Speaker
Description
We quantify the importance of rescattering effects beyond the simplest isobar model in three-pion finales states for different decay masses and angular-momentum quantum numbers.
We provide the reconstruction theorems for four different decay processes, resonances with $J^{PC} = 0^{-+}$, $1^{--}$, $1^{-+}$, and $2^{++}$, all of which decay, in the simplest approximation, into $\pi\rho$ final states. Two-pion rescattering can be described rigorously in terms of Omnès functions, which incorporate the effects of the $\rho$-resonances. Inclusion of full rescattering effects is achieved solving the Khuri--Treiman integral equations. Using log-likelihood differences, we compute the minimum number of events necessary to unambiguously identify rescattering effects beyond two-body resonances in future Dalitz plot analyses.
The variation of this sensitivity for a series of decay masses is interpreted in terms of kinematic effects for different quantum numbers.
