Charmless non-leptonic B decays

Virto, Javier

doi:10.22323/1.280.0007

Cited by 13 publications

(15 citation statements)

References 96 publications

(140 reference statements)

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“…[7] in terms of B-meson DAs, and complementary to the derivations from dispersion theory [10], and to the calculations at large k 2 [11]. The form factor F t obtained here, while not contributing to the semileptonic B → ππ ν rate in the massless lepton approximation, plays an important role in the factorization formula for nonleptonic B → πππ decays [12][13][14]. Further improvements of the sum rules presented here and in Refs.…”

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confidence: 64%

Timelike-helicity B→ππ form factor from light-cone sum rules with dipion distribution amplitudes

2017

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We complete the set of QCD light-cone sum rules for B → ππ transition form factors, deriving a new sum rule for the timelike-helicity form factor F t in terms of dipion distribution amplitudes. This sum rule, in the leading twist-two approximation, is directly related to the pion vector form factor. Employing a relation between F t and other B → ππ form factors, we obtain also the longitudinal-helicity form factor F 0 . In this way, all four (axial-)vector B → ππ form factors are predicted from light-cone sum rules with dipion distribution amplitudes. These results are valid for small dipion masses with large momentum.

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confidence: 64%

Timelike-helicity B→ππ form factor from light-cone sum rules with dipion distribution amplitudes

2017

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“…Updating the input parameters to the ones quoted at the beginning of this section (but still keeping M 2 = 1.0 GeV 2 fixed), we find a ∼ 10% enhancement in the central values, due mostly to the change in the numerical input for the B-meson decay constant: f B = 180 MeV → 207 MeV (second row of Table 1). Performing a gaussian scan over the 6 The form factor A Bρ 0 was not calculated in Ref. [12].…”

Section: Finite-width Effects In B → ρ Form Factorsmentioning

confidence: 99%

“…[1,2]), which may provide a competitive determination of the CKM parameter |V ub | [3] if an accurate knowledge of the form factors can be assessed. The B → ππ form factors are also an essential hadronic input to the rare flavor-changing neutral-current decay B → ππ + − [4] and to nonleptonic three-body B decays such as B → πππ [5,6].…”

Section: Introductionmentioning

confidence: 99%

B →ππ form factors from light-cone sum rules with B-meson distribution amplitudes

Cheng

Khodjamirian

Virto

2017

J. High Energ. Phys.

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We study B → ππ form factors using QCD light-cone sum rules with B-meson distribution amplitudes. These form factors describe the semileptonic decay B → ππ ν , and constitute an essential input in B → ππ + − and B → πππ decays. We employ the correlation functions where a dipion isospin-one state is interpolated by the vector light-quark current. We obtain sum rules where convolutions of the P -waveB 0 → π + π 0 form factors with the timelike pion vector form factor are related to universal B-meson distribution amplitudes. These sum rules are valid in the kinematic regime where the dipion state has a large energy and a low invariant mass, and reproduce analytically the known light-cone sum rules for B → ρ form factors in the limit of ρ-dominance and zero width, thus providing a systematics for so far unaccounted corrections to B → ρ transitions. Using data for the pion vector form factor, we estimate finite-width effects and the contribution of excited ρ-resonances to the B → ππ form factors. We find that these contributions amount up to ∼ 20% in the small dipion mass region where they can be effectively regarded as a nonresonant (P -wave) background to the B → ρ transition.

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“…While we will focus on the application to the semileptonic flavour-changing neutral-current decays, this is not the only case to which the results of this article apply. Analogously to nonleptonic decays of the type B → K * M where factorization in the heavy-quark limit reduces the amplitudes to simpler objects including B → K * form factors [28,29], the three body non-leptonic decays such as B → Kππ are also reducible to B → Kπ form factors in certain regions of phase space [30][31][32]. Thus the results in this are also needed to compute predictions for non-leptonic three-body decays.…”

Section: Introductionmentioning

confidence: 99%

Light-cone sum rules for B → K π form factors and applications to rare decays

Descotes-Genon

Khodjamirian

Virto

2019

J. High Energ. Phys.

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We derive a set of light-cone sum rules relating the hadronic form factors relevant for B → Kπ + − decays to the B-meson light-cone distribution amplitudes (LCDAs). We obtain the sum rule relations for all B → Kπ form factors of (axial)vector and (pseudo)tensor b → s currents with a P -wave Kπ system. Our results reduce to the known light-cone sum rules for B → K * form factors in the limit of a single narrow-width resonance. We update the operator-product expansion for the underlying correlation function by including a more complete set of B-meson LCDAs with higher twists, and produce numerical results for all B → K * form factors in the narrow-width limit. We then use the new sum rules to estimate the effect of a non-vanishing K * width in B → K * transitions, and find that this effect is universal and increases the factorizable part of the rate of B → K * X decays by a factor of 20%. This effect, by itself, goes in the direction of increasing the current tension in the differential B → K * µµ branching fractions. We also discuss B → Kπ transitions outside the K * window, and explain how measurements of B → Kπ observables above the K * region can be used to further constrain the B → K * form factors.

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Charmless non-leptonic B decays

Abstract: We review the theoretical and phenomenological status of two-and three-body charmless nonleptonic B decays, with an emphasis on factorization approaches.Flavor Physics and CP Violation,

Cited by 13 publications

References 96 publications

Timelike-helicity B→ππ form factor from light-cone sum rules with dipion distribution amplitudes

Timelike-helicity B→ππ form factor from light-cone sum rules with dipion distribution amplitudes

B →ππ form factors from light-cone sum rules with B-meson distribution amplitudes

Light-cone sum rules for B → K π form factors and applications to rare decays

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