Exclusive semileptonic 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:mi>K</mml:mi><mml:mo>ℓ</mml:mo><mml:mi>ν</mml:mi></mml:math>
 decays on the lattice

Flynn, Jonathan M.; Hill, Ryan C.; Jüttner, Andreas; Soni, Amarjit; Tsang, Justus Tobias; Witzel, Oliver

doi:10.1103/physrevd.107.114512

Cited by 7 publications

(4 citation statements)

References 130 publications

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“…Results for B → π ν form factors covering part of the kinematic range exist from JLQCD [71] (JLQCD22), RBC/UKQCD [72] (RBCUKQCD15) and Fermilab/MILC [73] (FNALMILC15). 6 For B s → K ν, results from RBC/UKQCD [76] (superseding Ref. [72]), FNAL/MILC [77], and HPQCD [78] exist.…”

Section: Tree-level B (S) → Ps Decaysmentioning

confidence: 99%

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B-physics from lattice gauge theory

Tsang,

Della Morte

2023

Eur. Phys. J. Spec. Top.

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We discuss the main issues in dealing with heavy quarks on the lattice and shortly present the different approaches used. We discuss a selection of computations covering first the b-quark mass and the $$B_{(s)}$$ B ( s ) meson decay constants as the consolidated results (neglecting isospin breaking corrections). In the second part, we consider recent calculations of form factors for tree-level semileptonic decays with emphasis on the tensions between the results produced by different collaborations. We propose benchmark quantities and tests suited to investigate the origin of such tensions. Finally, we review computations of the bag parameters parameterising neutral meson mixing and provide an overview on a few recent developments in the field.

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Section: Tree-level B (S) → Ps Decaysmentioning

confidence: 99%

“…The result by HPQCD[75] uses gauge field configurations which are also part of FNAL/MILC15 calculation but span a smaller range in the key parameters such as the lattice spacing and pion masses 7. The FLAG report does not yet include the recent RBC/UKQCD23[76] result.…”

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confidence: 99%

B-physics from lattice gauge theory

Tsang,

Della Morte

2023

Eur. Phys. J. Spec. Top.

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“…[3,4] and ii) the chiral extrapolation may be better controlled without the valence pions. The relevant form factors have been, therefore, calculated by several groups [5][6][7][8][9] using bottom quark actions based on effective theories. However, recent LHCb measurement of 𝐵 0 𝑠 → 𝐾 − 𝜇 + 𝜈 𝜇 and their analysis together with 𝐵 0 𝑠 → 𝐷 − 𝑠 𝜇 + 𝜈 𝜇 obtained inconsistent results for |𝑉 𝑢𝑏 |/|𝑉 𝑐𝑏 | depending on the form factor inputs, namely those from lattice QCD and light-cone sum rule [10].…”

Section: Introductionmentioning

confidence: 99%

$B_s \to K\ell\nu$ form factors from lattice QCD with domain-wall heavy quarks.

Mohanta,

Kaneko,

Hashimoto

2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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We report on our on-going study of the 𝐵 𝑠 → 𝐾ℓ𝜈 decay in 𝑁 𝑓 = 2 + 1 lattice QCD. We employ fully relativistic setup in which the Möbius domain-wall action is used for all quark flavors. The lattice cutoff is 𝑎 −1 ∼ 2.5 GeV, where we take bottom quark masses up to 𝑚 𝑄 < 0.7𝑎 −1 in order to control discretization errors. We present preliminary results for the relevant form factors extracted from correlator ratios by inspecting their ground state saturation.

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“…effective field theories (EFTs), in one way or the other [3]. Also so-called relativistic computations constrain the quark mass dependence of heavy-light observables to forms motivated by an expansion in 1/m b [4][5][6][7][8][9][10][11][12]. It is important to reduce the number and importance of assumptions made in the EFT treatment to a minimum.…”

Section: Introductionmentioning

confidence: 99%

A strategy for B-physics observables in the continuum limit

Sommer,

Conigli,

Frison

et al. 2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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In a somewhat forgotten paper [1] it was shown how to perform interpolations between relativistic and static computations in order to obtain results for heavy-light observables for masses from, say, m charm to m bottom . All quantities are first continuum extrapolated and then interpolated in 1/m h = 1/m heavy . Large volume computations are combined with finite volume ones where a relativistic bottom quark is accessible with small am bottom . We discuss how this strategy is extended to semi-leptonic form factors and other quantities of phenomenological interest. The essential point is to form quantities where the limit m h → ∞ is approached with power corrections O(1/m h ) only. Perturbative corrections ∼ α s (m h ) γ+n are cancelled in the construction of the observables. We also point out how such an approach can help to control systematics in semileptonic decays with just large volume data. First numerical results with N f = 2 + 1 and lattice spacings down to 0.039 fm are presented in [2].

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Exclusive semileptonic Bs→Kℓν decays on the lattice

Cited by 7 publications

References 130 publications

B-physics from lattice gauge theory

B-physics from lattice gauge theory

$B_s \to K\ell\nu$ form factors from lattice QCD with domain-wall heavy quarks.

A strategy for B-physics observables in the continuum limit

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