Decoding (Pseudo)-Scalar Operators in Leptonic and Semileptonic $B$ Decays

Abstract

We consider leptonic $B^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }$ and semileptonic $\bar{B}\to \pi {\ell }^{-}{\bar{\nu }}_{\ell }$, $\bar{B}\to \rho {\ell }^{-}{\bar{\nu }}_{\ell }$ decays and present a strategy to determine short-distance coefficients of New-Physics operators and the CKM element $|V_{ub}|$. As the leptonic channels play a central role, we illustrate this method for (pseudo)-scalar operators which may lift the helicity suppression of the corresponding transition amplitudes arising in the Standard Model. Utilising a new result by the Belle collaboration for the branching ratio of $B^{-}\to {\mu }^{-}{\bar{\nu }}_{\mu }$, we explore theoretically clean constraints and correlations between New Physics coefficients for leptonic final states with $\mu$ and $\tau$ leptons. In order to obtain stronger bounds and to extract $|V_{ub}|$, we employ semileptonic $\bar{B}\to \pi {\ell }^{-}{\bar{\nu }}_{\ell }$ and $\bar{B}\to \rho {\ell }^{-}{\bar{\nu }}_{\ell }$ decays as an additional ingredient, involving hadronic form factors which are determined through QCD sum rule and lattice calculations. In addition to a detailed analysis of the constraints on the New Physics contributions following from current data, we make predictions for yet unmeasured decay observables, compare them with experimental constraints and discuss the impact of CP-violating phases of the New-Physics coefficients.

arXiv comment35 pages, 19 figures, matches published version

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Cited by in corpus (17)

• Model-independent bounds on new physics effects in non-leptonic tree-level decays of B-mesons
• Decoding (Pseudo)-Scalar Operators in Leptonic and Semileptonic $B$ Decays
• Effects of $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \upsilon }{\mathcal{T}}^{\gamma \upsilon })$ Gravity on Anisotropic Charged Compact Structures
• New Physics effects in leptonic and semileptonic decays
• Bottom-Flavored Mono-Tau Tails at the LHC
• Probing New Physics with $\bar{B}\to \rho (770){\ell }^{-}{\bar{\nu }}_{\ell }$ and $\bar{B}\to a_1(1260){\ell }^{-}{\bar{\nu }}_{\ell }$
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