6533b836fe1ef96bd12a1b8b

RESEARCH PRODUCT

Effect ofmconbquark chromomagnetic interaction and on-shell two-loop integrals with two masses

Andrei I. DavydychevAndrey Grozin

subject

Loop (topology)PhysicsNuclear and High Energy PhysicsParticle physicsBasis (linear algebra)BibliographyShell (structure)PropagatorCharm (quantum number)Bottom quarkCharm quark

description

The effect of non-zero c quark mass on b quark HQET Lagrangian, up to 1/mb level, is calculated at two loops. The results are expressed in terms of dilogarithmic functions of mc/mb. This calculation involves on-shell two-loop propagator-type diagrams with two different masses, mb and mc. A general algorithm for reducing such Feynman integrals to the basis of two nontrivial and two trivial integrals is constructed.

https://doi.org/10.1103/physrevd.59.054023