NNLO corrections to B --> X_u l nu and the determination of |V_ub|
Ben D. Pecjak
TL;DR
This paper presents NNLO QCD corrections to B --> X_u l nu decay rates, improving the precision of |V_ub| extraction by combining new hard function results with existing jet and shape-function data.
Contribution
It provides the first NNLO calculation of partial decay rates in B --> X_u l nu decays, enhancing theoretical accuracy for |V_ub| determination.
Findings
NNLO corrections significantly impact decay rate predictions
Improved theoretical precision aids in more accurate |V_ub| extraction
Numerical analysis shows reduced uncertainties in decay rate calculations
Abstract
The calculation of partial decay rates in B --> X_u l nu decays at next-to-next-to-leading order (NNLO) in alpha_s and to leading order in 1/m_b is described. New results for the hard function are combined with known results for the jet function and shape-function moments in a numerical analysis which explores the impact of the NNLO corrections on partial decay rates and the determination of |V_{ub}|.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Nuclear physics research studies