Light-quark mass ratio determination from η′→πππ decays

Abstract

The light quark masses mu,d,s are fundamental parameters of Quantum ChromoDynamics (QCD) and ought to be constrained as accurately as possible. Of particular interest is the mass difference between the up and down quarks, md-mu, that measures isospin breaking in strong interactions. We will investigate the three-pion system in h¢®ppp decays and the access offered by these transitions to md-mu. The question is whether independent information on the latter can directly be inferred from the decay dynamics, like the unique way offered by the partner reaction h®ppp [1]. We will perform a partial wave decomposition of the amplitude combining Chiral Perturbation Theory with dispersion relations and compare it to the very recent, high-precision experimental data released by the BESIII Collaboration [2] to answer this question. 

 

Advisors
Sergi González-Solís
Requirements
The work will require state-of-the-art reading, as well as analytical and computational skills. It will be developed at the University of Barcelona, but remote supervision is possible.
References

[1] L. Gan, B. Kubis, E. Passemar and S. Tulin, ``Precision tests of fundamental physics with h and h¢ mesons,'' Phys. Rept. 945 (2022), 1-105, doi:10.1016/j.physrep.2021.11.001, [arXiv:2007.00664 [hep-ph]].

[2] M. Ablikim, et. al., ``Improved amplitude analysis of h¢®p+p--p0 and h¢®p0p0p0'' 2609.15053 [hep-exp]