The study of light invisible particles in $B_c$ decays

Abstract

In this paper, we study the light scalar and pseudoscalar invisible particles in the flavor changing neutral current processes of the $B_c$ meson. Effective operators are introduced to describe the couplings between quarks and light invisible particles. The Wilson coefficients are extracted from the experimental results of the $B$ and $D$ mesons, which are used to predict the upper limits of the branching fractions of the similar decay processes for the $B_c$ meson. The hadronic transition matrix element is calculated with the instantaneously approximated Bethe-Salpeter method. The upper limits of the branching fractions when $m_{\chi }$ taking different values are presented. It is found that at some region of $m_{\chi }$, the channel $B_c\to D_s^{(\ast )}\chi \chi$ has the largest upper limit which is of the order of $10^{-6}$, and for $B_c\to D_s^{\ast }\chi {\chi }^{†}$, the largest value of the upper limits can achieve the order of $10^{-5}$. Other decay modes, such as $B_c\to D^{(\ast )}\chi {\chi }^{(†)}$ and $B_c\to B^{(\ast )}\chi {\chi }^{(†)}$, are also considered.

arXiv comment24 pages, 35 figures

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