The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms

Arnold, Peter; Gorda, Tyler; Iqbal, Shahin

doi:10.1007/JHEP04(2022)085

Title: The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms

Abstract

Consider the in-medium splitting g → gg of a very high-energy gluon traversing a QCD medium, accounting for the Landau-Pomeranchuk-Migdal (LPM) effect. It has been known for some time that soft radiative corrections to that splitting generate a double-log correction to the splitting rate, whose effects can be absorbed into running of the medium parameter $$\hat{q}$$ describing the rate of transverse momentum kicks to high-energy particles due to small-angle scattering from the medium. Less has been known about sub-leading, single logarithms in this context. In this paper, we find analytic formulas for those single logs (with various caveats and clarifications).

Authors:

^[1];

^[2];

^[3]

Univ. of Virginia, Charlottesville, VA (United States)
Technical Univ. of Darmstadt (Germany); Helmholtz Research Academy for FAIR, Darmstadt (Germany)
Quaid-i-Azam Univ., Islamabad (Pakistan); China Central Normal Univ., Wuhan (China)

Publication Date:: Thu Apr 14 00:00:00 EDT 2022

Research Org.:: Univ. of Virginia, Charlottesville, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1864672

Grant/Contract Number:: SC0007974

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: 2022; Journal Issue: 04; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Perturbative QCD; Quark-Gluon Plasma

Citation Formats


                    Arnold, Peter, Gorda, Tyler, and Iqbal, Shahin. The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms.  United States: N. p., 2022. 
Web.  doi:10.1007/JHEP04(2022)085.

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                    Arnold, Peter, Gorda, Tyler, & Iqbal, Shahin. The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms.  United States.  https://doi.org/10.1007/JHEP04(2022)085

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                    Arnold, Peter, Gorda, Tyler, and Iqbal, Shahin. Thu .  
"The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms".  United States.  https://doi.org/10.1007/JHEP04(2022)085.  https://www.osti.gov/servlets/purl/1864672.

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@article{osti_1864672,

  title        = {The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms},

  author       = {Arnold, Peter and Gorda, Tyler and Iqbal, Shahin},

  abstractNote = {Consider the in-medium splitting g → gg of a very high-energy gluon traversing a QCD medium, accounting for the Landau-Pomeranchuk-Migdal (LPM) effect. It has been known for some time that soft radiative corrections to that splitting generate a double-log correction to the splitting rate, whose effects can be absorbed into running of the medium parameter $\hat{q}$ describing the rate of transverse momentum kicks to high-energy particles due to small-angle scattering from the medium. Less has been known about sub-leading, single logarithms in this context. In this paper, we find analytic formulas for those single logs (with various caveats and clarifications).},

  doi          = {10.1007/JHEP04(2022)085},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 04,

  volume       = 2022,

  place        = {United States},

  year         = {Thu Apr 14 00:00:00 EDT 2022},

  month        = {Thu Apr 14 00:00:00 EDT 2022}

}

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Works referenced in this record:

The LPM effect in sequential bremsstrahlung: 4-gluon vertices
journal, October 2016

Arnold, Peter; Chang, Han-Chih; Iqbal, Shahin
Journal of High Energy Physics, Vol. 2016, Issue 10
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Universality (beyond leading log) of soft radiative corrections to $$ \hat{q} $$ in p⊥ broadening and energy loss
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Arnold, Peter
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The LPM effect in sequential bremsstrahlung: nearly complete results for QCD
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Arnold, Peter; Gorda, Tyler; Iqbal, Shahin
Journal of High Energy Physics, Vol. 2020, Issue 11
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Arnold, Peter; Chang, Han-Chih; Iqbal, Shahin
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The LPM effect in sequential bremsstrahlung
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In-medium loop corrections and longitudinally polarized gauge bosons in high-energy showers
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Strong- vs. weak-coupling pictures of jet quenching: a dry run using QED
journal, May 2019

Arnold, Peter; Iqbal, Shahin; Rase, Tanner
Journal of High Energy Physics, Vol. 2019, Issue 5
DOI: 10.1007/JHEP05(2019)004

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Similar Records

Title: The LPM effect in sequential bremsstrahlung: analytic results for sub-leading (single) logarithms

Abstract

Citation Formats

The LPM effect in sequential bremsstrahlung: 4-gluon vertices journal, October 2016

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

Radiative energy loss of high energy quarks and gluons in a finite-volume quark-gluon plasma journal, January 1997

The LPM effect in sequential bremsstrahlung: dimensional regularization journal, October 2016

Radiative energy loss and radiative p ⊥-broadening of high-energy partons in QCD matter journal, December 2014

Universality (beyond leading log) of soft radiative corrections to $$ \hat{q} $$ in p⊥ broadening and energy loss journal, March 2022

The LPM effect in sequential bremsstrahlung: nearly complete results for QCD journal, November 2020

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

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

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

Radiative -broadening of high-energy quarks and gluons in QCD matter journal, October 2013

Renormalization of the jet-quenching parameter journal, September 2014

The non-linear evolution of jet quenching journal, October 2014

In-medium loop corrections and longitudinally polarized gauge bosons in high-energy showers journal, December 2018

The Landau-Pomeranchuk-Migdal effect in QED journal, November 1996

Radiative energy loss and p⊥-broadening of high energy partons in nuclei journal, January 1997

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The LPM effect in sequential bremsstrahlung: 4-gluon vertices
journal, October 2016

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Radiative energy loss of high energy quarks and gluons in a finite-volume quark-gluon plasma
journal, January 1997

The LPM effect in sequential bremsstrahlung: dimensional regularization
journal, October 2016

Radiative energy loss and radiative p ⊥-broadening of high-energy partons in QCD matter
journal, December 2014

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journal, November 2020

Fully quantum treatment of the Landau-Pomeranchik-Migdal effect in QED and QCD
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journal, September 2016

Radiative energy loss of high-energy quarks in finite-size nuclear matter and quark-gluon plasma
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Radiative -broadening of high-energy quarks and gluons in QCD matter
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