6533b86efe1ef96bd12cc98f

RESEARCH PRODUCT

QCD matching conditions at thresholds

German RodrigoArcadi Santamaria

subject

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsMatching (statistics)Particle physicsHigh Energy Physics::LatticeHigh Energy Physics::PhenomenologyFOS: Physical sciencesFísicaScale (descriptive set theory)RenormalizationHigh Energy Physics - PhenomenologyAlpha (programming language)High Energy Physics - Phenomenology (hep-ph)Strong couplingPoint (geometry)High Energy Physics::ExperimentStatistical physicsConstant (mathematics)Particle Physics - Theory

description

The use of MS-like renormalization schemes in QCD requires an implementation of nontrivial matching conditions across thresholds, a fact often overlooked in the literature. We shortly review the use of these matching conditions in QCD and check explicitly that the prediction for $\alpha_s(M_Z)$, obtained by running the strong coupling constant from the $M_\tau$ scale, does not substantially depend on the exact value of the matching point chosen in crossing the $b$-quark threshold when the appropriate matching conditions are taken into account.

10.1016/0370-2693(93)90016-bhttp://cds.cern.ch/record/249432