Equality of hemisphere soft functions for , DIS and pp collisions at
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.
- 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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