Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
arxiv(2024)
摘要
We present a comprehensive investigation of leading-twist lightcone
distribution amplitudes (LCDAs) and quasi distribution amplitudes (quasi-DAs)
for light octet and decuplet baryons within large momentum effective theory. In
LaMET, LCDAs can be factorized in terms of a hard kernel and quasi-DAs that are
defined as spatial correlators and calculable on Lattice QCD. To renormalize
quasi-DAs and eliminate the singular terms ln(μ^2 z_i^2)'s in them, which
undermine the efficacy in perturbative expansion, we adopt a hybrid
renormalization scheme that combines the self-renormalization and ratio scheme.
Through self-renormalization, we eliminate UV divergences and linear
divergences at large spatial separations in quasi distribution amplitudes
without introducing additional nonperturbative effects. By taking a ratio with
respect to the zero-momentum matrix element, we effectively remove UV
divergences at small spatial separations. Under the hybrid renormalization
scheme, we calculate the hard kernels up to one-loop accuracy. It turns out
that only four different hard kernels are needed for all leading-twist LCDAs of
octet and decuplet baryons. These results are crucial for the lattice-based
exploration of the LCDAs of a light baryon from the first principle of QCD.
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