Kinetic Heavy Quark Mass to Three Loops
Matteo Fael, Kay Schönwald, Matthias Steinhauser
Abstract
We compute three-loop corrections to the relation between the heavy quark masses defined in the pole and kinetic schemes. Using known relations between the pole and MS[over ¯] quark masses, we can establish precise relations between the kinetic and MS[over ¯] charm and bottom masses. As compared to two loops, the precision is improved by a factor of 2 to 3. Our results constitute important ingredients for the precise determination of the Cabibbo-Kobayashi-Maskawa matrix element |V_{cb}| at Belle II.
Topics & Concepts
PhysicsParticle physicsCharm (quantum number)Cabibbo–Kobayashi–Maskawa matrixKinetic energyQuarkLoop (graph theory)Nuclear physicsMatrix (chemical analysis)Top quarkBottom quarkCharm quarkMatrix elementClassical mechanicsCombinatoricsComposite materialMaterials scienceMathematicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research