Theoretical analysis of the leptonic decays B →ℓℓℓ ν ¯ ℓ

Author(s)
Mikhail A. Ivanov, Dmitri Melikhov
Abstract

We study the effects of identical leptons in the final state of the B+→ℓ+ℓ-ℓ+ν¯ℓ decay. The amplitude of the process is described by the same form factors as the amplitude of the B→ℓℓℓ′ν¯ℓ′ decay for nonidentical leptons in the final state. However, the differential distributions are strongly different, as the B+→ℓ+ℓ-ℓ+ν¯ℓ amplitude contains both the direct (Ma) and exchange (Mb) diagrams. We calculate a number of the differential distributions. In particular, we propose an interesting observable that can be readily measured experimentally: the differential distribution over the invariant mass of the pair of leptons of the same charge, ℓ+ℓ+. The good news is that the interference between Ma and Mb, dBab is found to be at the level of less than 1% in all considered differential distributions and therefore can be neglected in the full kinematical region of this decay.

Organisation(s)
Particle Physics
External organisation(s)
Anuchin Research Institute and Museum of Anthropology, Universität Wien, Joint Institute for Nuclear Research
Journal
Physical Review D
Volume
105
No. of pages
8
ISSN
2470-0010
DOI
https://doi.org/10.1103/PhysRevD.105.094038
Publication date
05-2022
Peer reviewed
Yes
Austrian Fields of Science 2012
103034 Particle physics
ASJC Scopus subject areas
Physics and Astronomy (miscellaneous)
Portal url
https://ucris.univie.ac.at/portal/en/publications/theoretical-analysis-of-the-leptonic-decays-b----(d583fc75-0f84-4748-886b-956374ca973e).html