Recent results with heavy quarks and light lepton bound states

TL;DR

This paper reviews recent quantum corrections in semileptonic b quark decays and positronium spectroscopy, highlighting methodological similarities and technical approaches like recurrence relations and dimensional regularization.

Contribution

It demonstrates the parallels between calculations in heavy quark decays and positronium, and explains advanced techniques used in these quantum bound state problems.

Findings

Second order quantum corrections significantly impact decay rates.

Recurrence relations are effective for solving bound state problems.

Dimensional regularization aids in handling divergences in bound state calculations.

Abstract

Recent results on second order quantum corrections to semileptonic decays of b quarks and positronium spectroscopy are reviewed. Similarities between calculations in these seemingly different problems are demonstrated. Technical aspects of solving systems of recurrence relations, and application of dimensional regularization to bound states are explained.