Unitarity bounds for semileptonic decays in lattice QCD

Carlo, Matteo Di; Martinelli, G.; Naviglio, Manuel; Sanfilippo, Francesco; Simula, Silvano; Vittorio, Ludovico

doi:10.1103/physrevd.104.054502

Cited by 40 publications

(62 citation statements)

References 62 publications

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“…The last PDG review [10] quotes for the exclusive and inclusive determinations of |V ub | the values |V ub | excl • 10 3 = 3.70 (10) exp (12) th = 3.70 (16) from B → π ν decays and…”

Section: Introductionmentioning

confidence: 99%

Exclusive semileptonic $B \to π\ell ν_\ell$ and $B_s \to K \ell ν_\ell$ decays through unitarity and lattice QCD

Martinelli,

Simula,

Vittorio

2022

Preprint

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The Cabibbo-Kobayashi-Maskawa (CKM) matrix element |V ub | is obtained from exclusive semileptonic B → π ν and B s → K ν 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 | = (3.81±1.03)•10 −3 from B s → K. These results are compatible with the most recent inclusive value |V ub | incl = 4.13 (26) • 10 −3at the 1σ level. We also present purely theoretical estimates of the ratio of the τ /µ differential decay rates R τ /µ π(K) , the normalized forward-backward asymmetry Ā ,π(K) F B and the normalized lepton polarization asymmetry Ā ,π(K) polar .

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“…The last PDG review [10] quotes for the exclusive and inclusive determinations of |V ub | the values |V ub | excl • 10 3 = 3.70 (10) exp (12) th = 3.70 (16) from B → π ν decays and…”

Section: Introductionmentioning

confidence: 99%

Exclusive semileptonic $B \to π\ell ν_\ell$ and $B_s \to K \ell ν_\ell$ decays through unitarity and lattice QCD

Martinelli,

Simula,

Vittorio

2022

Preprint

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“…In this letter we have applied the DM method [1,2] to the lattice computations of the FFs entering the semileptonic B → D * ν decays, produced recently by the FNAL/MILC Collaborations [3] at non-zero recoil. Thanks to the DM method the FFs have been extrapolated in the whole kinematical range accessible to the semileptonic decays in a completely model-independent and non-perturbative way, implementing exactly both unitarity and kinematical constraints.…”

Section: Discussionmentioning

confidence: 99%

“…To this end we adopt the DM method of Refs. [1,4] to obtain the FFs in the whole kinematical range starting from the lattice computations performed at small, but non-vanishing values of the recoil variable w. The crucial advantage of the DM approach is that the extrapolations of the FFs can be performed in a fully model-independent and nonperturbative way, since no assumption about the functional dependence of the FFs on the recoil w is made and all the theoretical inputs of the DM approach are computed on the lattice (see Refs. [2,5]).…”

Section: Introductionmentioning

confidence: 99%

“…We start from the FNAL/MILC values for the FFs (a total of 12 data points) and generate a sample of bootstrap events according to the given correlations. Then, we apply the unitarity filter of the DM method [1], which is satisfied only by a reduced number of bootstraps, namely the percentage of the surviving events is 65% in the case of the FFs f and F 1 , 14% for g and 11% for P 1 . On the subset of surviving events we recalculate the mean values, uncertainties and correlations of the FFs and we repeat both the generation of the bootstraps using the new input values and the application of the unitarity filter.…”

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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Exclusive determinations of $\vert V_{cb} \vert$ and $R(D^{*})$ through unitarity

Martinelli¹,

Simula²,

Vittorio³

2021

Preprint

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In this letter we apply the Dispersive Matrix (DM) method of Refs. [1,2] to the lattice computations of the Form Factors (FFs) entering the semileptonic B → D * ν decays, produced recently by the FNAL/MILC Collaborations [3] at small, but non-vanishing values of the recoil variable w. Thanks to the DM method we obtain the FFs in the whole kinematical range accessible to the semileptonic decays in a completely model-independent and non-perturbative way, implementing exactly both unitarity and kinematical constraints. Using our theoretical bands of the FFs we extract |V cb | from the experimental data and compute R(D * ) from theory. Our final result for |V cb | reads |V cb | = (41.3 ± 1.7) • 10 −3 , which is compatible with the most recent inclusive estimate at the 1σ level. Moreover, we obtain the pure theoretical value R(D * ) = 0.269 ± 0.008, which is compatible with the experimental world average at the ∼ 1.6σ level. THE UNITARITY BANDS OF THE FORM FACTORSWe apply the DM method to the final lattice computations of the FFs pro-

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QCD and Supercomputers

Martinelli

2023

Springer Proceedings in Physics

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The title of this talk should rather have been Lattice QCD and Supercomputers. I will introduce Lattice QCD as the fundamental tool to predict (postdict) the hadron spectrum and most of the matrix elements relevant for hadronic physics in the non-perturbative regime. Lattice calculations are used to study the dynamics of QCD at large temperature or chemical potential, the anomalous magnetic moment of the muon, $$g-$$ g - 2, the nucleon structure functions, the meson scattering amplitudes at low and intermediate energies and, last but not least, the weak matrix elements relevant in flavour physics and CP violation. In this presentation only some example particularly illustrative of the present sophistication and accuracy of lattice QCD calculations will be discussed in some detail.

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Unitarity bounds for semileptonic decays in lattice QCD

Cited by 40 publications

References 62 publications

Exclusive semileptonic $B \to π\ell ν_\ell$ and $B_s \to K \ell ν_\ell$ decays through unitarity and lattice QCD

Exclusive semileptonic $B \to π\ell ν_\ell$ and $B_s \to K \ell ν_\ell$ decays through unitarity and lattice QCD

Exclusive determinations of $\vert V_{cb} \vert$ and $R(D^{*})$ through unitarity

QCD and Supercomputers

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