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Title: Geometry in scattering amplitudes

Journal Article · · Physical Review. D.
ORCiD logo [1];  [2];  [2]
  1. California Institute of Technology, Pasadena, CA (United States)
  2. University of California San Diego, La Jolla, CA (United States)
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We formulate the field-space geometry for an effective field theory of scalars and gauge bosons. Geometric invariants such as the field-space curvature enter in both scattering amplitudes and the renormalization group equations, with the scalar and gauge results unified in a single expression.

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0011632; SC0009919
OSTI ID:
1906889
Alternate ID(s):
OSTI ID: 2222929
Journal Information:
Physical Review. D., Vol. 106, Issue 11; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (25)

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Standard Model EFTs via on-shell methods journal November 2021
Geometry-kinematics duality journal August 2022
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Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology journal April 2014
Frame covariant formalism for fermionic theories journal July 2021
Change of variables in quantum field theories journal August 1961
Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence journal January 2014
Geometry of the scalar sector journal August 2016
Nonrenormalization and Operator Mixing via On-Shell Methods journal February 2020
Roads to the Standard Model journal May 2022
Structure of two-loop SMEFT anomalous dimensions via on-shell methods journal October 2020
A geometric formulation of Higgs Effective Field Theory: Measuring the curvature of scalar field space journal March 2016
Unitarity violation and the geometry of Higgs EFTs journal December 2021

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Effective field theory
Geometry
Scattering amplitudes