a contribution that depends on the jet area in the same way as the underlying event, but this degeneracy is broken by dependence on the jet $${p}_{T}$$. The size of this soft ISR contribution is proportional to the color state of the initial partons, yielding the same positive contribution for $$gg{\rightarrow}Hg$$ and $$gq{\rightarrow}Zq$$, but a negative interference contribution for $$q\overline{q}{\rightarrow}Zg$$. Hence, measuring these dependencies allows one to separate hadronization, soft ISR, and MPI contributions in the data.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Nikhef, Amsterdam (Netherlands)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG); European Union (EU); USDOE

Grant/Contract Number:: SC0011090; TA 867/1-1; PIIF-GA-2012-328913

OSTI ID:: 1505723

Alternate ID(s):: OSTI ID: 1181456

Journal Information:: Physical Review Letters, Vol. 114, Issue 9; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (60)

Underlying event in hard interactions at the Fermilab Tevatron p ¯ p collider Acosta, D.; Affolder, T.; Albrow, M. G. Physical Review D, Vol. 70, Issue 7 https://doi.org/10.1103/PhysRevD.70.072002	journal	October 2004
General-purpose event generators for LHC physics Buckley, Andy; Butterworth, Jonathan; Gieseke, Stefan Physics Reports, Vol. 504, Issue 5 https://doi.org/10.1016/j.physrep.2011.03.005	journal	July 2011
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
The anti- k _t jet clustering algorithm Cacciari, Matteo; Salam, Gavin P.; Soyez, Gregory Journal of High Energy Physics, Vol. 2008, Issue 04 https://doi.org/10.1088/1126-6708/2008/04/063	journal	April 2008
Systematic event generator tuning for the LHC Buckley, Andy; Hoeth, Hendrik; Lacker, Heiko The European Physical Journal C, Vol. 65, Issue 1-2 https://doi.org/10.1140/epjc/s10052-009-1196-7	journal	November 2009
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
Power corrections to event shapes with mass-dependent operators Mateu, Vicent; Stewart, Iain W.; Thaler, Jesse Physical Review D, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevD.87.014025	journal	January 2013
Non-perturbative QCD effects in jets at hadron colliders Dasgupta, Mrinal; Magnea, Lorenzo; Salam, Gavin P. Journal of High Energy Physics, Vol. 2008, Issue 02 https://doi.org/10.1088/1126-6708/2008/02/055	journal	February 2008
Measurement of the underlying event activity at the LHC with $ \sqrt {s} = 7 $ TeV and comparison with $ \sqrt {s} = 0.9 $ TeV Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M. Journal of High Energy Physics, Vol. 2011, Issue 9 https://doi.org/10.1007/JHEP09(2011)109	journal	September 2011
A brief introduction to PYTHIA 8.1 Sjöstrand, Torbjörn; Mrenna, Stephen; Skands, Peter Computer Physics Communications, Vol. 178, Issue 11 https://doi.org/10.1016/j.cpc.2008.01.036	journal	June 2008
Using 1-jettiness to measure 2 jets in DIS 3 ways Kang, Daekyoung; Lee, Christopher; Stewart, Iain W. Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.054004	journal	September 2013
Measurement of the underlying event in the Drell–Yan process in proton–proton collisions at $\sqrt{s} = 7~\mbox{TeV}$ Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M. The European Physical Journal C, Vol. 72, Issue 9 https://doi.org/10.1140/epjc/s10052-012-2080-4	journal	September 2012
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 mass and substructure of inclusive jets in $ \sqrt {s} = 7\;{\text{TeV}} $ pp collisions with the ATLAS experiment Aad, G.; Abbott, B.; Abdallah, J. Journal of High Energy Physics, Vol. 2012, Issue 5 https://doi.org/10.1007/JHEP05(2012)128	journal	May 2012
PYTHIA 6.4 physics and manual Sjöstrand, Torbjörn; Mrenna, Stephen; Skands, Peter Journal of High Energy Physics, Vol. 2006, Issue 05 https://doi.org/10.1088/1126-6708/2006/05/026	journal	May 2006
Measurement of underlying event characteristics using charged particles in p p collisions at s = 900 GeV and 7 TeV with the ATLAS detector Aad, G.; Abbott, B.; Abdallah, J. Physical Review D, Vol. 83, Issue 11 https://doi.org/10.1103/PhysRevD.83.112001	journal	May 2011
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
Glauber gluons and multiple parton interactions Gaunt, Jonathan R. Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)110	journal	July 2014
FastJet user manual: (for version 3.0.2) Cacciari, Matteo; Salam, Gavin P.; Soyez, Gregory The European Physical Journal C, Vol. 72, Issue 3 https://doi.org/10.1140/epjc/s10052-012-1896-2	journal	March 2012
Constraining MPI models using σ eff and recent Tevatron and LHC Underlying Event data Seymour, M. H.; Siódmok, A. Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)113	journal	October 2013
On the characterisation of the underlying event Cacciari, Matteo; Salam, Gavin P.; Sapeta, Sebastian Journal of High Energy Physics, Vol. 2010, Issue 4 https://doi.org/10.1007/JHEP04(2010)065	journal	April 2010
Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order Jouttenus, Teppo T.; Stewart, Iain W.; Tackmann, Frank J. Physical Review D, Vol. 88, Issue 5 https://doi.org/10.1103/PhysRevD.88.054031	journal	September 2013
On the breaking of collinear factorization in QCD Forshaw, Jeffrey R.; Seymour, Michael H.; Siódmok, Andrzej Journal of High Energy Physics, Vol. 2012, Issue 11 https://doi.org/10.1007/JHEP11(2012)066	journal	November 2012
On jet mass distributions in Z+jet and dijet processes at the LHC Dasgupta, Mrinal; Khelifa-Kerfa, Kamel; Marzani, Simone Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)126	journal	October 2012
Designing gapped soft functions for jet production Hoang, Andre H.; Stewart, Iain W. Physics Letters B, Vol. 660, Issue 5 https://doi.org/10.1016/j.physletb.2008.01.040	journal	March 2008
Studying the underlying event in Drell-Yan and high transverse momentum jet production at the Tevatron Aaltonen, T.; Adelman, J.; Álvarez González, B. Physical Review D, Vol. 82, Issue 3 https://doi.org/10.1103/PhysRevD.82.034001	journal	August 2010
Measurements of underlying-event properties using neutral and charged particles in pp collisions at $\sqrt{s}=900$ GeV and $\sqrt{s}=7$ TeV with the ATLAS detector at the LHC Aad, G.; Abbott, B.; Abdallah, J. The European Physical Journal C, Vol. 71, Issue 5 https://doi.org/10.1140/epjc/s10052-011-1636-z	journal	May 2011
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
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
Resummation of jet mass at hadron colliders Chien, Yang-Ting; Kelley, Randall; Schwartz, Matthew D. Physical Review D, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevD.87.014010	journal	January 2013
Tuning Monte Carlo generators: The Perugia tunes Skands, Peter Z. Physical Review D, Vol. 82, Issue 7 https://doi.org/10.1103/PhysRevD.82.074018	journal	October 2010
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
Studies of jet mass in dijet and W/Z + jet events Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M. Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)090	journal	May 2013
Herwig++ physics and manual Bähr, Manuel; Gieseke, Stefan; Gigg, Martyn A. The European Physical Journal C, Vol. 58, Issue 4 https://doi.org/10.1140/epjc/s10052-008-0798-9	journal	November 2008
Reparametrization invariant collinear operators Marcantonini, Claudio; Stewart, Iain W. Physical Review D, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevD.79.065028	journal	March 2009
Treating the b quark distribution function with reliable uncertainties Ligeti, Zoltan; Stewart, Iain W.; Tackmann, Frank J. Physical Review D, Vol. 78, Issue 11 https://doi.org/10.1103/PhysRevD.78.114014	journal	December 2008
Charged jet evolution and the underlying event in proton-antiproton collisions at 1.8 TeV Affolder, T.; Akimoto, H.; Akopian, A. Physical Review D, Vol. 65, Issue 9 https://doi.org/10.1103/PhysRevD.65.092002	journal	April 2002
Colour reconnections in Herwig++ Gieseke, Stefan; Röhr, Christian; Siódmok, Andrzej The European Physical Journal C, Vol. 72, Issue 11 https://doi.org/10.1140/epjc/s10052-012-2225-5	journal	November 2012
Soft function for exclusive N -jet production at hadron colliders Jouttenus, Teppo T.; Stewart, Iain W.; Tackmann, Frank J. Physical Review D, Vol. 83, Issue 11 https://doi.org/10.1103/PhysRevD.83.114030	journal	June 2011
Measurement of the underlying event activity at the LHC with $\sqrt{s}\ =$ 7 TeV and comparison with $\sqrt{s}\ =$ 0.9 TeV Chatrchyan, Serguei; Khachatryan, Vardan; Sirunyan, Albert M. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/phppubdb-20843	text	January 2011
Glauber gluons and multiple parton interactions Gaunt, Jonathan R. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2014-04095	text	January 2014
Using 1-Jettiness to Measure 2 Jets in DIS 3 ways Kang, Daekyoung; Lee, Christopher; Stewart, Iain W. Proceedings of XXI International Workshop on Deep-Inelastic Scattering and Related Subjects — PoS(DIS 2013) https://doi.org/10.22323/1.191.0158	conference	December 2013
Jet mass spectra in Higgs boson plus one jet at next-to-next-to-leading logarithmic order Jouttenus, Teppo T.; Stewart, Iain W.; Tackmann, Frank J. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/desy-2013-01006	text	January 2013
Studies of jet mass in dijet and W/Z + jet events Collaboration, Cms; Chatrchyan, Serguei; Bachmair, Felix ETH Zurich https://doi.org/10.3929/ethz-b-000074502	text	January 2013
Measurement of the Underlying Event Activity at the LHC with √s = 7 TeV and Comparison with √s = 0.9 TeV Collaboration, Cms; Amsler, C.; Chiochia, V. Springer https://doi.org/10.5167/uzh-59457	text	January 2011
Measurement of the underlying event activity at the LHC with √s=7 TeV and comparison with √s=0.9 TeV Collaboration, Cms; Vardan, Khachatryan,; L., Bäni, ETH Zurich https://doi.org/10.3929/ethz-b-000041100	text	January 2011
The anti-k_t jet clustering algorithm Cacciari, Matteo; Salam, Gavin P.; Soyez, Gregory arXiv https://doi.org/10.48550/arxiv.0802.1189	text	January 2008
Herwig++ Physics and Manual Bahr, M.; Gieseke, S.; Gigg, M. A. arXiv https://doi.org/10.48550/arxiv.0803.0883	text	January 2008
Treating the b quark distribution function with reliable uncertainties Ligeti, Zoltan; Stewart, Iain W.; Tackmann, Frank J. arXiv https://doi.org/10.48550/arxiv.0807.1926	text	January 2008
Systematic event generator tuning for the LHC Buckley, Andy; Hoeth, Hendrik; Lacker, Heiko arXiv https://doi.org/10.48550/arxiv.0907.2973	text	January 2009
Studying the Underlying Event in Drell-Yan and High Transverse Momentum Jet Production at the Tevatron Collaboration, The CDF; Aaltonen, T.; Adelman, J. arXiv https://doi.org/10.48550/arxiv.1003.3146	text	January 2010
The Soft Function for Exclusive N-Jet Production at Hadron Colliders Jouttenus, Teppo T.; Stewart, Iain W.; Tackmann, Frank J. arXiv https://doi.org/10.48550/arxiv.1102.4344	text	January 2011
Measurements of underlying-event properties using neutral and charged particles in pp collisions at 900 GeV and 7 TeV with the ATLAS detector at the LHC Collaboration, The ATLAS arXiv https://doi.org/10.48550/arxiv.1103.1816	text	January 2011
Resummation of Jet Mass at Hadron Colliders Chien, Yang-Ting; Kelley, Randall; Schwartz, Matthew D. arXiv https://doi.org/10.48550/arxiv.1208.0010	text	January 2012
Power Corrections to Event Shapes with Mass-Dependent Operators Mateu, Vicent; Stewart, Iain W.; Thaler, Jesse arXiv https://doi.org/10.48550/arxiv.1209.3781	text	January 2012
Studies of jet mass in dijet and W/Z + jet events Collaboration, Cms arXiv https://doi.org/10.48550/arxiv.1303.4811	text	January 2013
Momentum Flow Correlations from Event Shapes: Factorized Soft Gluons and Soft-Collinear Effective Theory Lee, Christopher; Sterman, George arXiv https://doi.org/10.48550/arxiv.hep-ph/0611061	text	January 2006
Jets and Quantum Field Theory Sveshnikov, N. A.; Tkachov, F. V. arXiv https://doi.org/10.48550/arxiv.hep-ph/9512370	text	January 1995
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
Cabala ChymicaorChemia Cabalistica—Early Modern Alchemists and Cabala Forshaw, Peter J. Ambix, Vol. 60, Issue 4 https://doi.org/10.1179/0002698013z.00000000039	journal	November 2013

Cited By (14)

A case study of quark-gluon discrimination at NNLL $$'$$ ′ in comparison to parton showers Mo, Jonathan; Tackmann, Frank J.; Waalewijn, Wouter J. The European Physical Journal C, Vol. 77, Issue 11 https://doi.org/10.1140/epjc/s10052-017-5365-9	journal	November 2017
Factorization for jet radius logarithms in jet mass spectra at the LHC Kolodrubetz, Daniel W.; Pietrulewicz, Piotr; Stewart, Iain W. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2016-06546	text	January 2016
Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders Bertolini, Daniele; Kolodrubetz, Daniel; Neill, Duff Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-10804	text	January 2017
A case study of quark-gluon discrimination at NNLL' in comparison to parton showers Mo, Jonathan; Tackmann, Frank J.; Waalewijn, Wouter J. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-10336	text	January 2017
Soft functions for generic jet algorithms and observables at hadron colliders Bertolini, Daniele; Kolodrubetz, Daniel; Neill, Duff Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-12467	text	January 2017
A Case Study of Quark-Gluon Discrimination at NNLL$'$ in Comparison to Parton Showers Mo, Jonathan; Tackmann, Frank J.; Waalewijn, Wouter J. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-12772	text	January 2017
Jet Substructure Classification in High-Energy Physics with Deep Neural Networks Baldi, Pierre; Bauer, Kevin; Eng, Clara arXiv https://doi.org/10.48550/arxiv.1603.09349	text	January 2016
Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC Kolodrubetz, Daniel W.; Pietrulewicz, Piotr; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.1605.08038	text	January 2016
Systematics of quark/gluon tagging Gras, Philippe; Höche, Stefan; Kar, Deepak arXiv https://doi.org/10.48550/arxiv.1704.03878	text	January 2017
Soft Functions for Generic Jet Algorithms and Observables at Hadron Colliders Bertolini, Daniele; Kolodrubetz, Daniel; Neill, Duff arXiv https://doi.org/10.48550/arxiv.1704.08262	text	January 2017
Convolved Substructure: Analytically Decorrelating Jet Substructure Observables Moult, Ian; Nachman, Benjamin; Neill, Duff arXiv https://doi.org/10.48550/arxiv.1710.06859	text	January 2017
Investigating the Topology Dependence of Quark and Gluon Jets Bright-Thonney, Samuel; Nachman, Benjamin arXiv https://doi.org/10.48550/arxiv.1810.05653	text	January 2018
Effective Field Theories for the LHC Moult, Ian arXiv https://doi.org/10.48550/arxiv.1605.00573	preprint	January 2016
Factorization for Jet Radius Logarithms in Jet Mass Spectra at the LHC Kolodrubetz, Daniel W.; Pietrulewicz, Piotr; Stewart, Iain W. arXiv https://doi.org/10.48550/arxiv.1605.08038	text	January 2016