Investigating and anomalies in a left–right model with an inverse seesaw

K. Ezzat; G. Faisel; S. Khalil

doi:10.1140/epjc/s10052-023-11901-4

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 731
https://doi.org/10.1140/epjc/s10052-023-11901-4

Regular Article - Theoretical Physics

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

K. Ezzat¹^,2, G. Faisel³^b and S. Khalil²

¹ Department of Mathematics, Faculty of Science, Ain Shams University, 11566, Cairo, Egypt
² Center for Fundamental Physics, Zewail City of Science and Technology, 6 October City, 12578, Giza, Egypt
³ Department of Physics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260, Isparta, Turkey

^b gaberfaisel@sdu.edu.tr

Received: 24 November 2022
Accepted: 4 August 2023
Published online: 17 August 2023

Abstract

We investigate $R_{D}$ $$R_D$$ and $R_{D^{*}}$ $R_{D^*}$ anomalies in a low scale left–right symmetric model based on $S U {(3)}_{C} \times S U {(2)}_{L} \times S U {(2)}_{R} \times U {(1)}_{B - L}$ $SU(3)_C\times SU(2)_L\times SU(2)_R\times U(1)_{B-L}$ with a simplified Higgs sector consisting of only one bidoublet and one $S U {(2)}_{R}$ $$SU(2)_R$$ doublet. The Wilson coefficients relevant to the transition $b \to c τ ν$ $b\rightarrow c\tau \nu$ are derived by integrating out the charged Higgs $H^{\pm}$ $H^\pm$ 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, $BR (B_{c}^{-} \to τ^{-} {\bar{ν}}_{τ})$ $\textrm{BR}(B^-_c \rightarrow \tau ^- \bar{\nu }_\tau )$ and $B_{s (d)} - {\bar{B}}_{s (d)}$ $B_{s(d)}-\bar{B}_{s(d)}$ mixing. In relation to this, we show that the predicted values of the $D^{*}$ $$D^*$$ , $τ$ $\tau$ longitudinal polarizations and $P_{τ} (D)$ $P_\tau (D)$ can be affected for the set of the parameters of the model resolving the $R_{D, D^{*}}$ $R_{D,D^*}$ anomalies.

© The Author(s) 2023

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