Abstract
In this paper we study the transverse energy spectrum for the Drell-Yan process. The transverse energy is measured within the central region defined by a (pseudo-) rapidity cutoff. Soft-collinear effective theory (SCET) is used to factorize the cross section and resum large logarithms of the rapidity cutoff and ratios of widely separated scales that appear in the fixed order result. We develop a framework which can smoothly interpolate between various regions of the spectrum and eventually match onto the fixed order result. This way a reliable calculation is obtained for the contribution of the initial state radiation to the measurement. By comparing our result for Drell-Yan against Pythia we obtain a simple model that describes the contribution from multiparton interactions (MPI). A model with little or no dependence on the primary process gives results in agreement with the simulation. Based on this observation we propose MPI insensitive measurements. These observables are insensitive to the MPI contributions as implemented in Pythia and we compare against the purely perturbative result obtained with the standard collinear factorization.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
CMS collaboration, Measurement of the underlying event using the Drell-Yan process in proton-proton collisions at \( \sqrt{s}=13 \) TeV, CMS-PAS-FSQ-16-008 (2016).
CMS collaboration, Measurement of the underlying event in the Drell-Yan process in proton-proton collisions at \( \sqrt{s}=7 \) TeV, Eur. Phys. J. C 72 (2012) 2080 [arXiv:1204.1411] [INSPIRE].
ATLAS collaboration, Measurement of event-shape observables in Z → ℓ + ℓ − events in pp collisions at \( \sqrt{s}=7 \) TeV with the ATLAS detector at the LHC, Eur. Phys. J. C 76 (2016) 375 [arXiv:1602.08980] [INSPIRE].
ATLAS collaboration, Measurement of charged-particle distributions sensitive to the underlying event in \( \sqrt{s}=13 \) TeV proton-proton collisions with the ATLAS detector at the LHC, JHEP 03 (2017) 157 [arXiv:1701.05390] [INSPIRE].
ATLAS collaboration, Measurement of the underlying event in jet events from 7 TeV proton-proton collisions with the ATLAS detector, Eur. Phys. J. C 74 (2014) 2965 [arXiv:1406.0392] [INSPIRE].
I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, Factorization at the LHC: From PDFs to Initial State Jets, Phys. Rev. D 81 (2010) 094035 [arXiv:0910.0467] [INSPIRE].
I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, The Beam Thrust Cross Section for Drell-Yan at NNLL Order, Phys. Rev. Lett. 106 (2011) 032001 [arXiv:1005.4060] [INSPIRE].
C.F. Berger, C. Marcantonini, I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, Higgs Production with a Central Jet Veto at NNLL+NNLO, JHEP 04 (2011) 092 [arXiv:1012.4480] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, Phenomenology of event shapes at hadron colliders, JHEP 06 (2010) 038 [arXiv:1001.4082] [INSPIRE].
I.Z. Rothstein and I.W. Stewart, An Effective Field Theory for Forward Scattering and Factorization Violation, JHEP 08 (2016) 025 [arXiv:1601.04695] [INSPIRE].
J.R. Gaunt, Glauber Gluons and Multiple Parton Interactions, JHEP 07 (2014) 110 [arXiv:1405.2080] [INSPIRE].
M. Zeng, Drell-Yan process with jet vetoes: breaking of generalized factorization, JHEP 10 (2015) 189 [arXiv:1507.01652] [INSPIRE].
A. Papaefstathiou, J.M. Smillie and B.R. Webber, Resummation of transverse energy in vector boson and Higgs boson production at hadron colliders, JHEP 04 (2010) 084 [arXiv:1002.4375] [INSPIRE].
M. Grazzini, A. Papaefstathiou, J.M. Smillie and B.R. Webber, Resummation of the transverse-energy distribution in Higgs boson production at the Large Hadron Collider, JHEP 09 (2014) 056 [arXiv:1403.3394] [INSPIRE].
A. Hornig, D. Kang, Y. Makris and T. Mehen, Transverse Vetoes with Rapidity Cutoff in SCET, JHEP 12 (2017) 043 [arXiv:1708.08467] [INSPIRE].
C.W. Bauer, S. Fleming and M.E. Luke, Summing Sudakov logarithms in B → X s γ in effective field theory, Phys. Rev. D 63 (2000) 014006 [hep-ph/0005275] [INSPIRE].
C.W. Bauer, S. Fleming, D. Pirjol and I.W. Stewart, An Effective field theory for collinear and soft gluons: Heavy to light decays, Phys. Rev. D 63 (2001) 114020 [hep-ph/0011336] [INSPIRE].
C.W. Bauer and I.W. Stewart, Invariant operators in collinear effective theory, Phys. Lett. B 516 (2001) 134 [hep-ph/0107001] [INSPIRE].
C.W. Bauer, D. Pirjol and I.W. Stewart, Soft collinear factorization in effective field theory, Phys. Rev. D 65 (2002) 054022 [hep-ph/0109045] [INSPIRE].
F.J. Tackmann, J.R. Walsh and S. Zuberi, Resummation Properties of Jet Vetoes at the LHC, Phys. Rev. D 86 (2012) 053011 [arXiv:1206.4312] [INSPIRE].
I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, The Quark Beam Function at NNLL, JHEP 09 (2010) 005 [arXiv:1002.2213] [INSPIRE].
S. Fleming, A.K. Leibovich and T. Mehen, Resummation of Large Endpoint Corrections to Color-Octet J/ψ Photoproduction, Phys. Rev. D 74 (2006) 114004 [hep-ph/0607121] [INSPIRE].
J.-Y. Chiu, A. Jain, D. Neill and I.Z. Rothstein, A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory, JHEP 05 (2012) 084 [arXiv:1202.0814] [INSPIRE].
J.-y. Chiu, A. Jain, D. Neill and I.Z. Rothstein, The Rapidity Renormalization Group, Phys. Rev. Lett. 108 (2012) 151601 [arXiv:1104.0881] [INSPIRE].
Y.-T. Chien, A. Hornig and C. Lee, Soft-collinear mode for jet cross sections in soft collinear effective theory, Phys. Rev. D 93 (2016) 014033 [arXiv:1509.04287] [INSPIRE].
C.W. Bauer, F.J. Tackmann, J.R. Walsh and S. Zuberi, Factorization and Resummation for Dijet Invariant Mass Spectra, Phys. Rev. D 85 (2012) 074006 [arXiv:1106.6047] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 Physics and Manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, A Brief Introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852 [arXiv:0710.3820] [INSPIRE].
G.P. Korchemsky and S. Tafat, On power corrections to the event shape distributions in QCD, JHEP 10 (2000) 010 [hep-ph/0007005] [INSPIRE].
C.W. Bauer, A.V. Manohar and M.B. Wise, Enhanced nonperturbative effects in jet distributions, Phys. Rev. Lett. 91 (2003) 122001 [hep-ph/0212255] [INSPIRE].
C. Lee and G.F. Sterman, Universality of nonperturbative effects in event shapes, eConf C 0601121 (2006) A001 [hep-ph/0603066] [INSPIRE].
C. Lee, Universal nonperturbative effects in event shapes from soft-collinear effective theory, Mod. Phys. Lett. A 22 (2007) 835 [hep-ph/0703030] [INSPIRE].
A. Hornig, C. Lee and G. Ovanesyan, Effective Predictions of Event Shapes: Factorized, Resummed and Gapped Angularity Distributions, JHEP 05 (2009) 122 [arXiv:0901.3780] [INSPIRE].
Z.-B. Kang, X. Liu and S. Mantry, 1-jettiness DIS event shape: NNLL+NLO results, Phys. Rev. D 90 (2014) 014041 [arXiv:1312.0301] [INSPIRE].
Z.-B. Kang, K. Lee and F. Ringer, Jet angularity measurements for single inclusive jet production, JHEP 04 (2018) 110 [arXiv:1801.00790] [INSPIRE].
I. Moult, B. Nachman and D. Neill, Convolved Substructure: Analytically Decorrelating Jet Substructure Observables, JHEP 05 (2018) 002 [arXiv:1710.06859] [INSPIRE].
I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, Dissecting Soft Radiation with Factorization, Phys. Rev. Lett. 114 (2015) 092001 [arXiv:1405.6722] [INSPIRE].
T. Becher and G. Bell, Enhanced nonperturbative effects through the collinear anomaly, Phys. Rev. Lett. 112 (2014) 182002 [arXiv:1312.5327] [INSPIRE].
A.H. Hoang, S. Mantry, A. Pathak and I.W. Stewart, Extracting a Short Distance Top Mass with Light Grooming, arXiv:1708.02586 [INSPIRE].
Z.-B. Kang, K. Lee, X. Liu and F. Ringer, The groomed and ungroomed jet mass distribution for inclusive jet production at the LHC, arXiv:1803.03645 [INSPIRE].
M. Bahr et al., HERWIG++ Physics and Manual, Eur. Phys. J. C 58 (2008) 639 [arXiv:0803.0883] [INSPIRE].
M. Ritzmann and W.J. Waalewijn, Fragmentation in Jets at NNLO, Phys. Rev. D 90 (2014) 054029 [arXiv:1407.3272] [INSPIRE].
G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language, Nucl. Phys. B 126 (1977) 298 [INSPIRE].
D.J. Gross and F. Wilczek, Asymptotically free gauge theories. ii, Phys. Rev. D 9 (1974) 980.
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1803.04413
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Kang, D., Makris, Y. & Mehen, T. From underlying event sensitive to insensitive: factorization and resummation. J. High Energ. Phys. 2018, 55 (2018). https://doi.org/10.1007/JHEP09(2018)055
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2018)055