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Title: K{yields}{pi}{pi} Amplitudes from Lattice QCD with a Light Charm Quark

Journal Article · · Physical Review Letters
;  [1];  [2];  [3];  [4];  [5]
  1. Department of Physics, CERN, TH Division, CH-1211 Geneva 23 (Switzerland)
  2. Departamento de Fisica Teorica and IFIC, Universidad de Valencia, E-46071 Valencia (Spain)
  3. Faculty of Physics, University of Bielefeld, D-33501 Bielefeld (Germany)
  4. DESY, Notkestrasse 85, D-22603 Hamburg (Germany)
  5. Institut fuer Kernphysik, Universitaet Mainz, D-55099 Mainz (Germany)

We compute the leading-order low-energy constants of the {delta}S=1 effective weak Hamiltonian in the quenched approximation of QCD with up, down, strange, and charm quarks degenerate and light. They are extracted by comparing the predictions of finite-volume chiral perturbation theory with lattice QCD computations of suitable correlation functions carried out with quark masses ranging from a few MeV up to half of the physical strange mass. We observe a {delta}I=1/2 enhancement in this corner of the parameter space of the theory. Although matching with the experimental result is not observed for the {delta}I=1/2 amplitude, our computation suggests large QCD contributions to the physical {delta}I=1/2 rule in the GIM limit, and represents the first step to quantify the role of the charm-quark mass in K{yields}{pi}{pi} amplitudes. The use of fermions with an exact chiral symmetry is an essential ingredient in our computation.

OSTI ID:
20957677
Journal Information:
Physical Review Letters, Vol. 98, Issue 8; Other Information: DOI: 10.1103/PhysRevLett.98.082003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
Country of Publication:
United States
Language:
English

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