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Title: Equality of hemisphere soft functions for e+e-, DIS and pp collisions at O(αs2)

We present a simple observation about soft amplitudes and soft functions appearing in factorizable cross sections in ee, ep, and pp collisions that has not clearly been made in previous literature, namely, that the hemisphere soft functions that appear in event shape distributions in e+e- → dijets, deep inelastic scattering (DIS), and in Drell–Yan (DY) processes are equal in perturbation theory up to O(αs2), even though individual amplitudes may have opposite sign imaginary parts due to changing complex pole prescriptions in eikonal propagators for incoming vs. outgoing lines. We also explore potential generalizations of this observation to soft functions for other observables or with more jets in the final state.
Authors:
 [1] ; ORCiD logo [2] ;  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of Arizona, Tucson, AZ (United States); Univ. Paris-Sud, Orsay (France)
Publication Date:
OSTI Identifier:
1213789
Report Number(s):
LA-UR-15-22720
Journal ID: ISSN 0370-2693; PII: S0370269315004797
Grant/Contract Number:
FG02-04ER41338; AC52-06NA25396; 20130019DR; 20140671PRD2
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 748; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Univ. of Arizona, Tucson, AZ (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD; soft function; factorization; jets; deep inelastic scattering; Drell–Yan; Drell-Yan