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The LPM effect in sequential bremsstrahlung: dimensional regularization

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3]
  1. Univ. of Virginia, Charlottesville, VA (United States). Dept. of Physics; University of Virginia, Charlottesville, VA
  2. Univ. of Virginia, Charlottesville, VA (United States). Dept. of Physics
  3. Quaid-i-Azam Univ., Islamabad (Pakistan). National Centre for Physics
+ Show Author Affiliations
The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. Of recent interest is the case when the coherence lengths of two consecutive splitting processes overlap (which is important for understanding corrections to standard treatments of the LPM effect in QCD). In previous papers, we have developed methods for computing such corrections without making soft-gluon approximations. However, our methods require consistent treatment of canceling ultraviolet (UV) divergences associated with coincident emission times, even for processes with tree-level amplitudes. In this paper, we show how to use dimensional regularization to properly handle the UV contributions. We also present a simple diagnostic test that any consistent UV regularization method for this problem needs to pass.
Research Organization:
Univ. of Virginia, Charlottesville, VA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0007984
OSTI ID:
1425938
Alternate ID(s):
OSTI ID: 22610559
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2016; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (5)

The LPM effect in sequential bremsstrahlung journal April 2015
The LPM effect in sequential bremsstrahlung 2: factorization journal September 2016
Bremsstrahlung and Pair Production in Condensed Media at High Energies journal September 1956
Fully quantum treatment of the Landau-Pomeranchik-Migdal effect in QED and QCD journal June 1996
Radiative energy loss of high-energy quarks in finite-size nuclear matter and quark-gluon plasma journal April 1997

Cited By (1)

Quantum field theory, Feynman-, Wheeler propagators, dimensional regularization in configuration space and convolution of Lorentz Invariant Tempered Distributions journal November 2018

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Perturbative QCD
Quark-Gluon Plasma
Thermal Field Theory