We consider the exclusive Pℓ4 decays, P→(P1P2)Vℓνℓ, where the subindex V means that the invariant mass of the pseudoscalar pair is taken within a small window around the mass of the vector meson V. Pole contributions beyond the dominant P→V(→P1P2)ℓνℓ amplitude of Pℓ4 decays are identified, which, in turn, affect the determination of the CKM matrix elements |Vqq′|. We evaluate the effects of those contributions in the extraction of bottom and charm quark mixings. An application to B→(ππ)ρℓνℓ data from the Belle Collaboration shows an increase in the extracted value of |Vub| in better agreement with determinations based on B→πℓνℓ decays. The effect of the ρ and D∗ pole contributions in the determination of |Vcd| from the decay D→ππℓ-νℓ has also been investigated.
Bibliographical noteFunding Information:
G. L. C. and S. L. T. are grateful to Conacyt for financial support under Projects No. 236394, No. 250628 (Ciencia Bsica), and No. 296 (Fronteras de la Ciencia). The work of C. S. K. was supported by the NRF grant funded by the Korean government of the MEST (Grant No. 2016R1D1A1A02936965).
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)