Investigating $$R_D$$ and $$R_{D^*}$$ anomalies in a left–right model with an inverse seesaw

Abstract

AbstractWe investigate $$R_D$$ R D and $$R_{D^*}$$ R D ∗ anomalies in a low scale left–right symmetric model based on $$SU(3)_C\times SU(2)_L\times SU(2)_R\times U(1)_{B-L}$$ S U ( 3 ) C × S U ( 2 ) L × S U ( 2 ) R × U ( 1 ) B - L with a simplified Higgs sector consisting of only one bidoublet and one $$SU(2)_R$$ S U ( 2 ) R doublet. The Wilson coefficients relevant to the transition $$b\rightarrow c\tau \nu $$ b → c τ ν are derived by integrating out the charged Higgs $$H^\pm $$ H ± boson, which gives the dominant contributions. We emphasize that the charged Higgs effects, with the complex right-handed quark mixing matrix, can account for both $$R_D$$ R D and $$R_{D^*}$$ R D ∗ anomalies simultaneously, while adhering to a set of significant constraints including, for instance, $$\textrm{BR}(B^-_c \rightarrow \tau ^- \bar{\nu }_\tau ) $$ BR ( B c - → τ - ν ¯ τ ) and $$B_{s(d)}-\bar{B}_{s(d)}$$ B s ( d ) - B ¯ s ( d ) mixing. In relation to this, we show that the predicted values of the $$D^*$$ D ∗ , $$\tau $$ τ longitudinal polarizations and $$P_\tau (D)$$ P τ ( D ) can be affected for the set of the parameters of the model resolving the $$R_{D,D^*}$$ R D , D ∗ anomalies.