The LPM effect in sequential bremsstrahlung: nearly complete results for QCD

Arnold, Peter; Gorda, Tyler; Iqbal, Shahin

doi:10.1007/jhep11(2020)053

Title: The LPM effect in sequential bremsstrahlung: nearly complete results for QCD

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. We continue study of 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), avoiding soft-emission approximations. Previous work has computed overlap effects for double splitting g → gg → ggg. To make use of those results, one also needs calculations of related virtual loop corrections to single splitting g → gg in order to cancel severe (power-law) infrared (IR) divergences. This paper provides calculations of nearly all such processes involving gluons and discusses how to organize the results to demonstrate the cancellation. In the soft emission limit, our results reproduce the known double-log behavior of earlier authors who worked in leading-log approximation. We also present a first (albeit numerical and not yet analytic) investigation of sub-leading, single IR logarithms. Ultraviolet divergences appearing in our calculations correctly renormalize the coupling αs in the usual LPM result for leading-order g → gg.

Authors:

^[1]; Gorda, Tyler ^[2]; Iqbal, Shahin ^[3]

Univ. of Virginia, Charlottesville, VA (United States)
Univ. of Virginia, Charlottesville, VA (United States); Technische Univ. Darmstadt (Germany)
Central China Normal Univ., Wuhan (China); Quaid-i-Azam Univ., Islamabad (Pakistan)

Publication Date:: Wed Nov 11 00:00:00 EST 2020

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

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

OSTI Identifier:: 1774061

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: 2020; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

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: nearly complete results for QCD.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep11(2020)053.

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                    Arnold, Peter, Gorda, Tyler, & Iqbal, Shahin. The LPM effect in sequential bremsstrahlung: nearly complete results for QCD.  United States.  https://doi.org/10.1007/jhep11(2020)053

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                    Arnold, Peter, Gorda, Tyler, and Iqbal, Shahin. Wed .  
"The LPM effect in sequential bremsstrahlung: nearly complete results for QCD".  United States.  https://doi.org/10.1007/jhep11(2020)053.  https://www.osti.gov/servlets/purl/1774061.

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@article{osti_1774061,

  title        = {The LPM effect in sequential bremsstrahlung: nearly complete results for QCD},

  author       = {Arnold, Peter and Gorda, Tyler 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. We continue study of 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), avoiding soft-emission approximations. Previous work has computed overlap effects for double splitting g → gg → ggg. To make use of those results, one also needs calculations of related virtual loop corrections to single splitting g → gg in order to cancel severe (power-law) infrared (IR) divergences. This paper provides calculations of nearly all such processes involving gluons and discusses how to organize the results to demonstrate the cancellation. In the soft emission limit, our results reproduce the known double-log behavior of earlier authors who worked in leading-log approximation. We also present a first (albeit numerical and not yet analytic) investigation of sub-leading, single IR logarithms. Ultraviolet divergences appearing in our calculations correctly renormalize the coupling αs in the usual LPM result for leading-order g → gg.},

  doi          = {10.1007/jhep11(2020)053},

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

  number       = 11,

  volume       = 2020,

  place        = {United States},

  year         = {Wed Nov 11 00:00:00 EST 2020},

  month        = {Wed Nov 11 00:00:00 EST 2020}

}

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Title: The LPM effect in sequential bremsstrahlung: nearly complete results for QCD

Abstract

Citation Formats

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

Exclusive processes in perturbative quantum chromodynamics journal, November 1980

Quantum chromodynamics and other field theories on the light cone journal, August 1998

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

Energy flow along the medium-induced parton cascade journal, May 2016

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

Jet quenching in hot strongly coupled gauge theories revisited: 3-point correlators with gauge-gravity duality journal, October 2010

The LPM effect in sequential bremsstrahlung journal, April 2015

Medium-Induced QCD Cascade: Democratic Branching and Wave Turbulence journal, July 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

Jet quenching in hot strongly coupled gauge theories simplified journal, April 2011

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

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

Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations journal, January 1999

Jet-medium interactions at NLO in a weakly-coupled quark-gluon plasma journal, March 2016

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

Landau-Pomeranchuk-Migdal effect in sequential bremsstrahlung: From large- N QCD to N = 3 via the SU ( N ) analog of Wigner 6 ‐ j symbols journal, August 2019

Multiparticle potentials from lightlike Wilson lines in quark-gluon plasmas: A generalized relation of in-medium splitting rates to jet-quenching parameters q ^ journal, March 2019

Dipole factorization for DIS at NLO: Loop correction to the γ T , L * → q q ¯ light-front wave functions journal, September 2016

Light-front QCD. III. Coupling constant renormalization journal, November 1993

Energy loss of leading partons in a thermal QCD medium journal, March 2005

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

Light quark energy loss in strongly coupled N = 4 supersymmetric Yang-Mills plasma journal, June 2009

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

Gluon energy loss in the gauge-string duality journal, October 2008

Jet evolution in the 𝒩 = 4 SYM plasma at strong coupling journal, May 2008

The one loop gluon emission light cone wave function journal, April 2017

One-loop corrections to light cone wave functions: The dipole picture DIS cross section journal, June 2018

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

Stopping distance for high energy jets in weakly coupled quark-gluon plasmas journal, February 2010

Strong- vs. weak-coupling pictures of jet quenching: a dry run using QED journal, May 2019

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

Exclusive processes in perturbative quantum chromodynamics
journal, November 1980

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

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

Energy flow along the medium-induced parton cascade
journal, May 2016

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

Jet quenching in hot strongly coupled gauge theories revisited: 3-point correlators with gauge-gravity duality
journal, October 2010

The LPM effect in sequential bremsstrahlung
journal, April 2015

Medium-Induced QCD Cascade: Democratic Branching and Wave Turbulence
journal, July 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

Jet quenching in hot strongly coupled gauge theories simplified
journal, April 2011

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

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

Collinear factorization and splitting functions for next-to-next-to-leading order QCD calculations
journal, January 1999

Jet-medium interactions at NLO in a weakly-coupled quark-gluon plasma
journal, March 2016

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

Landau-Pomeranchuk-Migdal effect in sequential bremsstrahlung: From large- $N$ QCD to $N = 3$ via the $SU (N)$ analog of Wigner $6 ‐ j$ symbols
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Multiparticle potentials from lightlike Wilson lines in quark-gluon plasmas: A generalized relation of in-medium splitting rates to jet-quenching parameters $\hat{q}$
journal, March 2019

Dipole factorization for DIS at NLO: Loop correction to the $γ_{T, L}^{*} \to q \bar{q}$ light-front wave functions
journal, September 2016

Light-front QCD. III. Coupling constant renormalization
journal, November 1993

Energy loss of leading partons in a thermal QCD medium
journal, March 2005

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

Light quark energy loss in strongly coupled $N = 4$ supersymmetric Yang-Mills plasma
journal, June 2009

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

Gluon energy loss in the gauge-string duality
journal, October 2008

Jet evolution in the 𝒩 = 4 SYM plasma at strong coupling
journal, May 2008

The one loop gluon emission light cone wave function
journal, April 2017

One-loop corrections to light cone wave functions: The dipole picture DIS cross section
journal, June 2018

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

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journal, February 2010

Strong- vs. weak-coupling pictures of jet quenching: a dry run using QED
journal, May 2019