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 (NLL′) 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.

Highlights

  • Iterated soft dropThis initial step exploits the collimated nature of jets, but is independent of further details of the jet measurement

  • In the past couple of years, precision calculations of jet substructure observables have become available, that allow for direct comparisons of theoretical calculations and data

  • We have studied the jet energy drop, which is the relative difference in jet energy of a groomed and ungroomed jet, and is a key observable for characterizing the impact of grooming on jets

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Summary

Iterated soft drop

This initial step exploits the collimated nature of jets, but is independent of further details of the jet measurement. It is the same for the jet energy drop calculation for all three grooming procedures discussed.

Jet production
The soft drop grooming algorithm and its variants
Fixed-order results
Factorization and resummation
Non-global logarithms
Profile functions and scale variations
Numerical results
Soft drop
Regime A
Regime B
Conditional probability
Trimming
Conclusions
Findings
A Anomalous dimensions
Full Text
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