Journal of High Energy Physics (Mar 2019)
The study of light invisible particles in B c decays
Abstract
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 χ taking different values are presented. It is found that at some region of m χ , the channel B c → D s (*) χχ has the largest upper limit which is of the order of 10−6, and for B c → D s * χχ †, the largest value of the upper limits can achieve the order of 10−5. Other decay modes, such as B c → D (*) χχ (†) and B c → B (*) χχ (†), are also considered.
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