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This is a Quantitative Study study.

November 1, 2025Open Access

Study of the ρ0 Decay into π0π0γ Within Framework of Chiral Perturbation Theory with Resonances

Key Points

Branching ratio calculation shows dependence on LECs c57 and d4, indicating parameters required for consistency.
Calculated branching ratio relies on applying conditions to constrain free parameters, optimizing experimental compatibility.
Lagrangian of odd intrinsic parity was employed to analyze decay, suggesting limitations of current experimental data.
Contour plots reveal allowed regions for parameters, emphasizing the need for further data to refine estimates.

Abstract

In this work, we calculate the branching ratio (BR) of the decay process ρ0→π0π0γ within the theoretical framework of chiral perturbation theory with resonances, employing the odd intrinsic parity lagrangian. Our analysis shows that the BR depends solely on the LECs c57≡c5+c7, and d4. Since the experimentally measured BR does not provide sufficient constraints, the number of free parameters is reduced by applying on-shell and off-shell conditions at the interaction vertices. Our result shows that using full on-shell conditions is not consistent with the experimental BR. Therefore, we present an allowed region (contour plot) for (c57,d4) that is compatible with the experimental BR. We emphasize that once the differential BR becomes accessible, a fitting procedure can be carried out to delineate the parameter space.

Study of the ρ0 Decay into π0π0γ Within Framework of Chiral Perturbation Theory with Resonances

Key Points

Abstract

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