Equations of motion, symmetry currents and EFT below the electroweak scale

The low-energy effective field theory is constructed by integrating out Standard Model states with masses proximate to the electroweak scale. We report the equations of motion for this theory, including corrections due to higher dimensional operators up to mass dimension six. We construct the corres...

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Main Authors: Andreas Helset, Michael Trott
Format: Article
Language:English
Published: Elsevier 2019-08-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319304678
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author Andreas Helset
Michael Trott
author_facet Andreas Helset
Michael Trott
author_sort Andreas Helset
collection DOAJ
description The low-energy effective field theory is constructed by integrating out Standard Model states with masses proximate to the electroweak scale. We report the equations of motion for this theory, including corrections due to higher dimensional operators up to mass dimension six. We construct the corresponding symmetry currents, and discuss how the SU(2)L×U(1)y symmetry, and global symmetries, are manifested when Standard Model states are integrated out. Including contributions from higher dimensional operators to the equations of motion modifies the interpretation of conserved currents. We discuss the corrections to the electromagnetic current as an example, showing how modifications to the equation of motion, and corresponding surface terms, have a direct interpretation in terms of multipole charge distributions that act to source gauge fields.
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spelling doaj.art-ac514d4c242d4406bf0931d3c067e1c52022-12-21T23:49:08ZengElsevierPhysics Letters B0370-26932019-08-01795606619Equations of motion, symmetry currents and EFT below the electroweak scaleAndreas Helset0Michael Trott1Corresponding author.; Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, DenmarkNiels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, DenmarkThe low-energy effective field theory is constructed by integrating out Standard Model states with masses proximate to the electroweak scale. We report the equations of motion for this theory, including corrections due to higher dimensional operators up to mass dimension six. We construct the corresponding symmetry currents, and discuss how the SU(2)L×U(1)y symmetry, and global symmetries, are manifested when Standard Model states are integrated out. Including contributions from higher dimensional operators to the equations of motion modifies the interpretation of conserved currents. We discuss the corrections to the electromagnetic current as an example, showing how modifications to the equation of motion, and corresponding surface terms, have a direct interpretation in terms of multipole charge distributions that act to source gauge fields.http://www.sciencedirect.com/science/article/pii/S0370269319304678
spellingShingle Andreas Helset
Michael Trott
Equations of motion, symmetry currents and EFT below the electroweak scale
Physics Letters B
title Equations of motion, symmetry currents and EFT below the electroweak scale
title_full Equations of motion, symmetry currents and EFT below the electroweak scale
title_fullStr Equations of motion, symmetry currents and EFT below the electroweak scale
title_full_unstemmed Equations of motion, symmetry currents and EFT below the electroweak scale
title_short Equations of motion, symmetry currents and EFT below the electroweak scale
title_sort equations of motion symmetry currents and eft below the electroweak scale
url http://www.sciencedirect.com/science/article/pii/S0370269319304678
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