Update on technical aspects of $B$ meson mixing at NNLO
Pascal Reeck
TL;DR
This paper discusses the technical challenges and solutions in calculating NNLO QCD corrections to the $B_s$ meson width difference, focusing on spinor structures and semi-numeric master integral computation.
Contribution
It introduces novel methods for handling complex spinor algebra and semi-numeric techniques for master integrals in NNLO calculations of $B$ meson mixing.
Findings
Successful treatment of complex gamma matrix products
Development of semi-numeric approach for master integrals
Enhanced precision in NNLO $B$ meson mixing calculations
Abstract
This report summarises important technical challenges and their solutions in the calculation of the next-to-next-to-leading order QCD corrections to the width difference in the system. We focus on the treatment of spinor structures with products of up to 22 matrices by means of projection and tensor integrals. Moreover, we present an approach for the semi-numeric computation of master integrals.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · High-Energy Particle Collisions Research · Superconducting Materials and Applications