Cascade topologies in rare charm decays and implications for CP violation

Fuente: arXiv
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Main Author: Solomonidi, Eleftheria
Format: Preprint
Published: 2025
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author Solomonidi, Eleftheria
author_facet Solomonidi, Eleftheria
contents The CP violation observed in the hadronic decays of charmed mesons remains a puzzling open question for theorists. Calculations relying on the assumption of inelastic final-state interactions occurring between the pairs of pions and kaons fall short of the experimental value. It has been pointed out that a third channel of four pions can leave imprints on the CP asymmetries of the two-body decays. At the same time, plenty of data are available for the $4π$ decays of charmed mesons, as well as for the rare decays $D^0\toπ^+π^-\ell^+\ell^-$. With this motivation, we study the cascade topology $D^0\to a_1(1260)^+(\to ρ(770)^0π^+)\,π^-$, which has been measured to contribute significantly to the $4π$ decays, and estimate its effect on the branching ratio of the rare decays. We also explore the possibility of this topology contributing to the decay amplitude of $D^0\toπ^+π^-$ and by extension to the related CP asymmetry.
format Preprint
id arxiv_https___arxiv_org_abs_2504_01517
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cascade topologies in rare charm decays and implications for CP violation
Solomonidi, Eleftheria
High Energy Physics - Phenomenology
The CP violation observed in the hadronic decays of charmed mesons remains a puzzling open question for theorists. Calculations relying on the assumption of inelastic final-state interactions occurring between the pairs of pions and kaons fall short of the experimental value. It has been pointed out that a third channel of four pions can leave imprints on the CP asymmetries of the two-body decays. At the same time, plenty of data are available for the $4π$ decays of charmed mesons, as well as for the rare decays $D^0\toπ^+π^-\ell^+\ell^-$. With this motivation, we study the cascade topology $D^0\to a_1(1260)^+(\to ρ(770)^0π^+)\,π^-$, which has been measured to contribute significantly to the $4π$ decays, and estimate its effect on the branching ratio of the rare decays. We also explore the possibility of this topology contributing to the decay amplitude of $D^0\toπ^+π^-$ and by extension to the related CP asymmetry.
title Cascade topologies in rare charm decays and implications for CP violation
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2504.01517