New physics effects in charm meson decays involving $$c \rightarrow u l^+ l^- (l_i^{\mp } l_j^{\,\pm \,})$$ c → u l + l - ( l i ∓ l j ± ) transitions

Abstract

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