<math display="inline"><mrow><mi>B</mi><mo stretchy="false">→</mo><msup><mrow><mi>D</mi></mrow><mrow><mo>*</mo></mrow></msup><mo>ℓ</mo><msub><mrow><mi>ν</mi></mrow><mrow><mo>ℓ</mo></mrow></msub></mrow></math> semileptonic form factors from lattice QCD with Möbius domain-wall quarks - INSPIRE

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$B \to D^{*} ℓ ν_{ℓ}$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks

JLQCD

Collaboration

•

Y. Aoki
(
- RIKEN AICS, Kobe
)

Jun 8, 2023

45 pages

Published in:

Phys.Rev.D 109 (2024) 7, 074503

Published: Apr 1, 2024

e-Print:

2306.05657 [hep-lat]

DOI:

10.1103/PhysRevD.109.074503 (publication)

Report number:

KEK-CP-393,
OU-HET-1186

Experiments:

LATTICE-JLQCD

View in:

reference search60 citations

Citations per year

Abstract: (APS)

We calculate the form factors for the

B \to D^{*} ℓ ν_{ℓ}

decay in

2 + 1

flavor lattice QCD. For all quark flavors, we employ the Möbius domain-wall action, which preserves chiral symmetry to a good precision. Our gauge ensembles are generated at three lattice cutoffs

a^{- 1} \sim 2.5

, 3.6, and 4.5 GeV with pion masses as low as

M_{π} \sim 230 MeV

. The physical lattice size

L

satisfies the condition

M_{π} L \geq 4

to control finite volume effects (FVEs), while we simulate a smaller size at the smallest

M_{π}

to directly examine FVEs. The bottom quark masses are chosen in a range from the physical charm quark mass to

0.7 a^{- 1}

to control discretization effects. We extrapolate the form factors to the continuum limit and physical quark masses based on heavy meson chiral perturbation theory at next-to-leading order. Then the recoil parameter dependence is parametrized using a model independent form leading to our estimate of the decay rate ratio between the tau (

ℓ = τ

) and light lepton (

ℓ = e

,

μ

) channels

R (D^{*}) = 0.252 (22)

in the Standard Model. A simultaneous fit with recent data from the Belle experiment yields

| V_{c b} | = 39.19 (91) \times 10^{- 3}

, which is consistent with previous exclusive determinations, and shows good consistency in the kinematical distribution of the differential decay rate between the lattice and experimental data.

Note:

45 pages, 19 figures; v2: version published in PRD

quark: mass
flavor: 3
meson: heavy
perturbation theory: chiral
finite size: effect
decay rate: ratio
quark: domain wall
quark: flavor
higher-order: 1
symmetry: chiral

References(84)

Figures(47)

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(
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)

et al.

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[19]

Semileptonic form factors for $B\rightarrow D^*\ell \nu$ at nonzero recoil from $2+1$ -flavor lattice QCD: Fermilab Lattice and MILC Collaborations

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