K0 form factor at order p^6 of chiral perturbation theory

Abstract

This paper describes the calculation of the electromagnetic form factor of the K0 meson at order p^6 of chiral perturbation theory which is the next-to-leading order correction to the well-known p^4 result achieved by Gasser and Leutwyler. On the one hand, at order p^6 the chiral expansion contains 1- and 2-loop diagrams which are discussed in detail. Especially, a numerical procedure for calculating the irreducible 2-loop graphs of the sunset topology is presented. On the other hand, the chiral Lagrangian L^6 produces a direct coupling of the K0 current with the electromagnetic field tensor. Due to this coupling one of the unknown parameters of L^6 occurs in the contribution to the K0 charge radius.

22 pages Latex with 8 figures, Typos corrected, one reference added

References in corpus (2)

• Renormalization of chiral perturbation theory to order p^6
• Two-point function of strangeness-carrying vector-currents in two-loop Chiral Perturbation Theory

Cited by in corpus (9)

• $\pi \pi$ Scattering in Three Flavour ChPT
• $K_{\ell 3}$ decays in Chiral Perturbation Theory
• Pion and Kaon Electromagnetic Form Factors
• Chiral Perturbation Theory Beyond One Loop
• $\pi K$ Scattering in Three Flavour ChPT
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• Tests of the naturalness of the coupling constants in ChPT at order p^6
• The expansion by regions in pi K scattering
• Relations at Order $p^6$ in Chiral Perturbation Theory