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K+ -> π+ π0 decays on finite volumes and at next-to-leading order in the chiral expansion

K+ -> π+ π0 decays on finite volumes and at next-to-leading order in the chiral expansion
K+ -> π+ π0 decays on finite volumes and at next-to-leading order in the chiral expansion
We present the ingredients necessary for the determination of physical K->ππ decay amplitudes for ΔI = 3/2 transitions, from lattice simulations at unphysical kinematics and the use of chiral perturbation theory at next-to-leading order. In particular we derive the expressions for the matrix elements <ππI=2|OW|K>, where OW is one of the operators appearing in the ΔS=1 weak Hamiltonian, in terms of low-energy constants at next-to-leading order in the chiral expansion. The one-loop chiral corrections are evaluated for arbitrary masses and momenta, both in full QCD and in the quenched approximation. We also investigate the finite-volume effects in this procedure.
0550-3213
301-355
Lin, C.-J. D.
01ee4db6-7088-4776-ad63-73fbc8c60345
Martinelli, G.
3949da7a-7efe-4ebd-b1f7-92f1ca150d66
Pallante, E.
beba5f56-f008-4986-8ade-36e466e10db0
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Villadoro, G.
e031a98e-8777-45c1-920d-05e3bd0e9b20
Lin, C.-J. D.
01ee4db6-7088-4776-ad63-73fbc8c60345
Martinelli, G.
3949da7a-7efe-4ebd-b1f7-92f1ca150d66
Pallante, E.
beba5f56-f008-4986-8ade-36e466e10db0
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Villadoro, G.
e031a98e-8777-45c1-920d-05e3bd0e9b20

Lin, C.-J. D., Martinelli, G., Pallante, E., Sachrajda, C.T. and Villadoro, G. (2003) K+ -> π+ π0 decays on finite volumes and at next-to-leading order in the chiral expansion. Nuclear Physics B, 650 (1-2), 301-355. (doi:10.1016/S0550-3213(02)01038-6).

Record type: Article

Abstract

We present the ingredients necessary for the determination of physical K->ππ decay amplitudes for ΔI = 3/2 transitions, from lattice simulations at unphysical kinematics and the use of chiral perturbation theory at next-to-leading order. In particular we derive the expressions for the matrix elements <ππI=2|OW|K>, where OW is one of the operators appearing in the ΔS=1 weak Hamiltonian, in terms of low-energy constants at next-to-leading order in the chiral expansion. The one-loop chiral corrections are evaluated for arbitrary masses and momenta, both in full QCD and in the quenched approximation. We also investigate the finite-volume effects in this procedure.

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Published date: 3 February 2003

Identifiers

Local EPrints ID: 14754
URI: http://eprints.soton.ac.uk/id/eprint/14754
ISSN: 0550-3213
PURE UUID: 4ca7c23e-da6d-4e0d-8bb6-42a9ba9a3d43

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Date deposited: 25 Feb 2005
Last modified: 15 Mar 2024 05:31

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Contributors

Author: C.-J. D. Lin
Author: G. Martinelli
Author: E. Pallante
Author: C.T. Sachrajda
Author: G. Villadoro

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