Light-cone sum rules for S-wave B → Kπ form factors

Descotes-Genon, S.; Khodjamirian, Alexander; Virto, Javier; Vos, Kimberley

doi:10.1007/jhep06(2023)034

Cited by 8 publications

(3 citation statements)

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“…[112] and in Ref. [113] for the B → Kπ form factors with the Kπ state, respectively in the P -and S-wave. These form factors are the most important hadronic inputs for the analysis of the FCNC B → Kπℓ + ℓ − decays.…”

Section: Obtaining Lcsrs For the B → 2π And B → Kπ Form Factorsmentioning

confidence: 98%

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The D∗Dπ and B∗Bπ couplings from light-cone sum rules

Khodjamirian

Melić

Wang

et al. 2021

J. High Energ. Phys.

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We revisit the calculation of the strong couplings D∗Dπ and B∗Bπ from the QCD light-cone sum rules using the pion light-cone distribution amplitudes. The accuracy of the correlation function, calculated from the operator product expansion near the light-cone, is upgraded by taking into account the gluon radiative corrections to the twist-3 terms. The double spectral density of the correlation function, including the twist-2, 3 terms at $$ \mathcal{O}\left({\alpha}_s\right) $$ O α s and the twist-4 LO terms, is presented in an analytical form for the first time. This form allows us to use various versions of the quark-hadron duality regions in the double dispersion relation underlying the sum rules. We predict $$ {g}_{D^{\ast } D\pi}={14.1}_{-1.2}^{+1.3} $$ g D ∗ Dπ = 14.1 − 1.2 + 1.3 and $$ {g}_{B^{\ast } B\pi}={30.0}_{-2.4}^{+2.6} $$ g B ∗ Bπ = 30.0 − 2.4 + 2.6 when the decay constants of heavy mesons entering the light-cone sum rule are taken from lattice QCD results. We compare our results with the experimental value for the charmed meson coupling and with the lattice QCD calculations.

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Section: Obtaining Lcsrs For the B → 2π And B → Kπ Form Factorsmentioning

confidence: 98%

“…Note that for the S-wave case in Ref. [113] a nontrivial data-driven representation of the Kπ scalar form factors was used in the sum rule relations, whereas in the P -wave case it was sufficient to use a simple overlap of Breit-Wigner resonances.…”

Section: Obtaining Lcsrs For the B → 2π And B → Kπ Form Factorsmentioning

confidence: 99%

The D∗Dπ and B∗Bπ couplings from light-cone sum rules

Khodjamirian

Melić

Wang

et al. 2021

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…[112] and in Ref. [113] for the B → Kπ form factors with the Kπ state, respectively in the P -and S -wave. These form factors are the most important hadronic inputs for the analysis of the FCNC B → Kπ + − decays.…”

Section: Obtaining Lcsrs For the B → 2π And B → Kπ Form Factorsmentioning

confidence: 98%

A guide to the QCD light-cone sum rules for b-quark decays

Khodjamirian,

Melić,

Wang

2023

Eur. Phys. J. Spec. Top.

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Next-to-leading order QCD corrections to the form factors of B to scalar meson decays

Han,

Lu,

Lü

et al. 2023

J. High Energ. Phys.

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We calculate the next-to-leading order QCD corrections to B to scalar meson form factors from QCD light-cone sum rules with B meson light-cone distribution amplitudes. We demonstrate that the B meson-to-vacuum correlation functions can be factorized into the convolution of short-distance coefficients and light-cone distribution amplitudes at the one-loop level and find that only $$ {\phi}_B^{+} $$ ϕ B + (ω, μ) contributes to the form factors. We then employ the z-parameterization combined with constraints from strong coupling constants to reconstruct the q2 dependence of the form factors in the whole kinematic allowed regions. Due to the large cancellations between the hard functions and the jet functions, the next-to-leading order results show a modest increase of approximately 5% compared to the leading order results. Based on the results of form factors, we predict the branching ratios of semi-leptonic B → $$ S\ell {\overline{\nu}}_{\ell } $$ S ℓ ν ¯ ℓ and B → $$ S{\nu}_{\ell }{\overline{\nu}}_{\ell } $$ S ν ℓ ν ¯ ℓ processes, as well as several angular observables, such as forward-backward asymmetries, “flat terms” and lepton polarization asymmetries. We compare these results with calculations from other methods. Experimental verification of these results is required in future experiments.

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Light-cone sum rules for S-wave B → Kπ form factors

Cited by 8 publications

References 50 publications

The D∗Dπ and B∗Bπ couplings from light-cone sum rules

The D∗Dπ and B∗Bπ couplings from light-cone sum rules

A guide to the QCD light-cone sum rules for b-quark decays

Next-to-leading order QCD corrections to the form factors of B to scalar meson decays

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