Non-perturbative determinations of B-meson decay constants and semi-leptonic form factors

Witzel, Oliver; Lizarazo, Edwin; Collaborations, Ukqcd

doi:10.22323/1.282.0558

Cited by 3 publications

(2 citation statements)

References 27 publications

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“…Finally, preliminary results on B → K * + − and B s → φ + − by RBC/UKQCD, have been reported in Refs. [605][606][607]. The decay rate for B → D ν can be parameterized in terms of vector and scalar form factors in the same way as, e.g., B → π ν, see Sect.…”

Section: Form Factors For Rare and Radiative B-semileptonic Decays To Light Flavoursmentioning

confidence: 99%

FLAG Review 2019

et al. 2020

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We review lattice results related to pion, kaon, D-meson, B-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$f+(0) arising in the semileptonic $$K \rightarrow \pi $$K→π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$fK/fπ and its consequences for the CKM matrix elements $$V_{us}$$Vus and $$V_{ud}$$Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$SU(2)L×SU(2)R and $$SU(3)_L\times SU(3)_R$$SU(3)L×SU(3)R Chiral Perturbation Theory. We review the determination of the $$B_K$$BK parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$mc and $$m_b$$mb as well as those for D- and B-meson decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $$\alpha _s$$αs. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.

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Section: Form Factors For Rare and Radiative B-semileptonic Decays To Light Flavoursmentioning

confidence: 99%

FLAG Review 2019

et al. 2020

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“…A more standard approach is to adopt the so-called narrow-width approximation, e.g., [67]. Interestingly, for the cases B → K * and B s → φ, of special interest in the context of B discrepancies, all local form factors are available, both from lattice QCD [46,48,[68][69][70][71] and with light cone sum rules [45, 65,72]. Similarly as in the case M = a pseudoscalar, the two approaches hold for large and respectively small q 2 -the region in between being narrow charmonium.…”

Section: Phenomenology Ofmentioning

confidence: 99%

B Discrepancies Hold Their Ground

Guadagnoli

2021

Symmetry

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FLAG Review 2021

Aoki

Blum²,

Colangelo³

et al. 2022

Eur. Phys. J. C

349

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We review lattice results related to pion, kaon, D-meson, B-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$ f + ( 0 ) arising in the semileptonic $$K \rightarrow \pi $$ K → π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$ f K / f π and its consequences for the CKM matrix elements $$V_{us}$$ V us and $$V_{ud}$$ V ud . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$ S U ( 2 ) L × S U ( 2 ) R and $$SU(3)_L\times SU(3)_R$$ S U ( 3 ) L × S U ( 3 ) R Chiral Perturbation Theory. We review the determination of the $$B_K$$ B K parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$ m c and $$m_b$$ m b as well as those for the decay constants, form factors, and mixing parameters of charmed and bottom mesons and baryons. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $$\alpha _s$$ α s . We consider nucleon matrix elements, and review the determinations of the axial, scalar and tensor bilinears, both isovector and flavor diagonal. Finally, in this review we have added a new section reviewing determinations of scale-setting quantities.

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Non-perturbative determinations of B-meson decay constants and semi-leptonic form factors

Cited by 3 publications

References 27 publications

FLAG Review 2019

FLAG Review 2019

B Discrepancies Hold Their Ground

FLAG Review 2021

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