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Title: Collinear factorization violation and effective field theory

Abstract

The factorization of amplitudes into hard, soft and collinear parts is known to be violated in situations where incoming particles are collinear to outgoing ones. This conclusion was first derived by studying limits where noncollinear particles become collinear. We demonstrate that through an effective field theory framework with Glauber operators, these factorization-violating effects can be reproduced from an amplitude that is factorized before the splitting occurs.We confirm results at one loop, through single Glauber exchange, and at two loops, through double Glauber exchange. To approach the calculation, we begin by reviewing the importance of Glauber scaling for factorization.We show that for any situation where initial-state and finalstate particles are not collinear, the Glauber contribution is entirely contained in the soft contribution. The contributions coming from Glauber operators are necessarily nonanalytic functions of external momentum, with the nonanalyticity arising from the rapidity regulator. The nonanalyticity is crucial so that Glauber operators can both preserve factorization when it holds and produce factorization-violating effects when they are present.

Authors:
 [1];  [1];  [2]
  1. Harvard Univ., Cambridge, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1505599
Alternate Identifier(s):
OSTI ID: 1389687
Grant/Contract Number:  
SC0011090; SC0013607
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Schwartz, Matthew D., Yan, Kai, and Zhu, Hua Xing. Collinear factorization violation and effective field theory. United States: N. p., 2017. Web. doi:10.1103/physrevd.96.056005.
Schwartz, Matthew D., Yan, Kai, & Zhu, Hua Xing. Collinear factorization violation and effective field theory. United States. doi:10.1103/physrevd.96.056005.
Schwartz, Matthew D., Yan, Kai, and Zhu, Hua Xing. Tue . "Collinear factorization violation and effective field theory". United States. doi:10.1103/physrevd.96.056005. https://www.osti.gov/servlets/purl/1505599.
@article{osti_1505599,
title = {Collinear factorization violation and effective field theory},
author = {Schwartz, Matthew D. and Yan, Kai and Zhu, Hua Xing},
abstractNote = {The factorization of amplitudes into hard, soft and collinear parts is known to be violated in situations where incoming particles are collinear to outgoing ones. This conclusion was first derived by studying limits where noncollinear particles become collinear. We demonstrate that through an effective field theory framework with Glauber operators, these factorization-violating effects can be reproduced from an amplitude that is factorized before the splitting occurs.We confirm results at one loop, through single Glauber exchange, and at two loops, through double Glauber exchange. To approach the calculation, we begin by reviewing the importance of Glauber scaling for factorization.We show that for any situation where initial-state and finalstate particles are not collinear, the Glauber contribution is entirely contained in the soft contribution. The contributions coming from Glauber operators are necessarily nonanalytic functions of external momentum, with the nonanalyticity arising from the rapidity regulator. The nonanalyticity is crucial so that Glauber operators can both preserve factorization when it holds and produce factorization-violating effects when they are present.},
doi = {10.1103/physrevd.96.056005},
journal = {Physical Review D},
number = 5,
volume = 96,
place = {United States},
year = {2017},
month = {9}
}

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Cited by: 6 works
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    Works referencing / citing this record:

    Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering
    journal, January 2017