Exclusive semileptonic B → πℓν$_{ℓ}$ and B$_{s}$ → Kℓν$_{ℓ}$ decays through unitarity and lattice QCD - INSPIRE

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Exclusive semileptonic B → πℓν $_{ℓ}$ and B $_{s}$ → Kℓν $_{ℓ}$ decays through unitarity and lattice QCD

Guido Martinelli
(
- Rome U. and
- INFN, Rome
)
,
Silvano Simula
(
- INFN, Rome3
)
,
Ludovico Vittorio
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)

Feb 21, 2022

46 pages

Published in:

JHEP 08 (2022) 022

Published: Aug 2, 2022

e-Print:

2202.10285 [hep-ph]

DOI:

10.1007/JHEP08(2022)022

View in:

ADS Abstract Service

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Abstract: (Springer)

The Cabibbo-Kobayashi-Maskawa (CKM) matrix element ∣V

_{ub}

∣ is obtained from exclusive semileptonic B → πℓν

_{ℓ}

and B

_{s}

→ Kℓν

_{ℓ}

decays adopting the unitarity-based dispersion matrix approach for the determination of the hadronic form factors (FFs) in the whole kinematical range. We use lattice computations of the relevant susceptibilities and of the FFs in the large-q

^{2}

regime in order to derive their behavior in the low-q

^{2}

region without assuming any specific momentum dependence and without constraining their shape using experimental data. Then, we address the extraction of |V

_{ub}

| from the experimental data, obtaining |V

_{ub}

| = (3.62 ± 0.47) · 10

^{−3}

from B → π and |V

_{ub}

| = (3.77 ± 0.48) · 10

^{−3}

from B

_{s}

→ K, which after averaging yield |V

_{ub}

| = (3.69 ± 0.34) · 10

^{−3}

. These results are compatible with the most recent inclusive value |V

_{ub}

|

_{incl}

= 4.13 (26) · 10

^{−3}

at the 1σ level. We also present purely theoretical estimates of the ratio of the τ/μ decay rates

{R}_{\pi (K)}^{\tau /\mu }

, the normalized forward-backward asymmetry

{\overline{\mathcal{A}}}_{FB}^{\ell, \pi (K)}

and the normalized lepton polarization asymmetry

{\overline{\mathcal{A}}}_{\mathrm{polar}}^{\ell, \pi (K)}

.

Note:

46 pages, 9 figures, 9 tables. Version improved by the referee's suggestions. Conclusions unchanged. To appear in JHEP. arXiv admin note: text overlap with arXiv:2105.07851

Bottom Quarks
CKM Parameters
Lepton Flavour Violation (charged)
Semi-Leptonic Decays
angular distribution: asymmetry
form factor: hadronic
lepton: polarization: asymmetry
susceptibility
lattice field theory
unitarity

References(60)

Figures(9)

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