Speaker
Description
This talk presents study cases of the decay and production of hadrons with $c$-quark content from the point of view of effective field theories. A theoretical review of the $D^{+}_S\rightarrow K^+K^-K^+$ and $B\rightarrow H(c\bar{c})\;X$ decays is shown. The $D^{+}_S\rightarrow 3K$ $W$-radiation topology, also known as external $W$-emission, is introduced and visualized using Dalitz plots. Then, the talk continues with a review of non-relativistic quantum chromodynamics (NRQCD) factorization for charmonium production to finish with a fitting of the long-distance matrix elements (LDMEs) present in the inclusive decay rate of $B$ mesons into $\chi_{c}$ states, employing literature results at next to leading order (NLO) in QCD and theoretical uncertainties management. The resulting amplitude for the $D^{+}_S\rightarrow 3K$ decay coincides with the decay channel phenomenological knowledge, by the presence of the tail of $f_0(980)$ at the beginning of the phase space and the dominance of the $\phi(1020)$ resonant structures. Additionally, the model implemented has the freedom to be adjusted with future fittings. For the $B\rightarrow H(c\bar{c})\;X$ decay is performed a fitting on the LDMEs present in $\chi_{c}$ states production using the experimental value of their branching fractions. A similar procedure is performed with the ratio of the branching fractions, however, a proper way of constraining the experimental data and handling the theoretical predictions is still needed. This talk is based on the eponymous master's thesis disserted in January 2024 at the Universidad Nacional de Colombia.
