Decay<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mi>ℓ</mml:mi><mml:mi>ν</mml:mi></mml:math>in heavy quark effective theory

Burdman, Gustavo; Ligeti, Zoltan; Neubert, Matthias; Nir, Yosef

doi:10.1103/physrevd.49.2331

Cited by 88 publications

(119 citation statements)

References 66 publications

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“…At q 2 = 0 there exists a constraint, f + (0) = f 0 (0). A convenient alternative parametrisation when working with heavy quarks is in terms of the heavy quark velocity, v µ = p µ B /m B , such that [5],…”

Section: Form Factorsmentioning

confidence: 99%

B → πlv with Möbius Domain Wall Fermions

2018

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Abstract. We report on the status of our calculation of the exclusive semileptonic decay, B → π ν; a key process in the determination of the CKM matrix element |V ub |. The Möbius domain wall action is used for both light and heavy quarks on gauge ensembles that include the effects of 2 + 1 flavours of quarks in the sea at three values of the lattice spacing: a ≈ 0.08 fm, a ≈ 0.055 fm, and a ≈ 0.044 fm. Pion masses go down to 300 MeV while heavy quarks masses are as large as 2.44m c . We present preliminary results of form factors from this process, showing dependence on momentum transfer, lattice spacing, and the heavy quark mass.

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Section: Form Factorsmentioning

confidence: 99%

B → πlv with Möbius Domain Wall Fermions

2018

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“…m M , m P (V ) are the heavy and light pseudoscalar (vector) meson masses, respectively. In HQEFT, the leading order matrix elements in the 1/m Q expansion can be simply expressed as the following trace formulae [22][23][24][25] …”

Section: Wave Functions and Light Cone Sum Rulesmentioning

confidence: 99%

“…Since the heavy meson B (s) or D (s) contains one heavy quark and one light quark, it is expected that the heavy quark symmetry (HQS) and the effective field theory of heavy quark may help to improve our understanding on heavy to light decays. Recently, some work has been done in this direction [22][23][24][25]. In particular, in Refs.…”

Section: Introductionmentioning

confidence: 99%

Heavy to light meson exclusive semileptonic decays in effective field theory of heavy quarks

Wang

Zhong

2003

Phys. Rev. D

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We present a general study on exclusive semileptonic decays of heavy (B, D, B s ) to light (π, ρ, K, K * ) mesons in the framework of effective field theory of heavy quark. Transition matrix elements of these decays can be systematically characterized by a set of wave functions which are independent of the heavy quark mass except for the implicit scale dependence. Form factors for all these decays are calculated consistently within the effective theory framework using the light cone sum rule method at the leading order of 1/m Q expansion. The branching ratios of these decays are evaluated, and the heavy and light flavor symmetry breaking effects are investigated. We also give comparison of our results and the predictions from other approaches, among which are the relations proposed recently in the framework of large energy effective theory.

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“…This paper is organized as follows. In the next section we briefly review the definition of the HQET motivated form factors f 1,2 (v · k π ) of Burdman et al [12] and their relation to the conventional form factors. We summarize the definition of the NRQCD action in Section III, and discuss matching of the heavy-light vector current on the lattice with that in the continuum in Section IV.…”

Section: Introductionmentioning

confidence: 99%

“…In the application of the HQET to the B → πlν decay, it is more natural to work with the form factors f 1 (v · k π ) and f 2 (v · k π ) [12], where v µ is a heavy quark velocity and k µ π is a four-momentum of pion, rather than the conventional f + (q 2 ) and f 0 (q 2 ). This is because the argument v · k π , which is the energy of the pion in B meson rest frame, is well-defined in the limit of infinitely heavy quark mass, and the heavy quark scaling, i.e.…”

Section: Introductionmentioning

confidence: 99%

Differential decay rate ofB→πlνsemileptonic decay with lattice nonrelativistic QCD

et al. 2001

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We present a lattice QCD calculation of B → πlν semileptonic decay form factors in the small pion recoil momentum region. The calculation is performed on a quenched 16 3 × 48 lattice at β = 5.9 with the NRQCD action including the full 1/M terms. The form factors f 1 (v · k π ) and f 2 (v · k π ) defined in the heavy quark effective theory for which the heavy quark scaling is manifest are adpoted, and we find that the 1/M correction to the scaling is small for the B meson. The dependence of form factors on the light quark mass and on the recoil energy is found to be mild, and we use a global fit of the form factors at various quark masses and recoil energies to obtain model independent results for the physical differential decay rate. We find that the B * pole contribution dominates the form factor f + (q 2 ) for small pion recoil energy, and obtain the differential decay rate integrated over the kinematic region q 2 > 18 GeV 2 to be |V ub | 2 × (1.18 ± 0.37 ± 0.08 ± 0.31) psec −1 , where the first error is statistical, the second is that from perturbative calculation, and the third is the systematic error from finite lattice spacing and the chiral extrapolation. We also discuss the systematic errors in the soft pion limit

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DecayB→πℓνin heavy quark effective theory

Cited by 88 publications

References 66 publications

B → πlv with Möbius Domain Wall Fermions

B → πlv with Möbius Domain Wall Fermions

Heavy to light meson exclusive semileptonic decays in effective field theory of heavy quarks

Differential decay rate ofB→πlνsemileptonic decay with lattice nonrelativistic QCD

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