Light-cone distribution amplitudes (LCDAs) are essential to precision phenomenology in heavy baryon decays. In this work, we derive a factorization formula connecting the leading-twist QCD LCDA to the boosted HQET LCDA of the ΛQ baryon in the peak region. We demonstrate a significant simplification of the matching procedure by applying the method-of-regions to perturbative calculations. With this simplification, we calculate the required one-loop perturbative corrections to the QCD and boosted HQET LCDAs in the MS scheme, and thereby obtain the one-loop jet function that serves as the matching kernel in the factorization formula. This result provides a critical step toward lattice QCD calculation of heavy baryon LCDAs in the future.
@article{arxiv.2602.14187,
title = {Factorization formula connecting the $\Lambda_Q$ LCDA in QCD and boosted HQET},
author = {Yu-Ji Shi and Jun Zeng},
journal= {arXiv preprint arXiv:2602.14187},
year = {2026}
}