The leading two loop counterterm in the nonleptonic weak sector of CHPT
نویسنده
چکیده
We calculate the leading divergences at NNLO for the octet part of the nonleptonic weak sector of chiral perturbation theory, using renormalization group methods. The role of counterterms which vanish at the equation of motion and their use to simplify the calculation is shown explicitly. The obtained countertem Lagrangian can be employed to calculate the chiral double log contributions of quantities in this sector, most notably the K → ππ amplitude. The double log contribution of the latter is discussed in a separate paper.
منابع مشابه
ar X iv : h ep - p h / 05 04 18 0 v 3 7 N ov 2 00 5 The leading two loop divergences of the nonleptonic weak chiral Lagrangian
We calculate the leading divergences at NNLO for the octet part of the nonleptonic weak sector of chiral perturbation theory, using renormalization group methods. The role of counterterms which vanish at the equation of motion and their use to simplify the calculation is shown explicitly. The obtained counterterm Lagrangian can be employed to calculate the chiral double log contributions of qua...
متن کاملWeak hyperon decays in heavy baryon chiral perturbation theory: Renormalization and applications
The complete renormalization of the weak Lagrangian to chiral order q2 in heavy baryon chiral perturbation theory is performed using heat kernel techniques. The results are compared with divergences appearing in the calculation of Feynman graphs for the nonleptonic hyperon decay Λ → pπ− and an estimate for the size of the counterterm contributions to the s-wave amplitudes in nonleptonic hyperon...
متن کاملWeak Nonleptonic Ω− Decay in Chiral Perturbation Theory
We calculate the weak nonleptonic decay of the Ω− baryon to octet final states in heavy baryon chiral perturbation theory (HBChPT). We include the one-loop leading logarithmic effects and show that this improves the universality of the HBChPT constants.
متن کاملChiral Perturbation Theory Beyond One Loop
The existing Chiral Perturbation Theory (ChPT) calculations at order p6 are reviewed. The principles of ChPT and how they are used are introduced. The main part is a review of the twoand three-flavour full two-loop calculations and their comparison with experiment. We restrict the discussion to the mesonic purely strong and semileptonic sector. The review concludes by mentioning the existing re...
متن کاملIsospin violation and the proton ’ s neutral weak magnetic form factor
The effects of isospin violation on the neutral weak magnetic form factor of the proton are studied using two-flavour chiral perturbation theory. The first nonzero contributions appear at O(p) in the small-momentum expansion, and the O(p) corrections are also calculated. The leading contributions from an explicit ∆(1232) isomultiplet are included as well. At such a high order in the chiral expa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008