17–21 Jul 2023
Hörsaalzentrum Unteres Schloss
Europe/Berlin timezone

Combined analysis of D^+,D^0\to \bar{K}\pi\pi decays using isospin symmetry analyticity and unitarity

18 Jul 2023, 15:00
20m
US-C 116 (Hörsaalzentrum Unteres Schloss)

US-C 116

Hörsaalzentrum Unteres Schloss

US-C, Kölner Str. 41, 57072 Siegen
contributed parallel talk decays Parallel A

Speaker

Bachir Moussallam (IJCLab,Université Paris-Saclay)

Description

We discuss some applications of isospin symmetry in the
Cabibbo favoured $D\to\bar{K}\pi\pi$ decays. These processes are important for
precision testing of the Standard Model and for hadronic physics. Combining
isospin symmetry with a dispersive reconstruction theorem we derive a
representation in terms of one-variable functions which allows one to predict
all the $D\to\bar{K}\pi\pi$ amplitudes given inputs from one $D^+$ mode
and one $D^0$ mode. From this, using dispersion relations and unitarity, we
derive a set of Khuri-Treiman type integral equations which enable to take
three-body rescattering effects into account. These could be more significant
in D than in K or B decays. A first test of this approach is
presented using experimental results on the $D^+\to K_S\pi^0\pi^+$ and the
$D^0\to K_S\pi^-\pi^+$ modes.

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Primary author

Bachir Moussallam (IJCLab,Université Paris-Saclay)

Presentation materials