Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT

Vaidya, Varun; Yao, Xiaojun

doi:10.1007/jhep10(2020)024

Title: Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT

Abstract

We utilize the technology of open quantum systems in conjunction with the recently developed effective field theory for forward scattering to address the question of massless jet propagation through a weakly-coupled quark-gluon plasma in thermal equilibrium. We discuss various possible hierarchies of scales that may appear in this problem, by comparing thermal scales of the plasma with relevant scales in the effective field theory. Starting from the Lindblad equation, we derive and solve a master equation for the trans- verse momentum distribution of a massless quark jet, at leading orders both in the strong coupling and in the power counting of the effective field theory. Markovian approximation is justified in the weak coupling limit. Using the solution to the master equation, we study the transverse momentum broadening of a jet as a function of the plasma temperature and the time of propagation. We discuss the physical origin of infrared sensitivity that arises in the solution and a way to handle it in the effective field theory formulation. We suspect that the final measurement constraint can only cut-off leading infrared singularities and the solution to the Markovian master equation resums a logarithmic series. This work is a stepping stone towards understandingmore »« less

Authors:

Vaidya, Varun ^[1];

^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Publication Date:: Mon Oct 05 00:00:00 EDT 2020

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1712437

Grant/Contract Number:: SC0011090

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: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Heavy Ion Phenomenology

Citation Formats


                    Vaidya, Varun, and Yao, Xiaojun. Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep10(2020)024.

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                    Vaidya, Varun, & Yao, Xiaojun. Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT.  United States.  https://doi.org/10.1007/jhep10(2020)024

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                    Vaidya, Varun, and Yao, Xiaojun. Mon .  
"Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT".  United States.  https://doi.org/10.1007/jhep10(2020)024.  https://www.osti.gov/servlets/purl/1712437.

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@article{osti_1712437,

  title        = {Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT},

  author       = {Vaidya, Varun and Yao, Xiaojun},

  abstractNote = {We utilize the technology of open quantum systems in conjunction with the recently developed effective field theory for forward scattering to address the question of massless jet propagation through a weakly-coupled quark-gluon plasma in thermal equilibrium. We discuss various possible hierarchies of scales that may appear in this problem, by comparing thermal scales of the plasma with relevant scales in the effective field theory. Starting from the Lindblad equation, we derive and solve a master equation for the trans- verse momentum distribution of a massless quark jet, at leading orders both in the strong coupling and in the power counting of the effective field theory. Markovian approximation is justified in the weak coupling limit. Using the solution to the master equation, we study the transverse momentum broadening of a jet as a function of the plasma temperature and the time of propagation. We discuss the physical origin of infrared sensitivity that arises in the solution and a way to handle it in the effective field theory formulation. We suspect that the final measurement constraint can only cut-off leading infrared singularities and the solution to the Markovian master equation resums a logarithmic series. This work is a stepping stone towards understanding jet quenching and jet substructure observables on both light and heavy quark jets as probes of the quark-gluon plasma.},

  doi          = {10.1007/jhep10(2020)024},

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

  number       = 10,

  volume       = 2020,

  place        = {United States},

  year         = {Mon Oct 05 00:00:00 EDT 2020},

  month        = {Mon Oct 05 00:00:00 EDT 2020}

}

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Title: Transverse momentum broadening of a jet in quark-gluon plasma: an open quantum system EFT

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Multiple Scattering, Parton Energy Loss, and Modified Fragmentation Functions in Deeply Inelastic eA Scattering journal, October 2000

Heavy quarkonia in a medium as a quantum dissipative system: master-equation approach journal, May 2012

Sonic Mach cones induced by fast partons in a perturbative quark-gluon plasma journal, October 2008

Fate of in-medium heavy quarks via a Lindblad equation journal, August 2017

Fate of heavy quark bound states inside quark-gluon plasma conference, August 2020

Medium-induced gluon radiation off massive quarks fills the dead cone journal, June 2004

Sound Produced by a Fast Parton in the Quark-Gluon Plasma is a “Crescendo” journal, July 2009

Multiple collisions and induced gluon bremsstrahlung in QCD journal, June 1994

Open Quantum Systems Far from Equilibrium book, January 2014

Jet Quenching Phenomenology from Soft-Collinear Effective Theory with Glauber Gluons journal, March 2015

Gluon radiation off hard quarks in a nuclear environment: opacity expansion journal, November 2000

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

Transverse momentum broadening of a fast quark in a Script N = 4 Yang-Mills plasma journal, April 2007

Transverse momentum spectra at threshold for groomed heavy quark jets journal, October 2018

An effective field theory for forward scattering and factorization violation journal, August 2016

Jet Physics in Heavy-Ion Collisions journal, April 2013

Medium-induced parton splitting kernels from Soft Collinear Effective Theory with Glauber gluons journal, January 2012

Jet structure in heavy ion collisions journal, November 2015

Heavy quarkonium suppression in a fireball journal, April 2018

Transport coefficients from in-medium quarkonium dynamics journal, September 2019

Resolution effects in the hybrid strong/weak coupling model journal, March 2018

Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma journal, February 2020

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

Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter journal, December 2010

Calculating quenching weights journal, July 2003

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

Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation journal, July 2018

Invariant operators in collinear effective theory journal, September 2001

Quarkonium Production in Heavy Ion Collisions: From Open Quantum System to Transport Equation journal, January 2021

Landau-Pomeranchuk-Migdal effect in QCD and radiative energy loss in a quark-gluon plasma journal, April 1995

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

Spacelike strings and jet quenching from a Wilson loop journal, April 2007

Jet quenching in high-energy heavy-ion collisions journal, November 2015

Improved opacity expansion for medium-induced parton splitting journal, June 2020

Modification of jet substructure in heavy ion collisions as a probe of the resolution length of quark-gluon plasma journal, January 2020

Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma journal, May 2012

The zero-bin and mode factorization in quantum field theory journal, October 2007

Multiple parton scattering in nuclei: parton energy loss journal, December 2001

Calculating the Jet Quenching Parameter journal, November 2006

Power suppressed operators and gauge invariance in soft-collinear effective theory journal, August 2003

Hard scattering factorization from effective field theory journal, July 2002

A hybrid strong/weak coupling approach to jet quenching journal, October 2014

Predictions for boson-jet observables and fragmentation function ratios from a hybrid strong/weak coupling model for jet quenching journal, March 2016

Potential NRQCD: an effective theory for heavy quarkonium journal, January 2000

Approach to equilibrium of a quarkonium in a quark-gluon plasma journal, October 2018

Jet quenching in thin quark–gluon plasmas I: formalism journal, April 2000

Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching journal, November 2007

Quarkonium suppression in heavy-ion collisions: An open quantum system approach journal, August 2017

The large N limit of superconformal field theories and supergravity conference, January 1999

Towards the understanding of jet shapes and cross sections in heavy ion collisions using soft-collinear effective theory journal, May 2016

The Schrödinger–Langevin equation with and without thermal fluctuations journal, May 2016

Photon and gluon emission in relativistic plasmas journal, June 2002

Effective kinetic theory for high temperature gauge theories journal, January 2003

Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid journal, January 2019

Factorization and end point singularities in heavy-to-light decays journal, April 2003

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

Induced gluon radiation in a QCD medium journal, February 1995

Momentum broadening in weakly coupled quark-gluon plasma (with a view to finding the quasiparticles within liquid quark-gluon plasma) journal, May 2013

Reaction operator approach to non-abelian energy loss
journal, January 2001

Heavy quark master equations in the Lindblad form at high temperatures
journal, March 2015

Heavy quark bound states in a quark–gluon plasma: Dissociation and recombination
journal, February 2016

Quantum and classical dynamics of heavy quarks in a quark-gluon plasma
journal, June 2018

Quarkonium in-medium transport equation derived from first principles
journal, May 2019

Jet quenching from QCD evolution
journal, April 2016

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

Quarkonium production in heavy ion collisions: coupled Boltzmann transport equations
conference, April 2019

Effective-field theories for heavy quarkonium
journal, December 2005

An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001

Simultaneous description of hadron and jet suppression in heavy-ion collisions
journal, May 2019

An effective theory for jet propagation in dense QCD matter: jet broadening and medium-induced bremsstrahlung
journal, June 2011

Quarkonium above deconfinement as an open quantum system
journal, June 2013

Predictions for energy correlators probing substructure of groomed heavy quark jets
journal, September 2019

Transverse momentum broadening and the jet quenching parameter, redux
journal, September 2011

Modified Boltzmann approach for modeling the splitting vertices induced by the hot QCD medium in the deep Landau-Pomeranchuk-Migdal region
journal, December 2019

Multiple Scattering, Parton Energy Loss, and Modified Fragmentation Functions in Deeply Inelastic $eA$ Scattering
journal, October 2000

Heavy quarkonia in a medium as a quantum dissipative system: master-equation approach
journal, May 2012

Sonic Mach cones induced by fast partons in a perturbative quark-gluon plasma
journal, October 2008

Fate of in-medium heavy quarks via a Lindblad equation
journal, August 2017

Fate of heavy quark bound states inside quark-gluon plasma
conference, August 2020

Medium-induced gluon radiation off massive quarks fills the dead cone
journal, June 2004

Sound Produced by a Fast Parton in the Quark-Gluon Plasma is a “Crescendo”
journal, July 2009

Multiple collisions and induced gluon bremsstrahlung in QCD
journal, June 1994

Open Quantum Systems Far from Equilibrium
book, January 2014

Jet Quenching Phenomenology from Soft-Collinear Effective Theory with Glauber Gluons
journal, March 2015

Gluon radiation off hard quarks in a nuclear environment: opacity expansion
journal, November 2000

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

Transverse momentum broadening of a fast quark in a Script N = 4 Yang-Mills plasma
journal, April 2007

Transverse momentum spectra at threshold for groomed heavy quark jets
journal, October 2018

An effective field theory for forward scattering and factorization violation
journal, August 2016

Jet Physics in Heavy-Ion Collisions
journal, April 2013

Medium-induced parton splitting kernels from Soft Collinear Effective Theory with Glauber gluons
journal, January 2012

Jet structure in heavy ion collisions
journal, November 2015

Heavy quarkonium suppression in a fireball
journal, April 2018

Transport coefficients from in-medium quarkonium dynamics
journal, September 2019

Resolution effects in the hybrid strong/weak coupling model
journal, March 2018

Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma
journal, February 2020

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

Finite-size effects on the radiative energy loss of a fast parton in hot and dense strongly interacting matter
journal, December 2010

Calculating quenching weights
journal, July 2003

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

Quantum dissipation of a heavy quark from a nonlinear stochastic Schrödinger equation
journal, July 2018

Invariant operators in collinear effective theory
journal, September 2001

Quarkonium Production in Heavy Ion Collisions: From Open Quantum System to Transport Equation
journal, January 2021

Landau-Pomeranchuk-Migdal effect in QCD and radiative energy loss in a quark-gluon plasma
journal, April 1995

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

Spacelike strings and jet quenching from a Wilson loop
journal, April 2007

Jet quenching in high-energy heavy-ion collisions
journal, November 2015

Improved opacity expansion for medium-induced parton splitting
journal, June 2020

Modification of jet substructure in heavy ion collisions as a probe of the resolution length of quark-gluon plasma
journal, January 2020

Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
journal, May 2012

The zero-bin and mode factorization in quantum field theory
journal, October 2007

Multiple parton scattering in nuclei: parton energy loss
journal, December 2001

Calculating the Jet Quenching Parameter
journal, November 2006

Power suppressed operators and gauge invariance in soft-collinear effective theory
journal, August 2003

Hard scattering factorization from effective field theory
journal, July 2002

A hybrid strong/weak coupling approach to jet quenching
journal, October 2014

Predictions for boson-jet observables and fragmentation function ratios from a hybrid strong/weak coupling model for jet quenching
journal, March 2016

Potential NRQCD: an effective theory for heavy quarkonium
journal, January 2000

Approach to equilibrium of a quarkonium in a quark-gluon plasma
journal, October 2018

Jet quenching in thin quark–gluon plasmas I: formalism
journal, April 2000

Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching
journal, November 2007

Quarkonium suppression in heavy-ion collisions: An open quantum system approach
journal, August 2017

The large N limit of superconformal field theories and supergravity
conference, January 1999

Towards the understanding of jet shapes and cross sections in heavy ion collisions using soft-collinear effective theory
journal, May 2016

The Schrödinger–Langevin equation with and without thermal fluctuations
journal, May 2016

Photon and gluon emission in relativistic plasmas
journal, June 2002

Effective kinetic theory for high temperature gauge theories
journal, January 2003

Molière scattering in quark-gluon plasma: finding point-like scatterers in a liquid
journal, January 2019

Factorization and end point singularities in heavy-to-light decays
journal, April 2003

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

Induced gluon radiation in a QCD medium
journal, February 1995

Momentum broadening in weakly coupled quark-gluon plasma (with a view to finding the quasiparticles within liquid quark-gluon plasma)
journal, May 2013