Three-body final state interaction in η →3π

Peng Guo; Igor V. Danilkin; Diane Schott; C. Fernández-Ramírez; V. Mathieu; Adam P. Szczepaniak

doi:10.1103/PhysRevD.92.054016

Three-body final state interaction in η →3π

Peng Guo, Igor V. Danilkin, Diane Schott, C. Fernández-Ramírez, V. Mathieu, Adam P. Szczepaniak

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63 Scopus citations

Abstract

We present a unitary dispersive model for the η→3π decay process based upon the Khuri-Treiman equations which are solved by means of the Pasquier inversion method. The description of the hadronic final-state interactions for the η→3π decay is essential to reproduce the available data and to understand the existing discrepancies between Dalitz plot parameters from experiment and chiral perturbation theory. Our approach incorporates substraction constants that are fixed by fitting the recent high-statistics WASA-at-COSY data for η→π+π-π0. Based on the parameters obtained, we predict the slope parameter for the neutral channel to be α=-0.022±0.004. Through matching to next-to-leading-order chiral perturbation theory, we estimate the quark mass double ratio to be Q=21.4±0.4.

Original language	English (US)
Article number	054016
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	92
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevD.92.054016
State	Published - Sep 11 2015
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.92.054016

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title = "Three-body final state interaction in η →3π",

abstract = "We present a unitary dispersive model for the η→3π decay process based upon the Khuri-Treiman equations which are solved by means of the Pasquier inversion method. The description of the hadronic final-state interactions for the η→3π decay is essential to reproduce the available data and to understand the existing discrepancies between Dalitz plot parameters from experiment and chiral perturbation theory. Our approach incorporates substraction constants that are fixed by fitting the recent high-statistics WASA-at-COSY data for η→π+π-π0. Based on the parameters obtained, we predict the slope parameter for the neutral channel to be α=-0.022±0.004. Through matching to next-to-leading-order chiral perturbation theory, we estimate the quark mass double ratio to be Q=21.4±0.4.",

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AU - Guo, Peng

AU - Danilkin, Igor V.

AU - Schott, Diane

AU - Fernández-Ramírez, C.

AU - Mathieu, V.

AU - Szczepaniak, Adam P.

PY - 2015/9/11

Y1 - 2015/9/11

N2 - We present a unitary dispersive model for the η→3π decay process based upon the Khuri-Treiman equations which are solved by means of the Pasquier inversion method. The description of the hadronic final-state interactions for the η→3π decay is essential to reproduce the available data and to understand the existing discrepancies between Dalitz plot parameters from experiment and chiral perturbation theory. Our approach incorporates substraction constants that are fixed by fitting the recent high-statistics WASA-at-COSY data for η→π+π-π0. Based on the parameters obtained, we predict the slope parameter for the neutral channel to be α=-0.022±0.004. Through matching to next-to-leading-order chiral perturbation theory, we estimate the quark mass double ratio to be Q=21.4±0.4.

AB - We present a unitary dispersive model for the η→3π decay process based upon the Khuri-Treiman equations which are solved by means of the Pasquier inversion method. The description of the hadronic final-state interactions for the η→3π decay is essential to reproduce the available data and to understand the existing discrepancies between Dalitz plot parameters from experiment and chiral perturbation theory. Our approach incorporates substraction constants that are fixed by fitting the recent high-statistics WASA-at-COSY data for η→π+π-π0. Based on the parameters obtained, we predict the slope parameter for the neutral channel to be α=-0.022±0.004. Through matching to next-to-leading-order chiral perturbation theory, we estimate the quark mass double ratio to be Q=21.4±0.4.

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Three-body final state interaction in η →3π

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