Structure of two-loop SMEFT anomalous dimensions via on-shell methods

Bern, Zvi; Parra-Martinez, Julio; Sawyer, Eric

doi:10.1007/jhep10(2020)211

Title: Structure of two-loop SMEFT anomalous dimensions via on-shell methods

Abstract

We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used as inputs to the computation of two-loop anomalous dimensions, and we explain how the structure of rational terms and judicious renormalization scheme choices can lead to additional vanishing terms in the anomalous dimension matrix at two loops. We describe the two-loop implications for the Standard Model Effective Field Theory (SMEFT). As a by-product of this analysis we verify a variety of one-loop SMEFT anomalous dimensions computed by Alonso, Jenkins, Manohar and Trott.

Authors:

Bern, Zvi ^[1];

^[1];

^[1]

Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics, Dept. of Physics and Astronomy

Publication Date:: Fri Oct 30 00:00:00 EDT 2020

Research Org.:: Univ. of California, Los Angeles, CA (United States)

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

OSTI Identifier:: 1735521

Grant/Contract Number:: SC0009937

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; Beyond Standard Model; Eﬀective Field Theories; Renormalization Group; Scattering Amplitudes

Citation Formats


                    Bern, Zvi, Parra-Martinez, Julio, and Sawyer, Eric. Structure of two-loop SMEFT anomalous dimensions via on-shell methods.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep10(2020)211.

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                    Bern, Zvi, Parra-Martinez, Julio, & Sawyer, Eric. Structure of two-loop SMEFT anomalous dimensions via on-shell methods.  United States.  https://doi.org/10.1007/jhep10(2020)211

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                    Bern, Zvi, Parra-Martinez, Julio, and Sawyer, Eric. Fri .  
"Structure of two-loop SMEFT anomalous dimensions via on-shell methods".  United States.  https://doi.org/10.1007/jhep10(2020)211.  https://www.osti.gov/servlets/purl/1735521.

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@article{osti_1735521,

  title        = {Structure of two-loop SMEFT anomalous dimensions via on-shell methods},

  author       = {Bern, Zvi and Parra-Martinez, Julio and Sawyer, Eric},

  abstractNote = {We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used as inputs to the computation of two-loop anomalous dimensions, and we explain how the structure of rational terms and judicious renormalization scheme choices can lead to additional vanishing terms in the anomalous dimension matrix at two loops. We describe the two-loop implications for the Standard Model Effective Field Theory (SMEFT). As a by-product of this analysis we verify a variety of one-loop SMEFT anomalous dimensions computed by Alonso, Jenkins, Manohar and Trott.},

  doi          = {10.1007/jhep10(2020)211},

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

  number       = 10,

  volume       = 2020,

  place        = {United States},

  year         = {Fri Oct 30 00:00:00 EDT 2020},

  month        = {Fri Oct 30 00:00:00 EDT 2020}

}

Copy to clipboard

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Title: Structure of two-loop SMEFT anomalous dimensions via on-shell methods

Abstract

Citation Formats

Consistency of the standard model effective field theory journal, December 2019

Causality, analyticity and an IR obstruction to UV completion journal, October 2006

Extending the standard model effective field theory with the complete set of dimension-7 operators journal, December 2014

Renormalization of the vector current in QED journal, May 2006

EFT anomalous dimensions from the S-matrix journal, September 2020

An Introduction to Quantum Field Theory book, January 1993

Two-Loop Four-Graviton Scattering Amplitudes journal, May 2020

Renormalization group evolution of dimension-seven baryon- and lepton-number-violating operators journal, November 2016

All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops journal, March 2020

On the vanishing of evanescent operators journal, March 1991

The Amplituhedron journal, October 2014

One-loop non-renormalization results in EFTs journal, July 2015

Six-Gluon amplitudes in planar N$$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops journal, August 2019

Amplitudes, observables, and classical scattering journal, February 2019

Nonrenormalization Theorems without Supersymmetry journal, August 2015

Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences journal, November 2015

Renormalization of higher-dimensional operators from on-shell amplitudes journal, October 2020

Renormalization group coefficients and the S-matrix journal, December 2016

The cosmological bootstrap: inflationary correlators from symmetries and singularities journal, April 2020

Asymptotic freedom: An approach to strong interactions journal, November 1974

Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order journal, May 2019

Black hole binary dynamics from the double copy and effective theory journal, October 2019

QCD nonleading corrections to weak decays in dimensional regularization and 't Hooft-Veltman schemes journal, March 1990

Direct extraction of one-loop integral coefficients journal, June 2007

Higher-order corrections to jet cross sections in e + e − annihilation journal, September 1992

Single bremsstrahlung processes in gauge theories journal, July 1981

Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology journal, April 2014

Universality in string interactions journal, September 2016

On-shell methods in perturbative QCD journal, July 2007

Generalized unitarity and one-loop amplitudes in super-Yang–Mills journal, October 2005

What is the simplest quantum field theory? journal, September 2010

Effective field theory amplitudes the on-shell way: scalar and vector couplings to gluons journal, February 2019

The computation of loop amplitudes in gauge theories journal, July 1992

Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence journal, October 2013

Amplitudes, form factors and the dilatation operator in N = 4 $$ \mathcal{N}=4 $$ SYM theory journal, February 2015

The electroweak effective field theory from on-shell amplitudes journal, January 2020

Susy theories and QCD: numerical approaches journal, October 2011

Effective lagrangian analysis of new interactions and flavour conservation journal, May 1986

Basics of generalized unitarity journal, October 2011

Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes journal, May 2012

From scattering amplitudes to the dilatation generator in $\mathcal {N}=4$ SYM journal, February 2012

Algorithm FIRE—Feynman Integral REduction journal, October 2008

Dimension-six terms in the Standard Model Lagrangian journal, October 2010

Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence journal, January 2014

Integrability of black hole orbits in maximal supergravity journal, July 2019

The standard model as an effective field theory journal, February 2019

FIRE5: A C++ implementation of Feynman Integral REduction journal, April 2015

Helicity amplitudes for multiple bremsstrahlung in massless non-abelian gauge theories journal, January 1987

Holomorphy without supersymmetry in the Standard Model Effective Field Theory journal, December 2014

Dimension-Six Terms in the Standard Model Lagrangian text, January 2010

One-loop non-renormalization results in EFTs preprint, January 2014

Consistency of the standard model effective field theory
journal, December 2019

Causality, analyticity and an IR obstruction to UV completion
journal, October 2006

Extending the standard model effective field theory with the complete set of dimension-7 operators
journal, December 2014

Renormalization of the vector current in QED
journal, May 2006

EFT anomalous dimensions from the S-matrix
journal, September 2020

An Introduction to Quantum Field Theory
book, January 1993

Two-Loop Four-Graviton Scattering Amplitudes
journal, May 2020

Renormalization group evolution of dimension-seven baryon- and lepton-number-violating operators
journal, November 2016

All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops
journal, March 2020

On the vanishing of evanescent operators
journal, March 1991

The Amplituhedron
journal, October 2014

One-loop non-renormalization results in EFTs
journal, July 2015

Six-Gluon amplitudes in planar N$$ \mathcal{N} $$ = 4 super-Yang-Mills theory at six and seven loops
journal, August 2019

Amplitudes, observables, and classical scattering
journal, February 2019

Nonrenormalization Theorems without Supersymmetry
journal, August 2015

Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences
journal, November 2015

Renormalization of higher-dimensional operators from on-shell amplitudes
journal, October 2020

Renormalization group coefficients and the S-matrix
journal, December 2016

The cosmological bootstrap: inflationary correlators from symmetries and singularities
journal, April 2020

Asymptotic freedom: An approach to strong interactions
journal, November 1974

Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
journal, May 2019

Black hole binary dynamics from the double copy and effective theory
journal, October 2019

QCD nonleading corrections to weak decays in dimensional regularization and 't Hooft-Veltman schemes
journal, March 1990

Direct extraction of one-loop integral coefficients
journal, June 2007

Higher-order corrections to jet cross sections in $e^{+} e^{-}$ annihilation
journal, September 1992

Single bremsstrahlung processes in gauge theories
journal, July 1981

Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology
journal, April 2014

Universality in string interactions
journal, September 2016

On-shell methods in perturbative QCD
journal, July 2007

Generalized unitarity and one-loop amplitudes in super-Yang–Mills
journal, October 2005

What is the simplest quantum field theory?
journal, September 2010

Effective field theory amplitudes the on-shell way: scalar and vector couplings to gluons
journal, February 2019

The computation of loop amplitudes in gauge theories
journal, July 1992

Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence
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Amplitudes, form factors and the dilatation operator in N = 4 $$ \mathcal{N}=4 $$ SYM theory
journal, February 2015

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journal, January 2020

Susy theories and QCD: numerical approaches
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Effective lagrangian analysis of new interactions and flavour conservation
journal, May 1986

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journal, October 2011

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journal, May 2012

From scattering amplitudes to the dilatation generator in $\mathcal {N}=4$ SYM
journal, February 2012

Algorithm FIRE—Feynman Integral REduction
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Dimension-six terms in the Standard Model Lagrangian
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Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence
journal, January 2014

Integrability of black hole orbits in maximal supergravity
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The standard model as an effective field theory
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FIRE5: A C++ implementation of Feynman Integral REduction
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Helicity amplitudes for multiple bremsstrahlung in massless non-abelian gauge theories
journal, January 1987

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journal, December 2014

Dimension-Six Terms in the Standard Model Lagrangian
text, January 2010

One-loop non-renormalization results in EFTs
preprint, January 2014