Electric dipole transitions in pNRQCD

TL;DR

This paper develops a systematic, model-independent theoretical framework within pNRQCD for calculating relativistic corrections to electric dipole transitions in heavy quarkonia, comparing with potential models and experimental data.

Contribution

It derives the complete set of relativistic corrections at order v^2 for E1 transitions in heavy quarkonia using pNRQCD, providing a more accurate and systematic approach.

Findings

Relativistic corrections at order v^2 are systematically derived.

Comparison with potential models highlights differences and improvements.

Phenomenological analysis with lattice input aligns theory with experimental data.

Abstract

We present a theroretical treatment of electric dipole (E1) transitions of heavy quarkonia based on effective field theories. Within the framework of potential nonrelativistic QCD (pNRQCD) we derive the complete set of relativistic corrections at relative order $v^2$ to the decay rate in a systematic, model-independent way. Former results from potential model calculations will be scrutinized and a phenomenological analysis with lattice input in relation to experimental data will be presented.