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On one-loop corrections in the standard model effective field theory; the $\Gamma(h \rightarrow \gamma \, \gamma)$ case
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abstract
We calculate one loop contributions to $\Gamma(h \rightarrow \gamma \, \gamma)$ from higher dimensional operators, in the Standard Model Effective Field Theory (SMEFT). Some technical challenges related to determining Electroweak one loop "finite terms" are discussed and overcome. Although we restrict our attention to $\Gamma(h \rightarrow \gamma \, \gamma)$, several developments we report have broad implications. Firstly, the running of the vacuum expectation value modifies the $\log(\mu)$ dependence of processes in a manner that is not captured in some past SMEFT Renormalization Group (RG) calculations. Secondly, higher dimensional operators can source ghost interactions in $R_\xi$ gauges due to a modified gauge fixing procedure. Lastly, higher dimensional operators can contribute with pure finite terms at one loop in a manner that is not anticipated in a RG analysis. These results cast recent speculation on the nature of one loop corrections in the SMEFT in an entirely new light.
Forward citations
Cited by 4 Pith papers
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Electroweak and QCD Corrections to $Z$ and $W$ pole observables in the SMEFT
The complete NLO electroweak and QCD corrections to Z and W pole observables in the SMEFT shift fitted Wilson coefficient bounds by 5 to 10 percent and introduce 22 new operator dependencies.
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Electroweak precision observables at NLL order in the SMEFT
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Sensitivity to top-quark couplings in diboson production at lepton colliders
NLO EW corrections to WW production from SMEFT top operators yield competitive sensitivity at LEP3 and FCC-ee relative to ZH production and existing LEP/LHC bounds.
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