The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

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.

Text
dt32_hep-lat.pdf - Accepted Manuscript
Available under License Creative Commons Attribution.
Download (432kB)

More information

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

Catalogue record

Date deposited: 25 Feb 2005
Last modified: 19 Nov 2021 17:48

Export record

Altmetrics

Contributors

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

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×