Correlators of heavy-light quark currents in HQET: Perturbative contribution up to 4 loops and beyond

2024/11/17 by Andrey G. Grozin, Andrey Grozin, Grozin, Andrey G.
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.2411.11080

openalex publication_date 2024/11/17 · openalex created_date 2024/11/21 · openalex updated_date 2026/07/28

Abstract

The perturbative contribution to the correlator of two HQET heavy-light currents expanded in light-quark masses up to quadratic terms is calculated up to 4 loops. The leading large-β₀ limit is also considered, so that terms with the highest degrees of n_f are calculated to all orders in α_s. Borel images of coefficient functions in this limit contain renormalon poles. Naive nonabelianization works surprisingly poorly for the coefficient functions considered here.

Related

• Correlator of heavy-light quark currents in HQET in the large β₀ limit
• Anomalous dimension of the heavy-light quark current in HQET up to four loops
• HQET Flavor Currents Using Automated Lattice Perturbation Theory
• Light-quark masses and renormalons
• Matching of heavy-light flavour currents between HQET at order 1/m and QCD: I. Strategy and tree-level study