New physics in inclusive $B\to X_c\ell \bar{\nu }$ decay in light of $R(D^{(\ast )})$ measurements

Abstract

In this work we study the effects of new-physics (NP) operators with different Lorentz structures on the inclusive $B\to X_c\tau \bar{\nu }$ decay and make predictions for the ratio of total decay rates $R(X_c)=\frac{\Gamma (B\to X_c\tau {\bar{\nu }}_{\tau })}{\Gamma (B\to X_c\ell {\bar{\nu }}_{\ell })}$ with $\ell =e,\mu$, the differential decay rates, $\frac{d\Gamma }{d{q}^2}$ and $\frac{d\Gamma }{d{E}_{\tau }}$, forward-backward asymmetry $A_{FB}$ and the ratio of the differential decay rates $B(q^2)=\frac{d\Gamma (B\to X_c\tau {\bar{\nu }}_{\tau })/d{q}^2}{d\Gamma (B\to X_c\ell {\bar{\nu }}_{\ell })/d{q}^2}$. In addition, we introduce some leptoquark models as explicit models of the NP operators and study their effects on the inclusive decay. We consider $\mathcal{O}({\alpha }_s)$ radiative and $1/m_b$ nonperturbative corrections to the Standard Model (SM) decay rate and ignore their small effects in the NP contributions.

29 pages, 59 figures

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• $b\to c\tau {\nu }_{\tau }$ Decays: A Catalogue to Compare, Constrain, and Correlate New Physics Effects
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• Leptoquarks in Oblique Corrections and Higgs Signal Strength: Status and Prospects
• Complete Lagrangian and Set of Feynman Rules for Scalar Leptoquarks
• Correlating Tauonic B Decays to the Neutron EDM via a Scalar Leptoquark
• Inclusive semileptonic ${\Lambda }_b$ decays in the Standard Model and beyond
• The Forward-Backward Asymmetry in $B\to D^{\ast }\ell \nu$: One more hint for Scalar Leptoquarks?
• A Measurable Angular Distribution for $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$ Decays
• New physics in inclusive semileptonic $B$ decays including nonperturbative corrections
• Addendum to: Combined Constraints on First Generation Leptoquarks
• Probing New Physics in light of recent developments in $b\to c\ell \nu$ transitions
• Rare decay $t\to c\gamma \gamma$ via scalar leptoquark doublets
• Probing New Physics with heavy hadron decays