Malaphoric $Z'$ models for $b \rightarrow s \ell^+ \ell^-$ anomalies

Fuente: arXiv
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Autores principales: Allanach, Ben, Gubernari, Nico
Formato: Preprint
Publicado: 2024
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author Allanach, Ben
Gubernari, Nico
author_facet Allanach, Ben
Gubernari, Nico
contents We study some phenomenological effects of kinetic mixing between the hypercharge field and a new $U(1)$ gauge field in specific $Z^\prime$ models that ameliorate the tensions between measurements and Standard Model predictions in $b \rightarrow s\ell^+ \ell^-$ decays. To this end, we rederive the dimension-6 SMEFT coefficients resulting from integrating out the kinetically-mixed (`malaphoric') $Z^\prime$ field. The kinetic mixing provides a family-universal component to the couplings of the $Z^\prime$ field, which can improve fits to lepton flavour universality observables. We show how kinetic mixing improves the best fit of the $B_3-L_2$ model to $b\rightarrow s$ data by 7.0 units of $χ^2$ while remaining compatible with other relevant data sets such as electroweak precision observables and measurements of $e^+ e^- \rightarrow \ell^+ \ell^-$ at LEP2.
format Preprint
id arxiv_https___arxiv_org_abs_2409_06804
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Malaphoric $Z'$ models for $b \rightarrow s \ell^+ \ell^-$ anomalies
Allanach, Ben
Gubernari, Nico
High Energy Physics - Phenomenology
We study some phenomenological effects of kinetic mixing between the hypercharge field and a new $U(1)$ gauge field in specific $Z^\prime$ models that ameliorate the tensions between measurements and Standard Model predictions in $b \rightarrow s\ell^+ \ell^-$ decays. To this end, we rederive the dimension-6 SMEFT coefficients resulting from integrating out the kinetically-mixed (`malaphoric') $Z^\prime$ field. The kinetic mixing provides a family-universal component to the couplings of the $Z^\prime$ field, which can improve fits to lepton flavour universality observables. We show how kinetic mixing improves the best fit of the $B_3-L_2$ model to $b\rightarrow s$ data by 7.0 units of $χ^2$ while remaining compatible with other relevant data sets such as electroweak precision observables and measurements of $e^+ e^- \rightarrow \ell^+ \ell^-$ at LEP2.
title Malaphoric $Z'$ models for $b \rightarrow s \ell^+ \ell^-$ anomalies
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2409.06804