New physics contributions to moments of inclusive b → c semileptonic decays

Inclusive semileptonic B →$ {X}_c\ell {\overline{\nu}}_{\ell } $ decays, where ℓ = μ, e, are by now standard candles in the determination of the CKM element |V$_{cb}$|. These determinations rely on the heavy-quark expansion and use moments of decay spectra to extract the non-perturbative parameters directly from data under the standard model assumption.At the same time, new physics could influence the moments of the inclusive decay. In this paper, we compute power-corrections and next-to-leading order corrections in the strong coupling constant using the full basis of dimension-six new physics operators for the inclusive B →$ {X}_c\ell \overline{\nu} $ decay. We provide predictions for lepton energy, hadronic and leptonic invariant mass moments, and perform a phenomenological study to show the possible impact of new physics. Our results could be used to perform a global fit including new physics contributions.