Semileptonic $B_q$ decays to heavy tensor mesons

TL;DR

This paper calculates form factors for semileptonic $B_q$ decays to heavy tensor mesons using light-cone QCD sum rules, testing heavy quark symmetry and exploring implications for Standard Model and beyond.

Contribution

It provides new form factor calculations for $B_q$ semileptonic decays to tensor mesons, including corrections to heavy quark symmetry and potential extensions beyond the Standard Model.

Findings

Form factors evaluated with 3-particle contributions included.

Heavy quark limit relations tested and finite mass corrections quantified.

Decay rates and lepton flavor universality ratios presented.

Abstract

The semileptonic decays of $B_q$ mesons ($q=u,d,s$) to $J^P=2^+$ charmed mesons are investigated. The form factors parametrising the hadronic matrix elements of the weak vector and axial-vector quark currents are evaluated using light-cone QCD sum rules with external $B_q$ state, including the 3-particle contributions. The form factors of pseudoscalar and tensor quark currents occurring in extensions of the Standard Model are also determined. The relations expected in the heavy quark limit are tested and the size of finite heavy quark mass corrections are determined for the various form factors. Results are presented for the semileptonic $B_q$ to heavy tensor meson decay rates in the Standard Model, and for the ratios testing Lepton Flavour Universality.