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QCD Light-Cone Distribution Amplitudes of Heavy Mesons from boosted HQET
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abstract
Light-cone distribution amplitudes (LCDAs) frequently arise in factorization theorems involving light and heavy mesons. The QCD LCDA for heavy mesons includes short-distance physics at energy scales of the heavy-quark mass. In this paper we achieve the separation of this perturbative scale from the purely hadronic effects by matching the QCD LCDA to the convolution of a perturbative function with the universal, quark-mass independent LCDA defined in heavy-quark effective theory. This factorization allows to resum potentially large logarithms between $\Lambda_{\rm QCD}$ and $m_Q$ as well as between $m_Q$ and the scale $Q$ of the hard process in the production of boosted heavy mesons at colliders. As an application we derive new theoretical predictions for the branching ratio of the decay $W^\pm \to B^\pm \gamma$. Furthermore, we provide phenomenological models for the QCD LCDAs of both the $\bar{B}$ and $D$ mesons expressed as expansions in Gegenbauer polynomials.
Forward citations
Cited by 4 Pith papers
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Heavy quark mass dependence of the $\Lambda_Q$ light-cone distribution amplitude in QCD
The Lambda_Q baryon LCDA at mass m_Q equals (m_Q/m_Q^0)^2 times the LCDA at m_Q^0 evaluated at rescaled fractions x_i*m_Q/m_Q^0, times an exponentiated anomalous dimension, plus renormalon-model power corrections.
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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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