Dispersive representation of K -> 3 pi amplitudes and cusps

Abstract

The NA48/2 collaboration has shown clear experimental evidence for a cusp in the data for K -> pi pi^0 pi^0. This effect can be used to extract information on the pi-pi scattering lengths. We address this issue using a two-loop dispersive construction of pi pi -> pi pi and K -> pi pi pi amplitudes in the presence of isospin breaking.

4 pages, 1 figure, to appear in Proceedings of the conference QCD 08, Montpellier, 7-12 July 2008

References in corpus (6)

• Cusps in K --> 3 pi decays
• Radiative corrections in K --> 3 pi decays
• Cusps in K_L --> 3 pi decays
• K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
• Dispersive Approach to Chiral Perturbation Theory
• Detailed Study of the KL -> 3pi0 Dalitz Plot

Cited by in corpus (10)

• Kaon Decays in the Standard Model
• Threshold cusps and triangle singularities in hadronic reactions
• Analytical dispersive construction of $\eta \to 3\pi$ amplitude: First order in isospin breaking
• Cusps in K --> 3pi decays: a theoretical framework
• Dispersive Approach to Chiral Perturbation Theory
• Hadronic Atoms
• Two-loop representations of low-energy pion form factors and pi-pi scattering phases in the presence of isospin breaking
• Dispersive construction of two-loop $P\to \pi \pi \pi$ $(P=K,\eta )$ amplitudes
• Isospin breaking in the phases of the Ke4 form factors
• Status of chiral perturbation theory