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Systematic Parametrization of the Leading B-meson Light-Cone Distribution Amplitude
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Systematic Parametrization of the Leading B-meson Light-Cone Distribution Amplitude
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We propose a parametrization of the leading $B$-meson light-cone distribution amplitude (LCDA) in heavy-quark effective theory (HQET). In position space, it uses a conformal transformation that yields a systematic Taylor expansion and an integral bound, which enables control of the truncation error. Our parametrization further produces compact analytical expressions for a variety of derived quantities. At a given reference scale, our momentum-space parametrization corresponds to an expansion in associated Laguerre polynomials, which turn into confluent hypergeometric functions ${}_1F_1$ under renormalization-group evolution at one-loop accuracy. Our approach thus allows a straightforward and transparent implementation of a variety of phenomenological constraints, regardless of their origin. Moreover, we can include theoretical information on the Taylor coefficients by using the local operator production expansion. We showcase the versatility of the parametrization in a series of phenomenological pseudo-fits.
Forward citations
Cited by 5 Pith papers
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Three-particle di-light-cone distribution amplitudes of the $B$-meson in heavy-quark effective theory
The authors identify eight independent three-particle DLCDAs of the B-meson, perform their complete Lorentz decomposition in definite-twist basis, obtain tree-level relations for integrals and moments from operator id...
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SCET sum rules for $B\to D_1(2420)$ and $B\to D_1'(2430)$ form factors at next-to-leading order
First O(αs) SCET light-cone sum rules for B o D1 and B o D1' form factors yield R(D1)=0.070+0.028-0.018 and R(D1')=0.159+0.032-0.025.
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$\bar{B}_{s,d}^{0} \to J/\psi \mu^{+}\mu^{-}$ Decays in QCD Factorization
Computes branching ratios of order 10^{-10} for Bs and 10^{-11} for Bd decays after NLO vertex corrections in QCD factorization, plus dimuon distributions and J/psi polarization.
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Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors
A global fit to B→π,K,D lattice form factors and B→πℓν data yields λ_B=217(19)+82−17 MeV and |V_ub|=3.68(13)+0−1×10−3.
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Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors
Global fit of B to pi, K, D form factors from lattice QCD and LCSR yields lambda_B = 217(19) MeV with model variations and |V_ub| = 3.68(13) x 10^{-3}.
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