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One-loop angularity distributions with recoil using Soft-Collinear Effective Theory

  • Ankita Budhraja
  • Ambar Jain
  • Massimiliano ProcuraEmail author
Open Access
Regular Article - Theoretical Physics
  • 81 Downloads

Abstract

Angularities are event shapes whose sensitivity to the splitting angle of a collinear emission is controlled by a continuous parameter b, with −1 < b < ∞. When measured with respect to the thrust axis, this class of QCD observables includes thrust (b = 1) and jet broadening (b = 0), the former being insensitive to the recoil of soft against collinear radiation, while the latter being maximally sensitive to it. Presently available analytic results for angularity distributions with b ≠ 0 can be applied only close to the thrust limit since recoil effects have so far been neglected. As a first step to establish a comprehensive theoretical framework based on Soft-Collinear Effective Theory valid for all recoil-sensitive angularities, we compute for the first time angularity distributions at one-loop order in αs for all values of b taking into account recoil effects. In the differential cross section, these amount to novel sub-leading singular contributions and/or power corrections, where the former are characterized by fractional powers of the angularity and contribute appreciably close to the peak region, also for b ≳ 0.5. Our calculations are checked against various limits known in the literature and agree with the numerical output of the Event2 generator.

Keywords

Jets NLO Computations 

Notes

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

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Ankita Budhraja
    • 1
  • Ambar Jain
    • 1
  • Massimiliano Procura
    • 2
    • 3
    Email author
  1. 1.Indian Institute of Science Education and ResearchBhopalIndia
  2. 2.Fakultät für PhysikUniversität WienWienAustria
  3. 3.Theoretical Physics DepartmentCERNGeneva 23Switzerland

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