Baryonic currents and their correlators in the Heavy Quark Effective Theory

TL;DR

This paper analyzes baryonic currents in HQET, calculating anomalous dimensions, correlators, and sum rules to estimate form factors, advancing understanding of heavy baryon properties.

Contribution

It provides the first one-loop anomalous dimensions, exact matching to QCD, and detailed sum rule analysis for heavy baryons in HQET.

Findings

Calculated one-loop anomalous dimensions and matching to QCD.

Derived sum rules for Lambda_Q and Sigma_Q baryons.

Estimated Isgur-Wise form factors from sum rules.

Abstract

HQET currents with the quantum numbers of the ground-state baryons are discussed. One-loop anomalous dimensions are calculated, and exact one-loop matching to QCD currents is found. Two-point correlators of these currents are calculated taking into account $d\le9$ terms of the OPE. Sum rules for heavy baryons Lambda_Q and Sigma^(*)_Q are analyzed. Three-point correlators of two baryonic currents and a heavy-heavy velocity changing current are calculated with the same accuracy. The baryonic Isgur-Wise form factors are estimated from the corresponding sum rules.