Sum rules in the standard model effective field theory from helicity amplitudes

Gu, Jiayin; Wang, Lian-Tao

doi:10.1007/jhep03(2021)149

Title: Sum rules in the standard model effective field theory from helicity amplitudes

Abstract

The dispersion relation of an elastic 4-point amplitude in the forward direction leads to a sum rule that connects the low energy amplitude to the high energy observables. We perform a classification of these sum rules based on massless helicity amplitudes. With this classification, we are able to systematically write down the sum rules for the dimension-6 operators of the Standard Model Effective Field Theory (SMEFT), some of which are absent in previous literatures. These sum rules offer distinct insights on the relations between the operator coefficients in the EFT and the properties of the full theory that generates them. Their applicability goes beyond tree level, and in some cases can be used as a practical method of computing the one loop contributions to low energy observables. They also provide an interesting perspective for understanding the custodial symmetries of the SM Higgs and fermion sectors.

Authors:

Gu, Jiayin ^[1]; Wang, Lian-Tao ^[2]

Johannes Gutenberg Univ., Mainz (Germany)
Univ. of Chicago, IL (United States)

Publication Date:: Mon Mar 15 00:00:00 EDT 2021

Research Org.:: Univ. of Chicago, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); German Research Foundation (DFG)

OSTI Identifier:: 1822832

Alternate Identifier(s):: OSTI ID: 1735349

Grant/Contract Number:: SC0009924; SC0013642

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: 2021; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; Effective Field Theories; Scattering Amplitudes

Citation Formats


                    Gu, Jiayin, and Wang, Lian-Tao. Sum rules in the standard model effective field theory from helicity amplitudes.  United States: N. p., 2021. 
Web.  doi:10.1007/jhep03(2021)149.

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                    Gu, Jiayin, & Wang, Lian-Tao. Sum rules in the standard model effective field theory from helicity amplitudes.  United States.  https://doi.org/10.1007/jhep03(2021)149

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                    Gu, Jiayin, and Wang, Lian-Tao. Mon .  
"Sum rules in the standard model effective field theory from helicity amplitudes".  United States.  https://doi.org/10.1007/jhep03(2021)149.  https://www.osti.gov/servlets/purl/1822832.

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@article{osti_1822832,

  title        = {Sum rules in the standard model effective field theory from helicity amplitudes},

  author       = {Gu, Jiayin and Wang, Lian-Tao},

  abstractNote = {The dispersion relation of an elastic 4-point amplitude in the forward direction leads to a sum rule that connects the low energy amplitude to the high energy observables. We perform a classification of these sum rules based on massless helicity amplitudes. With this classification, we are able to systematically write down the sum rules for the dimension-6 operators of the Standard Model Effective Field Theory (SMEFT), some of which are absent in previous literatures. These sum rules offer distinct insights on the relations between the operator coefficients in the EFT and the properties of the full theory that generates them. Their applicability goes beyond tree level, and in some cases can be used as a practical method of computing the one loop contributions to low energy observables. They also provide an interesting perspective for understanding the custodial symmetries of the SM Higgs and fermion sectors.},

  doi          = {10.1007/jhep03(2021)149},

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

  number       = 3,

  volume       = 2021,

  place        = {United States},

  year         = {Mon Mar 15 00:00:00 EDT 2021},

  month        = {Mon Mar 15 00:00:00 EDT 2021}

}

Copy to clipboard

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Similar Records

Title: Sum rules in the standard model effective field theory from helicity amplitudes

Abstract

Citation Formats

Softness and amplitudes’ positivity for spinning particles journal, February 2017

Positivity constraints on aQGC: carving out the physical parameter space journal, June 2019

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On-shell constructibility of Born amplitudes in spontaneously broken gauge theories journal, February 2020

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

Testing the custodial symmetry in the Higgs sector of the Georgi-Machacek model journal, January 2013

Higher-point positivity journal, November 2018

The rise of SMEFT on-shell amplitudes journal, December 2019

Renormalization Group evolution from on-shell SMEFT journal, January 2021

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

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

Application of Dispersion Relations to Pion-Nucleon Scattering journal, August 1955

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

On-shell electroweak sector and the Higgs mechanism journal, August 2020

Massive higher spins: effective theory and consistency journal, October 2019

On the validity of the effective field theory approach to SM precision tests journal, July 2016

Nonrenormalization Theorems without Supersymmetry journal, August 2015

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

Higgs windows to new physics through d = 6 operators: constraints and one-loop anomalous dimensions journal, November 2013

Renormalization group scaling of Higgs operators and h → γγ decay journal, April 2013

Convex Geometry Perspective on the (Standard Model) Effective Field Theory Space journal, November 2020

Symmetries, sum rules and constraints on effective field theories journal, September 2014

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

How to use the Standard Model effective field theory journal, January 2016

Theoretical constraints on the Higgs effective couplings journal, April 2010

Estimation of oblique electroweak corrections journal, July 1992

Prospects of searching for composite resonances at the LHC and beyond journal, January 2019

Renormalization of dimension-six operators relevant for the Higgs decays h → γγ, γZ journal, August 2013

Positivity constraints on the low-energy constants of the chiral pion–nucleon Lagrangian journal, March 2014

Structure of two-loop SMEFT anomalous dimensions via on-shell methods journal, October 2020

What if the Higgs couplings to W and Z bosons are larger than in the Standard Model? journal, April 2012

Determination of Pion-Nucleon Parameters and Phase Shifts by Dispersion Relations journal, October 1963

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

Loops and trees in generic EFTs journal, August 2020

Generalized positivity bounds on chiral perturbation theory journal, July 2020

TASI Lectures on Scattering Amplitudes conference, July 2018

Doubly charged Higgs bosons journal, December 1985

Asymptotic Behavior and Subtractions in the Mandelstam Representation journal, August 1961

Enumerating higher-dimensional operators with on-shell amplitudes journal, May 2020

The decoupling limit in the Georgi-Machacek model journal, July 2014

Beyond Positivity Bounds and the Fate of Massive Gravity journal, April 2018

On-shell constructibility of Born amplitudes in spontaneously broken gauge theories text, January 2020

Softness and amplitudes’ positivity for spinning particles
journal, February 2017

Positivity constraints on aQGC: carving out the physical parameter space
journal, June 2019

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

On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
journal, February 2020

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

Testing the custodial symmetry in the Higgs sector of the Georgi-Machacek model
journal, January 2013

Higher-point positivity
journal, November 2018

The rise of SMEFT on-shell amplitudes
journal, December 2019

Renormalization Group evolution from on-shell SMEFT
journal, January 2021

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

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

Application of Dispersion Relations to Pion-Nucleon Scattering
journal, August 1955

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

On-shell electroweak sector and the Higgs mechanism
journal, August 2020

Massive higher spins: effective theory and consistency
journal, October 2019

On the validity of the effective field theory approach to SM precision tests
journal, July 2016

Nonrenormalization Theorems without Supersymmetry
journal, August 2015

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

Higgs windows to new physics through d = 6 operators: constraints and one-loop anomalous dimensions
journal, November 2013

Renormalization group scaling of Higgs operators and h → γγ decay
journal, April 2013

Convex Geometry Perspective on the (Standard Model) Effective Field Theory Space
journal, November 2020

Symmetries, sum rules and constraints on effective field theories
journal, September 2014

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

How to use the Standard Model effective field theory
journal, January 2016

Theoretical constraints on the Higgs effective couplings
journal, April 2010

Estimation of oblique electroweak corrections
journal, July 1992

Prospects of searching for composite resonances at the LHC and beyond
journal, January 2019

Renormalization of dimension-six operators relevant for the Higgs decays h → γγ, γZ
journal, August 2013

Positivity constraints on the low-energy constants of the chiral pion–nucleon Lagrangian
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Structure of two-loop SMEFT anomalous dimensions via on-shell methods
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What if the Higgs couplings to W and Z bosons are larger than in the Standard Model?
journal, April 2012

Determination of Pion-Nucleon Parameters and Phase Shifts by Dispersion Relations
journal, October 1963

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

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journal, August 2020

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TASI Lectures on Scattering Amplitudes
conference, July 2018

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journal, August 1961

Enumerating higher-dimensional operators with on-shell amplitudes
journal, May 2020

The decoupling limit in the Georgi-Machacek model
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Beyond Positivity Bounds and the Fate of Massive Gravity
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On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
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