Exclusive semileptonic B decays to radially excited D mesons

TL;DR

This paper investigates semileptonic B decays to radially excited D mesons using a relativistic quark model, highlighting the significant impact of 1/m_Q corrections on decay rates and branching ratios.

Contribution

It introduces a calculation of leading and subleading Isgur-Wise functions for these decays within a relativistic quark model, emphasizing the importance of 1/m_Q corrections.

Findings

1/m_Q corrections significantly increase the B-> D'e u branching ratio.

The B-> D*'e u decay is only slightly affected by these corrections.

An interplay between different corrections influences decay outcomes.

Abstract

Exclusive semileptonic B decays to radially excited charmed mesons are investigated at the first order of the heavy quark expansion. The arising leading and subleading Isgur-Wise functions are calculated in the framework of the relativistic quark model. It is found that the 1/m_Q corrections play an important role and substantially modify results. An interesting interplay between different corrections is found. As a result the branching ratio for the B-> D'e\nu decay is essentially increased by 1/m_Q corrections, while the one for B-> D*'e\nu is only slightly influenced by them.