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$K^{+} \to pi^{+} pi^{0}$ 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->pi pi decay amplitudes for Delta I=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 matri...
| Autores principales: | , , , , |
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| Lenguaje: | eng |
| Publicado: |
2002
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1016/S0550-3213(02)01038-6 http://cds.cern.ch/record/574830 |
| _version_ | 1780899364509581312 |
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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 necessary for the determination of physical K->pi pi decay amplitudes for Delta I=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 <pi pi(I=2)|O_W|K>, where O_W is one of the operators appearing in the Delta S=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. |
| id | cern-574830 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2002 |
| record_format | invenio |
| spelling | cern-5748302019-09-30T06:29:59Zdoi:10.1016/S0550-3213(02)01038-6http://cds.cern.ch/record/574830engLin, C J DMartinelli, GPallante, ESachrajda, Christopher T CVilladoro, Giovanni$K^{+} \to pi^{+} pi^{0}$ Decays on Finite Volumes and at Next-to-Leading Order in the Chiral ExpansionParticle Physics - LatticeWe present the ingredients necessary for the determination of physical K->pi pi decay amplitudes for Delta I=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 <pi pi(I=2)|O_W|K>, where O_W is one of the operators appearing in the Delta S=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.hep-lat/0208007CERN-TH-2002-130ROMA-1-1337SHEP-2002-13SISSA-2002-47-EPoai:cds.cern.ch:5748302002-08-02 |
| spellingShingle | Particle Physics - Lattice Lin, C J D Martinelli, G Pallante, E Sachrajda, Christopher T C Villadoro, Giovanni $K^{+} \to pi^{+} pi^{0}$ Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion |
| title | $K^{+} \to pi^{+} pi^{0}$ Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion |
| title_full | $K^{+} \to pi^{+} pi^{0}$ Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion |
| title_fullStr | $K^{+} \to pi^{+} pi^{0}$ Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion |
| title_full_unstemmed | $K^{+} \to pi^{+} pi^{0}$ Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion |
| title_short | $K^{+} \to pi^{+} pi^{0}$ Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion |
| title_sort | $k^{+} \to pi^{+} pi^{0}$ decays on finite volumes and at next-to-leading order in the chiral expansion |
| topic | Particle Physics - Lattice |
| url | https://dx.doi.org/10.1016/S0550-3213(02)01038-6 http://cds.cern.ch/record/574830 |
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