New Physics effects in charm meson decays involving $c\to u{l}^{+}{l}^{-}(l_i^{\mp }{l}_j^{\pm })$ transitions

Abstract

We study the effect of scalar leptoquark and $Z^{\prime }$ boson on the rare decays of $D$ mesons involving flavour changing transitions $c\to u{l}^{+}{l}^{-}(l_i^{\mp }{l}_j^{\pm })$. We constrain the new physics parameter space using the branching ratio of the rare decay mode $D^0\to {\mu }^{+}{\mu }^{-}$ and the $D^0-{\bar{D}}^0$ oscillation data. We compute the branching ratios, forward-backward asymmetry parameters and flat terms in $D^{+(0)}\to {\pi }^{+(0)}{\mu }^{+}{\mu }^{-}$ processes using the constrained parameters. The branching ratios of the lepton flavour violating $D$ meson decays, such as $D^0\to \mu e,\tau e$ and $D^{+(0)}\to {\pi }^{+(0)}{\mu }^{-}{e}^{+}$ are also investigated.

30 pages, 8 figures, to appear in EPJC