Göttingen 2025 – scientific programme
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T: Fachverband Teilchenphysik
T 31: Flavour physics II
T 31.5: Talk
Tuesday, April 1, 2025, 17:15–17:30, VG 1.104
Modelling Quark-Hadron Duality Violation in Inclusive B→ Xcℓν — •Ilija S. Milutin1, Thomas Mannel1, Rens Verkade2,3, and K. Keri Vos2,3 — 1TP1, CPPS, University of Siegen, Germany — 2GWFP, Maastricht University, The Netherlands — 3NIKHEF, Amsterdam, The Netherlands
The Heavy Quark Expansion (HQE) is the main tool for calculating decay rates and kinematic moments of inclusive semi-leptonic B meson decays. The HQE manifests as an Operator Product Expansion (OPE) in terms of powers of the inverse heavy bottom quark mass (1/mb). Using the HQE, the CKM matrix element Vcb has been extracted at percent-level precision from moments of inclusive B→ Xcℓν decays. The calculations upon which the theoretical estimates rely are done in terms of quarks and gluons, which are not accessible for experiments. Quark Hadron Duality (QHD) allows for a translation of theoretical predictions at the quark-level to experimental observables at the hadron-level. Since the increased accuracy in HQE predictions up to O(1/mb5), violation of the QHD may start to become a relevant limit to the achievable precision. When QHD is violated, the OPE stops being a valid expansion. In my talk, I will show how we can derive a model for the Quark Hadron Duality Violation and how it can enter different kinematic moments of the B→ Xcℓν decays.
Keywords: Flavour Physics; Semileptonic decays; Vcb; Heavy Quark Expansion; Quark-Hadron Duality Violation