$C$ and $CP$ violation in effective field theories and applications to $η$-meson decays

Fuente: arXiv
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Autor principal: Kubis, Bastian
Formato: Preprint
Publicado: 2025
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author Kubis, Bastian
author_facet Kubis, Bastian
contents The quest for sources of the simultaneous violation of $C$ and $CP$ symmetry was popular in the 1960s, but has since been neglected for a long time. We revisit the operators that break $C$ and $CP$ for flavor-conserving transitions in both the Standard Model effective field theory and the low-energy effective field theory, which subsequently can be matched to light-meson physics using chiral perturbation theory. As applications, we discuss in particular the $C$-odd Dalitz plot asymmetries in $η\to3π$, but also decays with dilepton pairs in the final state, such as long-distance contributions to the rare semileptonic decays $η\toπ^0\ell^+\ell^-$ as well as asymmetries in $η^{(\prime)} \to γ\ell^+\ell^-$ and $η^{(\prime)} \to π^+π^-\ell^+\ell^-$.
format Preprint
id arxiv_https___arxiv_org_abs_2504_07539
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $C$ and $CP$ violation in effective field theories and applications to $η$-meson decays
Kubis, Bastian
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Theory
The quest for sources of the simultaneous violation of $C$ and $CP$ symmetry was popular in the 1960s, but has since been neglected for a long time. We revisit the operators that break $C$ and $CP$ for flavor-conserving transitions in both the Standard Model effective field theory and the low-energy effective field theory, which subsequently can be matched to light-meson physics using chiral perturbation theory. As applications, we discuss in particular the $C$-odd Dalitz plot asymmetries in $η\to3π$, but also decays with dilepton pairs in the final state, such as long-distance contributions to the rare semileptonic decays $η\toπ^0\ell^+\ell^-$ as well as asymmetries in $η^{(\prime)} \to γ\ell^+\ell^-$ and $η^{(\prime)} \to π^+π^-\ell^+\ell^-$.
title $C$ and $CP$ violation in effective field theories and applications to $η$-meson decays
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Theory
url https://arxiv.org/abs/2504.07539