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Title: Factorization and resummation for groomed multi-prong jet shapes

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]; ORCiD logo [3]
  1. Reed College, Portland, OR (United States). Physics Dept.
  2. Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Observables which distinguish boosted topologies from QCD jets are playing an increasingly important role at the Large Hadron Collider (LHC). These observables are often used in conjunction with jet grooming algorithms, which reduce contamination from both theoretical and experimental sources. In this paper we derive factorization formulae for groomed multi-prong substructure observables, focusing in particular on the groomed D2 observable, which is used to identify boosted hadronic decays of electroweak bosons at the LHC. Our factorization formulae allow systematically improvable calculations of the perturbative D2 distribution and the resummation of logarithmically enhanced terms in all regions of phase space using renormalization group evolution. They include a novel factorization for the production of a soft subjet in the presence of a grooming algorithm, in which clustering effects enter directly into the hard matching. We use these factorization formulae to draw robust conclusions of experimental relevance regarding the universality of the D2 distribution in both e+e- and pp collisions. In particular, we show that the only process dependence is carried by the relative quark vs. gluon jet fraction in the sample, no non-global logarithms from event-wide correlations are present in the distribution, hadronization corrections are controlled by the perturbative mass of the jet, and all global color correlations are completely removed by grooming, making groomed D2 a theoretically clean QCD observable even in the LHC environment. Lastly, we compute all ingredients to one-loop accuracy, and present numerical results at next-to-leading logarithmic accuracy for e+e- collisions, comparing with parton shower Monte Carlo simulations. Results for pp collisions, as relevant for phenomenology at the LHC, are presented in a companion paper.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1463551
Alternate ID(s):
OSTI ID: 22739151; OSTI ID: 1485079
Report Number(s):
LA-UR--17-29531
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2018; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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New insights on an old problem: resummation of the D-parameter journal February 2019
The groomed and ungroomed jet mass distribution for inclusive jet production at the LHC journal October 2018
New Insights on an Old Problem: Resummation of the D-parameter text January 2018
Convolved Substructure: Analytically Decorrelating Jet Substructure Observables text January 2017
Energy flow polynomials: A complete linear basis for jet substructure text January 2017
Nonperturbative corrections to soft drop jet mass journal December 2019
Subleading power factorization with radiative functions journal November 2019
The Lund jet plane journal December 2018
Boosting H → b b ¯ $$ H\to b\overline{b} $$ with machine learning journal October 2018
Convolved substructure: analytically decorrelating jet substructure observables journal May 2018
Nonperturbative Corrections to Soft Drop Jet Mass text January 2019
Soft-Drop Thrust text January 2018
Resummed photon spectra for WIMP annihilation journal March 2018
QCD Beyond Leading Power preprint January 2020
Resummed Photon Spectra for WIMP Annihilation text January 2017
Energy flow polynomials: a complete linear basis for jet substructure journal April 2018