Collinear factorization violation and effective field theory
Name
PhysRevD.96.056005.pdf
Size
1.81 MB
Format
Adobe PDF
Checksum (MD5)
9693805d7fe77f1fecaf4888bf0af082
Author(s)
Schwartz, Matthew D.
Yan, Kai
Zhu, HuaXing
Date Issued
September 2017
Journal
Physical Review D
Publisher
American Physical Society
Citation
Schwartz, Matthew D. et al. "Collinear factorization violation and effective field theory." Physical Review D 96, 5: 056005 © 2017 American Physical Society
Version
Final published version
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 result was first derived by studying limits where noncollinear particles become collinear. We show 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 final-state 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 critical so that Glauber operators can both preserve factorization when it holds and produce factorization-violating effects when they are present.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.96.056005
