Covariant diagrams for one-loop matching

Zhang, Zhengkang

doi:10.1007/JHEP05(2017)152

Title: Covariant diagrams for one-loop matching

Abstract

Here, we present a diagrammatic formulation of recently-revived covariant functional approaches to one-loop matching from an ultraviolet (UV) theory to a low-energy effective field theory. Various terms following from a covariant derivative expansion (CDE) are represented by diagrams which, unlike conventional Feynman diagrams, involve gauge-covariant quantities and are thus dubbed "covariant diagrams." The use of covariant diagrams helps organize and simplify one-loop matching calculations, which we illustrate with examples. Of particular interest is the derivation of UV model-independent universal results, which reduce matching calculations of specific UV models to applications of master formulas. We also show how such derivation can be done in a more concise manner than the previous literature, and discuss how additional structures that are not directly captured by existing universal results, including mixed heavy-light loops, open covariant derivatives, and mixed statistics, can be easily accounted for.

Authors:

Zhang, Zhengkang ^[1]

Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics (MCTP); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)

Publication Date:: Tue May 30 00:00:00 EDT 2017

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1389267

Grant/Contract Number:: SC0007859

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: 2017; Journal Issue: 5; 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; Gauge Symmetry; Beyond Standard Model

Citation Formats


                    Zhang, Zhengkang. Covariant diagrams for one-loop matching.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP05(2017)152.

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                    Zhang, Zhengkang. Covariant diagrams for one-loop matching.  United States.  https://doi.org/10.1007/JHEP05(2017)152

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                    Zhang, Zhengkang. Tue .  
"Covariant diagrams for one-loop matching".  United States.  https://doi.org/10.1007/JHEP05(2017)152.  https://www.osti.gov/servlets/purl/1389267.

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@article{osti_1389267,

  title        = {Covariant diagrams for one-loop matching},

  author       = {Zhang, Zhengkang},

  abstractNote = {Here, we present a diagrammatic formulation of recently-revived covariant functional approaches to one-loop matching from an ultraviolet (UV) theory to a low-energy effective field theory. Various terms following from a covariant derivative expansion (CDE) are represented by diagrams which, unlike conventional Feynman diagrams, involve gauge-covariant quantities and are thus dubbed "covariant diagrams." The use of covariant diagrams helps organize and simplify one-loop matching calculations, which we illustrate with examples. Of particular interest is the derivation of UV model-independent universal results, which reduce matching calculations of specific UV models to applications of master formulas. We also show how such derivation can be done in a more concise manner than the previous literature, and discuss how additional structures that are not directly captured by existing universal results, including mixed heavy-light loops, open covariant derivatives, and mixed statistics, can be easily accounted for.},

  doi          = {10.1007/JHEP05(2017)152},

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

  number       = 5,

  volume       = 2017,

  place        = {United States},

  year         = {Tue May 30 00:00:00 EDT 2017},

  month        = {Tue May 30 00:00:00 EDT 2017}

}

Copy to clipboard

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On the future of Higgs, electroweak and diboson measurements at lepton colliders
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Title: Covariant diagrams for one-loop matching

Abstract

Citation Formats

One-loop effective lagrangians after matching journal, April 2016

Derivative Expansion for the One-Loop Effective Actions with Internal Symmetry journal, September 1986

The universal one-loop effective action journal, March 2016

Foundation and generalization of the expansion by regions journal, December 2011

Low energy behaviour of standard model extensions journal, May 2016

Integrating out heavy particles with functional methods: a simplified framework journal, September 2016

Integrating out the standard Higgs field in the path integral journal, January 1996

Asymptotic expansion of Feynman integrals near threshold journal, June 1998

The effective one-loop scalar lagrangian with derivative couplings journal, May 1986

Standard model effective field theory: integrating out vector-like fermions journal, September 2015

Mixed heavy–light matching in the Universal One-Loop Effective Action journal, November 2016

One-loop effective lagrangian for an extension of the standard model with a heavy charged scalar singlet journal, May 1994

Standard Model Effective Field Theory: integrating out a generic scalar journal, September 2015

Effective action for the standard model with large Higgs mass journal, February 1988

One-loop effective lagrangians after matching text, January 2016

How to use the Standard Model effective field theory preprint, January 2014

Standard Model Effective Field Theory: Integrating out a Generic Scalar text, January 2015

The Universal One-Loop Effective Action text, January 2015

One-loop effective lagrangians after matching text, January 2016

Low energy behaviour of standard model extensions preprint, January 2016

Mixed Heavy-Light Matching in the Universal One-Loop Effective Action text, January 2016

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Standard model parameters in the tadpole-free pure MS ¯ scheme journal, October 2019

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Completing the scalar and fermionic universal one-loop effective action text, January 2020

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Compilation of low-energy constraints on 4-fermion operators in the SMEFT text, January 2017

Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients text, January 2017

Complete One-Loop Matching for a Singlet Scalar in the Standard Model EFT text, January 2018

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One-loop effective lagrangians after matching
journal, April 2016

Derivative Expansion for the One-Loop Effective Actions with Internal Symmetry
journal, September 1986

The universal one-loop effective action
journal, March 2016

Foundation and generalization of the expansion by regions
journal, December 2011

Low energy behaviour of standard model extensions
journal, May 2016

Integrating out heavy particles with functional methods: a simplified framework
journal, September 2016

Integrating out the standard Higgs field in the path integral
journal, January 1996

Asymptotic expansion of Feynman integrals near threshold
journal, June 1998

The effective one-loop scalar lagrangian with derivative couplings
journal, May 1986

Standard model effective field theory: integrating out vector-like fermions
journal, September 2015

Mixed heavy–light matching in the Universal One-Loop Effective Action
journal, November 2016

One-loop effective lagrangian for an extension of the standard model with a heavy charged scalar singlet
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Standard Model Effective Field Theory: integrating out a generic scalar
journal, September 2015

Effective action for the standard model with large Higgs mass
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One-loop effective lagrangians after matching
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How to use the Standard Model effective field theory
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Standard Model Effective Field Theory: Integrating out a Generic Scalar
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The Universal One-Loop Effective Action
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One-loop effective lagrangians after matching
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Low energy behaviour of standard model extensions
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Mixed Heavy-Light Matching in the Universal One-Loop Effective Action
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Standard model parameters in the tadpole-free pure $\bar{MS}$ scheme
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