Equality of hemisphere soft functions for e + e − , DIS and pp collisions at O ( α s 2 )

Kang, Daekyoung; Labun, Ou Z.; Lee, Christopher

doi:10.1016/j.physletb.2015.06.057

Title: Equality of hemisphere soft functions for $e^{+} e^{-}$ , DIS and pp collisions at $O (α_{s}^{2})$

Journal Article · Tue Sep 01 00:00:00 EDT 2015 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2015.06.057· OSTI ID:1213789

Kang, Daekyoung;

; Lee, Christopher

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(α_s²), 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.

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Research Organization:: Univ. of Arizona, Tucson, AZ (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396; 20130019DR; 20140671PRD2; FG02-04ER41338

OSTI ID:: 1213789

Alternate ID(s):: OSTI ID: 1215405; OSTI ID: 1221565

Report Number(s):: LA-UR-15-22720; S0370269315004797; PII: S0370269315004797

Journal Information:: Physics Letters B, Journal Name: Physics Letters B Vol. 748 Journal Issue: C; ISSN 0370-2693

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 26 works

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QCD
soft function
factorization
jets
deep inelastic scattering
Drell–Yan
Drell-Yan

Title: Equality of hemisphere soft functions for e + e − , DIS and pp collisions at O ( α s 2 )

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Title: Equality of hemisphere soft functions for $e^{+} e^{-}$ , DIS and pp collisions at $O (α_{s}^{2})$