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Title: The LPM effect in sequential bremsstrahlung: dimensional regularization

Abstract

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.

Authors:
 [1];  [1];  [2]
  1. Univ. of Virginia, Charlottesville, VA (United States). Dept. of Physics
  2. Quaid-i-Azam Univ., Islamabad (Pakistan). National Centre for Physics
Publication Date:
Research Org.:
Univ. of Virginia, Charlottesville, VA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1425938
Grant/Contract Number:  
SC0007984
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quark-Gluon Plasma; Perturbative QCD; Thermal Field Theory

Citation Formats

Arnold, Peter, Chang, Han-Chih, and Iqbal, Shahin. The LPM effect in sequential bremsstrahlung: dimensional regularization. United States: N. p., 2016. Web. doi:10.1007/JHEP10(2016)100.
Arnold, Peter, Chang, Han-Chih, & Iqbal, Shahin. The LPM effect in sequential bremsstrahlung: dimensional regularization. United States. doi:10.1007/JHEP10(2016)100.
Arnold, Peter, Chang, Han-Chih, and Iqbal, Shahin. Wed . "The LPM effect in sequential bremsstrahlung: dimensional regularization". United States. doi:10.1007/JHEP10(2016)100. https://www.osti.gov/servlets/purl/1425938.
@article{osti_1425938,
title = {The LPM effect in sequential bremsstrahlung: dimensional regularization},
author = {Arnold, Peter and Chang, Han-Chih and Iqbal, Shahin},
abstractNote = {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.},
doi = {10.1007/JHEP10(2016)100},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {2016},
month = {10}
}

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