Model independent method for a quantitative estimation ofSU(3)flavor symmetry breaking using Dalitz plot distributions

Abstract

The light hadron states are satisfactorily described in the quark model using SU(3) flavor symmetry. If the SU(3) flavor symmetry relating the light hadrons were exact, one would have an exchange symmetry between these hadrons arising out of the exchange of the up, down and strange quarks. This aspect of SU(3) symmetry is used extensively to relate many decay modes of heavy quarks. However, the nature of the effects of SU(3) breaking in such decays is not well understood and hence, a reliable estimate of SU(3) breaking effects is missing. In this work we propose a new method to quantitatively estimate the extent of flavor symmetry breaking and better understand the nature of such breaking using Dalitz plot. We study the three non-commuting SU(2) symmetries (subsumed in SU(3) flavor symmetry): isospin (or T -spin), U-spin and V-spin, using the Dalitz plots of some three-body meson decays. We look at the Dalitz plot distributions of decays in which pairs of the final three particles are related by two distinct SU(2) symmetries. We show that such decay modes have characteristic distributions that enable the measurement of violation of each of the three SU(2) symmetries via Dalitz plot asymmetries in a single decay mode. Experimental estimates of these easily measurable asymmetries would help in better understanding the weak decays of heavy mesons into both two and three light mesons.

Probing the ∆U = 0 rule in three body charm decays

“…Three-body B decays have been treated in refs. [88][89][90][91][92][93][94][95][96][97][98][99][100][101][102][103][104][105][106]. Recent LHCb results on CP violation in B + → π + π − π + can be found in refs.…”

Probing the $ΔU=0$ Rule in Three Body Charm Decays

“…Three-body B decays have been treated in Refs. [83][84][85][86][87][88][89][90][91][92][93][94][95][96][97][98][99][100][101]. Recent LHCb results on CP violation in B + → π + π − π + can be found in Refs.…”