0000000000004423
AUTHOR
Michael Fickinger
Precision thrust cumulant moments atN3LL
We consider cumulant moments (cumulants) of the thrust distribution using predictions of the full spectrum for thrust including O(alpha_s^3) fixed order results, resummation of singular N^3LL logarithmic contributions, and a class of leading power corrections in a renormalon-free scheme. From a global fit to the first thrust moment we extract the strong coupling and the leading power correction matrix element Omega_1. We obtain alpha_s(m_Z) = 0.1141 \pm (0.0004)_exp \pm (0.0014)_hadr \pm (0.0007)_pert, where the 1-sigma uncertainties are experimental, from hadronization (related to Omega_1) and perturbative, respectively, and Omega_1 = 0.372 \pm (0.044)_exp \pm (0.039)_pert GeV. The n-th th…
Resolved Power Corrections to the Inclusive DecayB‾→Xsℓ+ℓ−
We identify the correct power counting of all the variables in the low-q2 window of the inclusive decay B‾→Xs within the effective theory SCET if a hadronic mass cut is imposed. Furthermore we analyse the resolved power corrections at the order 1/mb in a systematic way. The resolved contributions – as a special feature – stay nonlocal when the hadronic mass cut is released. Thus, they represent an irreducible uncertainty independent of the hadronic mass cut.