Speaker
Description
It is discussed why decays of the Omega baryon can be an interesting test bed for the interplay of high-statistics experiments, lattice QCD, effective field theory and other QCD based methods. In particular, the semileptonic decays of the Omega baryon are related by flavor symmetry and crossing to the production of Delta baryons in neutrino-matter interactions [1,2] and to the Delta-Delta-pion coupling constant where not even the sign is known [3]. Non-leptonic two-body decays show an unexpectedly large violation of the Delta I = 1/2 rule. This violation can be studied in much more detail by differential data on non-leptonic three-body decays [2]. The absence of a specific non-leptonic decay within(!) the decuplet sector might point to the emergence of soft dynamical scales that do not vanish in the chiral limit (see also the talk of Nora Salone at this workshop). It is suggested how effective field theories could be extended and why this requires crucial input not only from experiment but also from lattice QCD and/or other QCD based methods.
[1] M. Holmberg and S. Leupold, Low-energy axial-vector transitions from decuplet to octet baryons, Phys. Rev. D 100, no.11, 114001 (2019)
[2] C.J.G. Mommers and S. Leupold, Estimates for rare three-body decays of the Omega baryon using chiral symmetry and the Delta I = 1/2 rule, Phys. Rev. D 106, no.9, 093001 (2022)
[3] M. Bertilsson and S. Leupold, Goldberger-Treiman relation and Wu-type experiment in the decuplet sector, Phys. Rev. D 109, no.3, 034028 (2024)