Heavy-to-light currents at NNLO in SCET and semi-inclusive decay

Bell, Guido; Beneke, Μ.; Huber, Tobias; Li, Xin-Qiang

doi:10.1016/j.nuclphysb.2010.09.022

Cited by 42 publications

(38 citation statements)

References 71 publications

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“…For completeness let us mention that the symmetry breaking corrections to r BF ⊥ were computed to O(α s m 0 b ) and O(α 2 s m 0 b ) in [6] and [28,29] respectively. Even though the twist expansion of LCSR is not JHEP08(2016)098 a 1/m b -expansion, as first stated for B → P and B → V decays in [16] and [30], it is of interest to examine the various twist-quantities from the viewpoint of the standard heavy quark scaling prescriptions [16].…”

Section: Jhep08(2016)098mentioning

confidence: 99%

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B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

Bharucha

Straub

Zwicky

2016

J. High Energ. Phys.

521

775

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We present B q → ρ, B q → ω, B q → K * , B s → K * and B s → φ form factors from light-cone sum rules (LCSR) at O(α s ) for twist-2 and 3 and O(α 0 s ) for twist-4 with updated hadronic input parameters. Three asymptotic light-cone distribution amplitudes of twist-4 (and 5) are determined, necessary for the form factors to obey the equations of motion. It is argued that the latter constrain the uncertainty of tensor-to-vector form factor ratios thereby improving the prediction of zeros of helicity amplitudes of major importance for B → K * angular observables. We provide easy-to-use fits to the LCSR results, including the full error correlation matrix, in all modes at low q 2 as well as combined fits to LCSR and lattice results covering the entire kinematic range for B q → K * , B s → K * and B s → φ. The error correlation matrix avoids the problem of overestimating the uncertainty in phenomenological applications. Using the new form factors and recent computations of non-factorisable contributions we provide Standard Model predictions for B → K * γ as well as B → K * + − and B s → φµ + µ − at low dilepton invariant mass. Employing our B → (ρ, ω) form factor results we extract the CKM element |V ub | from the semileptonic decays B → (ρ, ω) ν and find good agreement with other exclusive determinations.

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Section: Jhep08(2016)098mentioning

confidence: 99%

“…A dictionary between the two notations is shown in table 12. 29 The definition of G v ⊥ is adapted such that A remains as in [97] and (φ , g [46,96]. The third and fourth line indicate the reference to the formal and explicit solution of the DAs.…”

Section: Jhep08(2016)098mentioning

confidence: 99%

B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

Bharucha

Straub

Zwicky

2016

J. High Energ. Phys.

521

775

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“…It is evident that the dependence of ln ν needs to be separated from the jet function, while the ln ν dependence requires to be factorized from the hard functions C T (T ) . Following [41] the distinction between the renormalization and the factorization scales can be accounted by writing…”

Section: Jhep02(2016)179mentioning

confidence: 99%

Perturbative corrections to Λ b → Λ form factors from QCD light-cone sum rules

Wang

Shen

2016

J. High Energ. Phys.

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We compute radiative corrections to Λ b → Λ from factors, at next-to-leading logarithmic accuracy, from QCD light-cone sum rules with Λ b -baryon distribution amplitudes. Employing the diagrammatic approach factorization of the vacuum-to-Λ b -baryon correlation function is justified at leading power in Λ/m b , with the aid of the method of regions. Hard functions entering the factorization formulae are identical to the corresponding matching coefficients of heavy-to-light currents from QCD onto soft-collinear effective theory. The universal jet function from integrating out the hard-collinear fluctuations exhibits richer structures compared with the one involved in the factorization expressions of the vacuum-to-B-meson correlation function. Based upon the QCD resummation improved sum rules we observe that the perturbative corrections at O(α s ) shift the Λ b → Λ from factors at large recoil significantly and the dominant contribution originates from the next-to-leading order jet function instead of the hard coefficient functions. Having at hand the sum rule predictions for the Λ b → Λ from factors we further investigate several decay observables in the electro-weak penguin Λ b → Λ + − transitions in the factorization limit (i.e., ignoring the "non-factorizable" hadronic effects which cannot be expressed in terms of the Λ b → Λ from factors), including the invariant mass distribution of the lepton pair, the forward-backward asymmetry in the dilepton system and the longitudinal polarization fraction of the leptonic sector.

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“…This expression assumes that we determined the operator ultraviolet renormalization factors Y ab from the general expression (14), using another regulator than dimensional for the infrared divergences, but then use (15) in the matching relation since the QCD side (11) is calculated with dimensional regularization as infrared regulator. In this relation we eliminate the four-flavour coupling by the D-dimensional relationα s = ξ −1 45 α s , where ξ 45 = 1 + O(α s ) is expanded as in (12).…”

Section: Theoretical Framework Matching Qcd To Scetmentioning

confidence: 99%

“…What we add, besides confirming a technically highly non-trivial calculation, is an analytic expression for the charm and bottom mass dependence arising from massive quark-loop insertions into the gluon propagator. This should be useful for the NNLO calculation of the remaining penguin amplitudes that we plan to address in a later work [14]. We also discuss the numerical impact of the two-loop correction on B → ππ, πρ, ρρ branching fractions and branching fraction ratios, updating some results of [5], which are now available with NNLO accuracy.…”

Section: Introductionmentioning

confidence: 98%

NNLO vertex corrections to non-leptonic B decays: Tree amplitudes

2010

Self Cite

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The colour-suppressed tree amplitude in non-leptonic B decays is particularly sensitive to perturbative and non-perturbative corrections. We calculate the two-loop (NNLO) vertex corrections to the colour-suppressed and colour-allowed tree amplitudes in QCD factorization. Our results are given completely analytically, including the full dependence on the charm quark mass. We then update theoretical predictions for a range of interesting observables derived from ππ, πρ and ρρ final states that do not depend (significantly) on penguin contributions, and hence are now available with NNLO accuracy. We observe good agreement with experimental data within experimental and theoretical errors, except for observables involving the π 0 π 0 branching fraction.

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Heavy-to-light currents at NNLO in SCET and semi-inclusive decay

Cited by 42 publications

References 71 publications

B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

B →Vℓ+ℓ− in the Standard Model from light-cone sum rules

Perturbative corrections to Λ b → Λ form factors from QCD light-cone sum rules

NNLO vertex corrections to non-leptonic B decays: Tree amplitudes

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