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.
Highlights
Kinetic Heavy Quark Mass to Three LoopsWe compute three-loop corrections to the relation between the heavy quark masses defined in the pole and kinetic schemes
Introduction.—Among the main aims of the Belle II experiment at the SuperKEKB accelerator at the High Energy Accelerator Research Organization (Tsukuba) is the precise measurement of various matrix elements in the Cabibbo–Kobayashi–Maskawa (CKM) mixing matrix
The values of jVcbj from inclusive b → clν decays are obtained from global fits of jVcbj, the bottom and charm masses, and the relevant nonperturbative parameters in the heavy quark expansion
Summary
We compute three-loop corrections to the relation between the heavy quark masses defined in the pole and kinetic schemes. Introduction.—Among the main aims of the Belle II experiment at the SuperKEKB accelerator at the High Energy Accelerator Research Organization (Tsukuba) is the precise measurement of various matrix elements in the Cabibbo–Kobayashi–Maskawa (CKM) mixing matrix These are crucial ingredients for our understanding of CP violation and indispensable input for precision tests of the standard model of particle physics. The kinetic scheme was introduced in [9] to sum such nenhanced terms via a suitable short-distance definition It relies on the small velocity QCD sum rules [20], which hold in the zero-recoil limit, i.e., for hadronic final state velocities jv⃗ j ≪ 1 in the rest frame of the decaying particle and mb ∼ mc.
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