One loop scalar functions in the heavy quark effective theory

Abstract

We find general solutions for the dimensionally regularised scalar one loop three-point and four-point functions with one heavy quark propagator. The scalar one-point function vanishes, while the expression for the two-point function has been found before. For the latter we give a detailed derivation. We also discuss some special cases and compile useful formulae.

18 pages, typos corrected, final results written out in more explicit form, further checks of results added

References in corpus (4)

• The Rare Decay D^0 -> gamma gamma
• HQET quark-gluon vertex at one loop
• One-loop vertex integrals in heavy-particle effective theories
• Vertex integrals in heavy-particle theories

Cited by in corpus (10)

• Molecular Transport Junctions: Vibrational Effects
• The Radiative Leptonic Decays D^0 -> e^+ e^- gamma, mu^+ mu^- gamma in the Standard Model and Beyond
• B-->pi and B-->K transitions in standard and quenched chiral perturbation theory
• Scintillating crystals for the Neutral Particle Spectrometer in Hall C at JLab
• Lepton-Proton Two-Photon Exchange in Chiral Perturbation Theory
• B --> pi and B --> K transitions in partially quenched chiral perturbation theory
• On one master integral for three-loop on-shell HQET propagator diagrams with mass
• Chiral loops in the isospin violating decays of D_{s1}(2460) and D*_{s0}(2317)
• A Conceptual Design Study of a Compact Photon Source (CPS) for Jefferson Lab
• Nucleon Electric Dipole Moments in Paramagnetic Molecules through Effective Field Theory