A new method to access heavy meson lightcone distribution amplitudes from first-principle
arxiv(2024)
摘要
We present a method to compute lightcone distribution amplitudes (LCDAs) of
heavy meson within heavy quark effective theory (HQET). Our method utilizes
quasi distribution amplitudes (quasi-DAs) with a large momentum component
P^z. We point out that by sequentially integrating out P^z and m_H, one
can disentangle different dynamical scales. Integrating out P^z allows to
connect quasi-DAs to QCD LCDAs, and then integrating out m_H enables to
relate QCD LCDAs to HQET LCDAs. To verify this proposal, we make use of lattice
QCD simulation on a lattice ensemble with spacing a = 0.05187 fm. The
preliminary findings for HQET LCDAs qualitatively align with phenomenological
models. Using a recent model for HQET LCDAs, we also fit the first inverse
moment λ_B^-1 and the result is consistent with the experimentally
constrain from B →γℓν_ℓ. This agreement demonstrates the
promise of our method in providing first-principle predictions for heavy meson
LCDAs.
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