Three-particle di-light-cone distribution amplitudes of the B-meson in heavy-quark effective theory
Abstract
We present a systematic study of the three-particle di-light-cone distribution amplitudes (DLCDAs) of the B-meson. They are defined through B-meson--to--vacuum matrix elements of trilocal HQET operators, in which the light antiquark and the gluon field-strength tensor are located on two back-to-back light rays. In this sense, the DLCDAs generalise the conventional B-meson light-cone distribution amplitudes to configurations where soft fields couple to collinear degrees of freedom in two distinct directions. As such, they parametrise the non-perturbative dynamics associated with non-factorisable soft-gluon contributions in rare and non-leptonic exclusive B-meson decays. We derive the complete Lorentz decomposition of the matrix elements of generic trilocal operators, identify eight independent DLCDAs, and organise them in a basis of definite twist. Using local operator identities and equations-of-motion constraints, we obtain tree-level relations for their normalisation integrals and first moments in terms of a minimal set of hadronic parameters. These relations allow us to construct simple momentum-space models for all independent DLCDAs. For the leading-twist distribution, we further incorporate the perturbative radiative tail at order αs and discuss its impact on the resulting parametrisation.
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BibTeX
@misc{bartocci2026threeparticle,
title = {{Three-particle di-light-cone distribution amplitudes of the $B$-meson in heavy-quark effective theory}},
author = {Riccardo Bartocci and Philipp Böer and Thorsten Feldmann and Max Ferré and Nico Gubernari and Daniel Vladimirov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.20267},
eprint = {2606.20267},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.20267},
}
RIS
TY - UNPB
TI - Three-particle di-light-cone distribution amplitudes of the B-meson in heavy-quark effective theory
AU - Riccardo Bartocci
AU - Philipp Böer
AU - Thorsten Feldmann
AU - Max Ferré
AU - Nico Gubernari
AU - Daniel Vladimirov
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2606.20267
UR - https://arxiv.org/abs/2606.20267
AB - We present a systematic study of the three-particle di-light-cone distribution amplitudes (DLCDAs) of the B-meson. They are defined through B-meson--to--vacuum matrix elements of trilocal HQET operators, in which the light antiquark and the gluon field-strength tensor are located on two back-to-back light rays. In this sense, the DLCDAs generalise the conventional B-meson light-cone distribution amplitudes to configurations where soft fields couple to collinear degrees of freedom in two distinct directions. As such, they parametrise the non-perturbative dynamics associated with non-factorisable soft-gluon contributions in rare and non-leptonic exclusive B-meson decays. We derive the complete Lorentz decomposition of the matrix elements of generic trilocal operators, identify eight independent DLCDAs, and organise them in a basis of definite twist. Using local operator identities and equations-of-motion constraints, we obtain tree-level relations for their normalisation integrals and first moments in terms of a minimal set of hadronic parameters. These relations allow us to construct simple momentum-space models for all independent DLCDAs. For the leading-twist distribution, we further incorporate the perturbative radiative tail at order α_s and discuss its impact on the resulting parametrisation.
ER -