Chiral perturbation theory, dispersion relations and final state interactions in K → ππ
نویسندگان
چکیده
منابع مشابه
K → ππ Decays in SU ( 2 ) Chiral Perturbation Theory
We study the decays K → ππ in one-loop two-flavour Chiral Perturbation Theory. We provide arguments why the calculation of the coefficient of the pionic chiral logarithm ℓ M = M 2 log M 2 is unique and then perform the calculation. As a check we perform the reduction of the known three-flavour result. Our result can be used to perform the extrapolation to the physical pion mass of direct lattic...
متن کاملar X iv : h ep - l at / 0 11 10 03 v 1 2 N ov 2 00 1 1 Chiral perturbation theory , dispersion relations and final state interactions in K → ππ
We discuss the recent literature on the treatment of final state interactions in K → ππ. Various approaches are compared and particular emphasis is given to the possibility of combining dispersive methods with lattice input. Recent results on the dependence of various quantities on the quark masses at order p in the chiral expansion are presented and the relevance for the lattice calculations i...
متن کاملChiral extrapolation of the σ and ρ mesons from dispersion relations and Chiral Perturbation Theory
We review our recent study of the pion mass dependence of the ρ and σ resonances, generated from one-loop SU(2) Chiral Perturbation Theory (ChPT) with the Inverse Amplitude Method (IAM). In order to properly account for the Adler zero region, we also review the recently obtained modified version of the IAM; which is based on analyticity, elastic unitarity and ChPT at low energies, thus yielding...
متن کاملOn K → ππ Decays in Quenched and Unquenched Chiral Perturbation Theory
We calculate the logarithmic corrections to the matrix elements for K → π and K → vacuum (which are used on the lattice to determine K → ππ amplitudes), in one-loop quenched and unquenched Chiral Perturbation Theory. We find that these corrections can be large. We also discuss, and present some results for, the direct determination of K → ππ amplitudes. In particular, we address effects from ch...
متن کاملChiral perturbation theory for K → ππ decay in the continuum and on the lattice
We use one-loop chiral perturbation theory (ChPT) to compare lattice results for the K → ππ decay amplitude with the experimental value. Three systematic effects: quenching, finite-volume effects, and the use of unphysical values of quark masses and pion external momenta can be investigated. We find that the corrections help in explaining the discrepancy between lattice and experimental results...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2002
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(01)01643-7