Renormalization and scale evolution of the soft-quark soft function

Liu, Ze Long; Mecaj, Bianka; Neubert, Matthias; Wang, Xing; Fleming, Sean

doi:10.1007/JHEP07(2020)104

Title: Renormalization and scale evolution of the soft-quark soft function

Abstract

Soft functions defined in terms of matrix elements of soft fields dressed by Wilson lines are central components of factorization theorems for cross sections and decay rates in collider and heavy-quark physics. While in many cases the relevant soft functions are defined in terms of gluon operators, at subleading order in power counting soft functions containing quark fields appear. We present a detailed discussion of the properties of the soft-quark soft function consisting of a quark propagator dressed by two finite-length Wilson lines connecting at one point. This function enters in the factorization theorem for the Higgs-boson decay amplitude of the h → γγ process mediated by light-quark loops. We perform the renormalization of this soft function at one-loop order, present a conjecture for its two-loop anomalous dimension and discuss solutions to its renormalization-group evolution equation in momentum space, in Laplace space and in the “diagonal space”, where the evolution is strictly local in the momentum variable.

Authors:

Liu, Ze Long ^[1]; Mecaj, Bianka ^[2]; Neubert, Matthias ^[3]; Wang, Xing ^[2]; Fleming, Sean ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Johannes Gutenberg Univ., Mainz (Germany). PRISMA+ Cluster of Excellence. Mainz Inst. for Theoretical Physics
Johannes Gutenberg Univ., Mainz (Germany). PRISMA+ Cluster of Excellence. Mainz Inst. for Theoretical Physics; Cornell Univ., Ithaca, NY (United States). Dept. of Physics

Publication Date:: Thu Jul 16 00:00:00 EDT 2020

Research Org.:: Univ. of Arizona, Tucson, AZ (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Johannes Gutenberg Univ., Mainz (Germany)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); German Research Foundation (DFG)

OSTI Identifier:: 1646660

Alternate Identifier(s):: OSTI ID: 1764235

Report Number(s):: LA-UR-20-28935
Journal ID: ISSN 1029-8479; TRN: US2202766

Grant/Contract Number:: FG02-04ER41338; AC52-06NA25396; 39083149; 89233218CNA000001

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: 7; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective field theories; renormalization group; resummation; perturbative QCD

Citation Formats


                    Liu, Ze Long, Mecaj, Bianka, Neubert, Matthias, Wang, Xing, and Fleming, Sean. Renormalization and scale evolution of the soft-quark soft function.  United States: N. p., 2020. 
Web.  doi:10.1007/JHEP07(2020)104.

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                    Liu, Ze Long, Mecaj, Bianka, Neubert, Matthias, Wang, Xing, & Fleming, Sean. Renormalization and scale evolution of the soft-quark soft function.  United States.  https://doi.org/10.1007/JHEP07(2020)104

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                    Liu, Ze Long, Mecaj, Bianka, Neubert, Matthias, Wang, Xing, and Fleming, Sean. Thu .  
"Renormalization and scale evolution of the soft-quark soft function".  United States.  https://doi.org/10.1007/JHEP07(2020)104.  https://www.osti.gov/servlets/purl/1646660.

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@article{osti_1646660,

  title        = {Renormalization and scale evolution of the soft-quark soft function},

  author       = {Liu, Ze Long and Mecaj, Bianka and Neubert, Matthias and Wang, Xing and Fleming, Sean},

  abstractNote = {Soft functions defined in terms of matrix elements of soft fields dressed by Wilson lines are central components of factorization theorems for cross sections and decay rates in collider and heavy-quark physics. While in many cases the relevant soft functions are defined in terms of gluon operators, at subleading order in power counting soft functions containing quark fields appear. We present a detailed discussion of the properties of the soft-quark soft function consisting of a quark propagator dressed by two finite-length Wilson lines connecting at one point. This function enters in the factorization theorem for the Higgs-boson decay amplitude of the h → γγ process mediated by light-quark loops. We perform the renormalization of this soft function at one-loop order, present a conjecture for its two-loop anomalous dimension and discuss solutions to its renormalization-group evolution equation in momentum space, in Laplace space and in the “diagonal space”, where the evolution is strictly local in the momentum variable.},

  doi          = {10.1007/JHEP07(2020)104},

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

  number       = 7,

  volume       = 2020,

  place        = {United States},

  year         = {Thu Jul 16 00:00:00 EDT 2020},

  month        = {Thu Jul 16 00:00:00 EDT 2020}

}

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Title: Renormalization and scale evolution of the soft-quark soft function

Abstract

Citation Formats

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