Loops and trees in generic EFTs

Craig, Nathaniel; Jiang, Minyuan; Li, Ying-Ying; Sutherland, Dave

doi:10.1007/jhep08(2020)086

Title: Loops and trees in generic EFTs

Abstract

We consider aspects of tree and one-loop behavior in a generic 4d EFT of massless scalars, fermions, and vectors, with a particular eye to the high-energy limit of the Standard Model EFT at operator dimensions 6 and 8. First, we classify the possible Lorentz structures of operators and the subset of these that can arise at tree-level in a weakly coupled UV completion, extending the tree/loop classification through dimension 8 using functional methods. Second, we investigate how operators contribute to tree and one-loop helicity amplitudes, exploring the impact of non-renormalization theorems through dimension 8. We further observe that many dimension 6 contributions to helicity amplitudes, including rational parts, vanish exactly at one-loop level. This suggests the impact of helicity selection rules extends beyond one loop in non-supersymmetric EFTs.

Authors:

^[1]; Jiang, Minyuan ^[2];

^[3]; Sutherland, Dave ^[4]

Univ. of California, Santa Barbara, CA (United States)
Chinese Academy of Sciences (CAS), Beijing (China); Univ. of California, Santa Barbara, CA (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Hong Kong Univ. of Science and Technology, Hong Kong Special Administrative Region (China)
Univ. of California, Santa Barbara, CA (United States); Istituto Nazionale di Fisica Nucleare (INFN) di Trieste (Italy)

Publication Date:: Wed Aug 19 00:00:00 EDT 2020

Research Org.:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); National Natural Science Foundation of China (NSFC); European Union (EU); Kavli Institute for Theoretical Physics; National Science Foundation (NSF)

OSTI Identifier:: 1592139

Report Number(s):: arXiv:2001.00017; FERMILAB-PUB-19-646-T
Journal ID: ISSN 1029-8479; oai:inspirehep.net:1773816; TRN: US2101849

Grant/Contract Number:: AC02-07CH11359; SC0014129; 11761141011; NSF PHY-1748958

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: 8; 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; Scattering Amplitudes

Citation Formats


                    Craig, Nathaniel, Jiang, Minyuan, Li, Ying-Ying, and Sutherland, Dave. Loops and trees in generic EFTs.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep08(2020)086.

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                    Craig, Nathaniel, Jiang, Minyuan, Li, Ying-Ying, & Sutherland, Dave. Loops and trees in generic EFTs.  United States.  https://doi.org/10.1007/jhep08(2020)086

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                    Craig, Nathaniel, Jiang, Minyuan, Li, Ying-Ying, and Sutherland, Dave. Wed .  
"Loops and trees in generic EFTs".  United States.  https://doi.org/10.1007/jhep08(2020)086.  https://www.osti.gov/servlets/purl/1592139.

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@article{osti_1592139,

  title        = {Loops and trees in generic EFTs},

  author       = {Craig, Nathaniel and Jiang, Minyuan and Li, Ying-Ying and Sutherland, Dave},

  abstractNote = {We consider aspects of tree and one-loop behavior in a generic 4d EFT of massless scalars, fermions, and vectors, with a particular eye to the high-energy limit of the Standard Model EFT at operator dimensions 6 and 8. First, we classify the possible Lorentz structures of operators and the subset of these that can arise at tree-level in a weakly coupled UV completion, extending the tree/loop classification through dimension 8 using functional methods. Second, we investigate how operators contribute to tree and one-loop helicity amplitudes, exploring the impact of non-renormalization theorems through dimension 8. We further observe that many dimension 6 contributions to helicity amplitudes, including rational parts, vanish exactly at one-loop level. This suggests the impact of helicity selection rules extends beyond one loop in non-supersymmetric EFTs.},

  doi          = {10.1007/jhep08(2020)086},

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

  number       = 8,

  volume       = 2020,

  place        = {United States},

  year         = {Wed Aug 19 00:00:00 EDT 2020},

  month        = {Wed Aug 19 00:00:00 EDT 2020}

}

Copy to clipboard

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Title: Loops and trees in generic EFTs

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

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One-loop effective lagrangians after matching journal, April 2016

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

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

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On the impact of dimension-eight SMEFT operators on Higgs measurements journal, February 2019

Patterns of deviation from the standard model journal, January 1995

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Reducing full one-loop amplitudes to scalar integrals at the integrand level journal, February 2007

One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts journal, September 2012

One-loop corrections for e+e− annihilation into μ+μ− in the Weinberg model journal, November 1979

On the rational terms of the one-loop amplitudes journal, May 2008

One-loop n-point gauge theory amplitudes, unitarity and collinear limits journal, August 1994

Testing gluon self-interactions in three-jet events at hadron colliders journal, July 1994

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

One-loop helicity amplitudes for all 2 → 2 processes in QCD and N = 1 supersymmetric Yang-Mills theory journal, January 1994

Helicity amplitudes for O(αs) production of W+W−, W±Z, ZZ, W±γ, or Zγ pairs at hadron colliders journal, October 1998

Recursive construction of Higgs + multiparton loop amplitudes: The last of the “ ϕ -nite” loop amplitudes journal, November 2006

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Reduced effective lagrangians
journal, January 1995

Covariant diagrams for one-loop matching
journal, May 2017

Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
text, January 2013

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preprint, January 2014

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journal, February 1988

Nonrenormalization Theorems without Supersymmetry
journal, August 2015

Mixed heavy–light matching in the Universal One-Loop Effective Action
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Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology
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The strongly-interacting light Higgs
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The bases of effective field theories
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Prospects for precision measurement of diboson processes in the semileptonic decay channel in future LHC runs
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Patterns of deviation from the standard model
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Electroweak limits on general new vector bosons
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Reducing full one-loop amplitudes to scalar integrals at the integrand level
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One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts
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One-loop corrections for e+e− annihilation into μ+μ− in the Weinberg model
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On the rational terms of the one-loop amplitudes
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One-loop n-point gauge theory amplitudes, unitarity and collinear limits
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Testing gluon self-interactions in three-jet events at hadron colliders
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The computation of loop amplitudes in gauge theories
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One-loop helicity amplitudes for all 2 → 2 processes in QCD and N = 1 supersymmetric Yang-Mills theory
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Helicity amplitudes for O(αs) production of W+W−, W±Z, ZZ, W±γ, or Zγ pairs at hadron colliders
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Recursive construction of $Higgs + multiparton$ loop amplitudes: The last of the “ $ϕ$ -nite” loop amplitudes
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FORM version 4.0
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Generating Feynman diagrams and amplitudes with FeynArts 3
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Automated one-loop calculations in four and D dimensions
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Nonrenormalization and Operator Mixing via On-Shell Methods
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One-loop non-renormalization results in EFTs
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Constructing effective field theories via their harmonics
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