A new method to access heavy meson lightcone distribution amplitudes from first-principle - INSPIRE

A new method to access heavy meson lightcone distribution amplitudes from first-principle

Mar 26, 2024

5 pages

e-Print:

2403.17492 [hep-ph]

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Abstract: (arXiv)

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

\lambda_B^{-1}

and the result is consistent with the experimentally constrain from

B \to \gamma \ell\nu_\ell

. This agreement demonstrates the promise of our method in providing first-principle predictions for heavy meson LCDAs.

Note:

6.5 +1.5 pages, 4 +2 figures

meson: heavy
Heavy Quark Effective Theory
meson: distribution amplitude
quantum chromodynamics
lattice field theory
lattice
moment
heavy quark
B: decay

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