Jet energy drop
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Springer
Received: August 12, Revised: September 24, Accepted: September 28, Published: November 5,
2020 2020 2020 2020
Jet energy drop
a
Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands b Nikhef, Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands c C.N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY 11794, U.S.A. d Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11794, U.S.A. e Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, U.S.A. f Physics Department, University of California, Berkeley, CA 94720, U.S.A.
E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We study the jet energy drop, which is the relative difference between the groomed and ungroomed jet energy or transverse momentum. It is one of the fundamental quantities that characterizes the impact of grooming on jets produced in high energy collisions. We consider three different grooming algorithms i) soft drop, ii) iterated soft drop, and iii) trimming. We carry out the resummation of large logarithms of the jet energy drop, the jet radius as well as relevant grooming parameters at next-to-leading logarithmic (NLL0 ) accuracy. In addition, we account for non-global and clustering logarithms, and determine the next-to-leading order corrections. For soft drop we perform a joint resummation of the jet energy drop and the groomed jet radius, which is necessary to achieve the correct all-order structure of the cross section, in particular for the Sudakov-safe case of soft drop with β = 0. We present numerical results for LHC energies and compare to Pythia simulations as well as CMS data. Our factorization framework predicts the onset of nonperturbative effects in the jet energy distribution, in line with what we find in Pythia. The jet energy drop observables stand out because they only probe soft radiation, making them ideal candidates for the tuning of parton shower Monte Carlo event generators and for probing medium effects in heavy-ion collisions. Keywords: Jets, QCD Phenomenology ArXiv ePrint: 2007.12187
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP11(2020)012
JHEP11(2020)012
Pedro Cal,a,b Kyle Lee,c,d,e Felix Ringere,f and Wouter J. Waalewijna,b
Contents 1 Introduction
1 3 4 6 7 9 13 15 16
3 Soft drop 3.1 Fixed-order results 3.2 Factorization and resummation 3.2.1 Regime A 3.2.2 Regime B 3.3 Conditional probability 3.4 β = 0 3.5 θg and nonperturbative effects 3.6 Profile functions and scale variations 3.7 Numerical results
19 20 21 21 24 26 27 28 29 31
4 Trimming 4.1 The trimming algorithm 4.2 Fixed-order results 4.3 Factorization and resummation 4.4 Numerical results
33 34 35 36 38
5 Conclusions
40
A Anomalous dimensions
41
1
Introduction
Jet substructure techniques have become an important part of measurements at high energ
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