$K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes

We present the ingredients for determining $K^{+}\to\pi^{+}\pi^{0}$ matrix elements via the combination of lattice QCD and chiral perturbation theory ($\chi$PT). By simulating these matrix elements at unphysical kinematics, it is possible to determine all the low-energy constants (LECs) for construc...

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Detalles Bibliográficos
Autores principales: Lin, C J D, Martinelli, G, Pallante, E, Sachrajda, Christopher T C, Villadoro, Giovanni
Lenguaje:eng
Publicado: 2002
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/S0920-5632(03)01561-5
http://cds.cern.ch/record/578935
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author Lin, C J D
Martinelli, G
Pallante, E
Sachrajda, Christopher T C
Villadoro, Giovanni
author_facet Lin, C J D
Martinelli, G
Pallante, E
Sachrajda, Christopher T C
Villadoro, Giovanni
author_sort Lin, C J D
collection CERN
description We present the ingredients for determining $K^{+}\to\pi^{+}\pi^{0}$ matrix elements via the combination of lattice QCD and chiral perturbation theory ($\chi$PT). By simulating these matrix elements at unphysical kinematics, it is possible to determine all the low-energy constants (LECs) for constructing the physical $K^{+}\to\pi^{+}\pi^{0}$ amplitudes at next-to-leading order (NLO) in the chiral expansion. In this work, the one-loop chiral corrections are calculated for arbitrary meson four-momenta, in both $\chi$PT and quenched $\chi$PT (q$\chi$PT), and the finite-volume effects are studied.
id cern-578935
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2002
record_format invenio
spelling cern-5789352019-09-30T06:29:59Zdoi:10.1016/S0920-5632(03)01561-5http://cds.cern.ch/record/578935engLin, C J DMartinelli, GPallante, ESachrajda, Christopher T CVilladoro, Giovanni$K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumesParticle Physics - LatticeWe present the ingredients for determining $K^{+}\to\pi^{+}\pi^{0}$ matrix elements via the combination of lattice QCD and chiral perturbation theory ($\chi$PT). By simulating these matrix elements at unphysical kinematics, it is possible to determine all the low-energy constants (LECs) for constructing the physical $K^{+}\to\pi^{+}\pi^{0}$ amplitudes at next-to-leading order (NLO) in the chiral expansion. In this work, the one-loop chiral corrections are calculated for arbitrary meson four-momenta, in both $\chi$PT and quenched $\chi$PT (q$\chi$PT), and the finite-volume effects are studied.hep-lat/0209020SHEP-2002-18CERN-TH-2002-234oai:cds.cern.ch:5789352002-09-03
spellingShingle Particle Physics - Lattice
Lin, C J D
Martinelli, G
Pallante, E
Sachrajda, Christopher T C
Villadoro, Giovanni
$K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes
title $K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes
title_full $K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes
title_fullStr $K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes
title_full_unstemmed $K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes
title_short $K^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes
title_sort $k^{+}\to\pi^{+}\pi^{0}$ decays at next-to-leading order in the chiral expansion on finite volumes
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/S0920-5632(03)01561-5
http://cds.cern.ch/record/578935
work_keys_str_mv AT lincjd ktopipi0decaysatnexttoleadingorderinthechiralexpansiononfinitevolumes
AT martinellig ktopipi0decaysatnexttoleadingorderinthechiralexpansiononfinitevolumes
AT pallantee ktopipi0decaysatnexttoleadingorderinthechiralexpansiononfinitevolumes
AT sachrajdachristophertc ktopipi0decaysatnexttoleadingorderinthechiralexpansiononfinitevolumes
AT villadorogiovanni ktopipi0decaysatnexttoleadingorderinthechiralexpansiononfinitevolumes

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