The LPM effect in sequential bremsstrahlung: dimensional regularization

Arnold, Peter; Chang, Han-Chih; Iqbal, Shahin

doi:10.1007/JHEP10(2016)100

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:

Arnold, Peter ^[1]; Chang, Han-Chih ^[1]; Iqbal, Shahin ^[2]

Univ. of Virginia, Charlottesville, VA (United States). Dept. of Physics
Quaid-i-Azam Univ., Islamabad (Pakistan). National Centre for Physics

Publication Date:: Wed Oct 19 00:00:00 EDT 2016

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.

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                    Arnold, Peter, Chang, Han-Chih, & Iqbal, Shahin. The LPM effect in sequential bremsstrahlung: dimensional regularization.  United States.  https://doi.org/10.1007/JHEP10(2016)100

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                    Arnold, Peter, Chang, Han-Chih, and Iqbal, Shahin. Wed .  
"The LPM effect in sequential bremsstrahlung: dimensional regularization".  United States.  https://doi.org/10.1007/JHEP10(2016)100.  https://www.osti.gov/servlets/purl/1425938.

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@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         = {Wed Oct 19 00:00:00 EDT 2016},

  month        = {Wed Oct 19 00:00:00 EDT 2016}

}

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https://doi.org/10.1007/JHEP10(2016)100

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Cited by: 16 works

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Works referenced in this record:

Bremsstrahlung and Pair Production in Condensed Media at High Energies
journal, September 1956

Migdal, A. B.
Physical Review, Vol. 103, Issue 6
DOI: 10.1103/PhysRev.103.1811

The LPM effect in sequential bremsstrahlung 2: factorization
journal, September 2016

Arnold, Peter; Chang, Han-Chih; Iqbal, Shahin
Journal of High Energy Physics, Vol. 2016, Issue 9
DOI: 10.1007/JHEP09(2016)078

Fully quantum treatment of the Landau-Pomeranchik-Migdal effect in QED and QCD
journal, June 1996

Zakharov, B. G.
Journal of Experimental and Theoretical Physics Letters, Vol. 63, Issue 12
DOI: 10.1134/1.567126

Radiative energy loss of high-energy quarks in finite-size nuclear matter and quark-gluon plasma
journal, April 1997

Zakharov, B. G.
Journal of Experimental and Theoretical Physics Letters, Vol. 65, Issue 8
DOI: 10.1134/1.567389

The LPM effect in sequential bremsstrahlung
journal, April 2015

Arnold, Peter; Iqbal, Shahin
Journal of High Energy Physics, Vol. 2015, Issue 4
DOI: 10.1007/JHEP04(2015)070

Works referencing / citing this record:

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

Plastino, A.; Rocca, M. C.
Journal of Physics Communications, Vol. 2, Issue 11
DOI: 10.1088/2399-6528/aaf186

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Title: The LPM effect in sequential bremsstrahlung: dimensional regularization

Abstract

Citation Formats

Bremsstrahlung and Pair Production in Condensed Media at High Energies journal, September 1956

The LPM effect in sequential bremsstrahlung 2: factorization journal, September 2016

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

The LPM effect in sequential bremsstrahlung journal, April 2015

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

Bremsstrahlung and Pair Production in Condensed Media at High Energies
journal, September 1956

The LPM effect in sequential bremsstrahlung 2: factorization
journal, September 2016

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

The LPM effect in sequential bremsstrahlung
journal, April 2015

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