<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:mi>K</mml:mi></mml:math>form factors: An update of light-cone sum rule results

Duplančić, Goran; Melić, Blaženka

doi:10.1103/physrevd.78.054015

Cited by 79 publications

(106 citation statements)

References 42 publications

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“…Comparing our results in table 2 with the earlier LCSR calculation [6] of the B → K and B s → K form factors, we emphasize that, albeit the numerical results look close to ours, there are differences in the subleading twist-3,4 terms. We follow ref.…”

Section: Numerical Resultssupporting

confidence: 85%

“…[18] where these terms have already been discussed and corrected. Also, as compared to [6], we use slightly different B (s) decay constants and twist-3 normalization parameter µ K .…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The violation of the SU(3) f l symmetry in B s → K with respect to B → π transition emerges in LCSRs due to the s-quark mass effects in the correlation function, including the asymmetry between the sand {u, d}-partons in the kaon DAs. Earlier LCSR results on the B s → K form factors can be found in [6], where the NLO corrections to the correlation function computed in [7] were taken into account. In this paper we update the LCSRs for f + BsK (q 2 ) and also for the tensor form factor f T BsK (q 2 ).…”

Section: Introductionmentioning

confidence: 99%

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B s → Kℓν ℓ and B (s) → π(K)ℓ + ℓ − decays at large recoil and CKM matrix elements

Khodjamirian

Rusov

2017

J. High Energ. Phys.

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We provide hadronic input for the B-meson semileptonic transitions to a light pseudoscalar meson at large recoil. The B s → K form factor calculated from QCD lightcone sum rule is updated, to be used for a |V ub | determination from the B s → K ν width. Furthermore, we calculate the hadronic input for the binned observables of B → π + − and B → K + − . In addition to the form factors, the nonlocal hadronic matrix elements are obtained, combining QCD factorization and light-cone sum rules with hadronic dispersion relations. We emphasize that, due to nonlocal effects, the ratio of branching fractions of these decays is not sufficient for an accurate extraction of the |V td /V ts | ratio. Instead, we suggest to determine the Wolfenstein parameters A, ρ, η of the CKM matrix, combining the branching fractions of B → K + − and B → π + − with the direct CP -asymmetry in the latter decay. We also obtain the hadronic matrix elements for a yet unexplored channel B s → K + − .

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Section: Numerical Resultssupporting

confidence: 85%

“…[18] where these terms have already been discussed and corrected. Also, as compared to [6], we use slightly different B (s) decay constants and twist-3 normalization parameter µ K .…”

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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B s → Kℓν ℓ and B (s) → π(K)ℓ + ℓ − decays at large recoil and CKM matrix elements

Khodjamirian

Rusov

2017

J. High Energ. Phys.

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“…The central value is higher, however, than the one obtained from the FNAL/MILC calculation so the tension between our result and the determination from inclusive B → X u ν decay is less, only about 2σ. Figure 23, bottom, compares our B s → K ν formfactor determinations with the theoretical calculation by the HPQCD Collaboration using (2+1)-flavor lattice QCD with staggered light quarks and NRQCD b quarks [30], as well as with predictions at q 2 = 0 from the light-cone sum rules [73], NLO perturbative QCD [74] and the relativistic quark model (RQM) [75]. The lattice results agree in the range of simulated lattice data, and have similar precision, but diverge slightly when extrapolated to lower q 2 .…”

Section: Results and Conclusionmentioning

confidence: 99%

B→πℓνandBs→Kℓνform factors and
Flynn
¹
,
Izubuchi
²
,
Kawanai
³

et al. 2015
Phys. Rev. D

160

265

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We calculate the form factors for B → π ν and Bs → K ν decay in dynamical lattice Quantum Chromodynamics (QCD) using domain-wall light quarks and relativistic b-quarks. We use the (2+1)-flavor gauge-field ensembles generated by the RBC and UKQCD collaborations with the domain-wall fermion action and Iwasaki gauge action. For the b quarks we use the anisotropic clover action with a relativistic heavy-quark interpretation. We analyze data at two lattice spacings of a ≈ 0.11, 0.086 fm with unitary pion masses as light as Mπ ≈ 290 MeV. We simultaneously extrapolate our numerical results to the physical light-quark masses and to the continuum and interpolate in the pion/kaon energy using SU(2) "hard-pion" chiral perturbation theory for heavy-light meson form factors. We provide complete systematic error budgets for the vector and scalar form factors f+(q 2 ) and f0(q 2 ) for both B → π ν and Bs → K ν at three momenta that span the q 2 range accessible in our numerical simulations. Next we extrapolate these results to q 2 = 0 using a model-independent z-parameterization based on analyticity and unitarity. We present our final results for f+(q 2 ) and f0(q 2 ) as the coefficients of the series in z and the matrix of correlations between them; this provides a parameterization of the form factors valid over the entire allowed kinematic range. Our results agree with other three-flavor lattice-QCD determinations using staggered light quarks, and have comparable precision, thereby providing important independent cross checks. Both B → π ν and Bs → K ν decays enable determinations of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element |V ub |. To illustrate this, we perform a combined z-fit of our numerical B → π ν form-factor data with the experimental measurements of the branching fraction from BaBar and Belle leaving the relative normalization as a free parameter; we obtain |V ub | = 3.61(32) × 10 −3 , where the error includes statistical and all systematic uncertainties. The same approach can be applied to the decay Bs → K ν to provide an alternative determination of |V ub | once the process has been measured experimentally. Finally, in anticipation of future experimental measurements, we make predictions for B → π ν and Bs → K ν differential branching fractions and forward-backward asymmetries in the Standard Model.

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“…For our analysis, we take the results from light cone QCD sum rules (LCSR), which are typically calculated at q 2 = 0. The relevant form factors are f + B→π (0) = 0.252 +0.019 −0.028 [36], f + B→K (0) = 0.34 +0.05 −0.02 [37] and f + Bs→K (0) = 0.30 +0.04 −0.03 [38], where the first two describe transitions for both the B 0 d and the B + mesons. The q 2 dependence of these form factors is parametrised by means of the BGL method described in ref.…”

Section: Jhep03(2015)145mentioning

confidence: 99%

A roadmap to control penguin effects in B d 0 → J/ψK S 0 and B s 0 → J/ψϕ

Bruyn

Fleischer

2015

J. High Energ. Phys.

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The theoretical interpretation of the corresponding observables is limited by uncertainties from doubly Cabibbo-suppressed penguin topologies. With continuously increasing experimental precision, it is mandatory to get a handle on these contributions, which cannot be calculated reliably in QCD. In the case of the measurement of sin 2β from B 0 d → J/ψK 0 S , the U -spinrelated decay B 0 s → J/ψK 0 S offers a tool to control the penguin effects. As the required measurements are not yet available, we use data for decays with similar dynamics and the SU(3) flavour symmetry to constrain the size of the expected penguin corrections. We predict the CP asymmetries of B 0 s → J/ψK 0 S and present a scenario to fully exploit the physics potential of this decay, emphasising also the determination of hadronic parameters and their comparison with theory. In the case of the benchmark mode B 0 s → J/ψφ used to determine the B 0 s -B 0 s mixing phase φ s the penguin effects can be controlled through B 0 d → J/ψρ 0 and B 0 s → J/ψK * 0 decays. The LHCb collaboration has recently presented pioneering results on this topic. We analyse their implications and present a roadmap for controlling the penguin effects.

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B,Bs→Kform factors: An update of light-cone sum rule results

Cited by 79 publications

References 42 publications

B s → Kℓν ℓ and B (s) → π(K)ℓ + ℓ − decays at large recoil and CKM matrix elements

B s → Kℓν ℓ and B (s) → π(K)ℓ + ℓ − decays at large recoil and CKM matrix elements

B→πℓνandBs→Kℓνform factors and
Flynn
¹
,
Izubuchi
²
,
Kawanai
³

et al. 2015
Phys. Rev. D

A roadmap to control penguin effects in B d 0 → J/ψK S 0 and B s 0 → J/ψϕ

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B,Bs→Kform factors: An update of light-cone sum rule results

Cited by 79 publications

References 42 publications

B s → Kℓν ℓ and B (s) → π(K)ℓ + ℓ − decays at large recoil and CKM matrix elements

B s → Kℓν ℓ and B (s) → π(K)ℓ + ℓ − decays at large recoil and CKM matrix elements

B→πℓνandBs→Kℓνform factors andFlynn1, Izubuchi2, Kawanai3 et al. 2015Phys. Rev. D

A roadmap to control penguin effects in B d 0 → J/ψK S 0 and B s 0 → J/ψϕ

Contact Info

Product

Resources

About

B→πℓνandBs→Kℓνform factors and
Flynn
¹
,
Izubuchi
²
,
Kawanai
³

et al. 2015
Phys. Rev. D