Two--loop integrals in chiral perturbation theory

Abstract

We consider chiral perturbation theory in the meson sector at order $E^6$. In the terminology of the external field technique, the two--loop graphs so generated are of the sunset type. We discuss the evaluation of several of these in the case where the masses of the particles running in the loops are equal. In particular, we present integral representations that are suitable for the evaluation of diagrams in kinematical regions where branch points and cuts are present.

28 pages, LaTeX, 5 figures embedded with epsf.sty

References in corpus (1)

• Goldstone Boson Production and Decay

Cited by in corpus (10)

• Pion and Kaon Electromagnetic Form Factors
• pi/K -> e nu branching ratios to O(e^2 p^4) in Chiral Perturbation Theory
• Technicolor and other QCD-like theories at next-to-next-to-leading order
• Meson-meson Scattering in QCD-like Theories
• T-odd correlations in radiative K_l3^+ decays and chiral perturbation theory
• The expansion by regions in pi K scattering
• On the amplitudes for the CP-conserving $K^{\pm }(K_S)\to {\pi }^{\pm }({\pi }^0){\ell }^{+}{\ell }^{-}$ rare decay modes
• On the two-loop contributions to the pion mass
• Laurent series expansion of sunrise-type diagrams using configuration space techniques
• Two-Point Functions and S-Parameter in QCD-like Theories