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First lattice calculation of the QED corrections to Leptonic decay rates

First lattice calculation of the QED corrections to Leptonic decay rates
First lattice calculation of the QED corrections to Leptonic decay rates

The leading-order electromagnetic and strong isospin-breaking corrections to the ratio of Kμ2 and πμ2 decay rates are evaluated for the first time on the lattice, following a method recently proposed. The lattice results are obtained using the gauge ensembles produced by the European Twisted Mass Collaboration with Nf=2+1+1 dynamical quarks. Systematic effects are evaluated and the impact of the quenched QED approximation is estimated. Our result for the correction to the tree-level Kμ2/πμ2 decay ratio is -1.22(16)%, to be compared to the estimate of -1.12(21)% based on chiral perturbation theory and adopted by the Particle Data Group.

0031-9007
1-6
Giusti, D.
06093179-72be-4db9-b574-9c590e9d55b4
Lubicz, V.
8161bebb-280a-42e1-bba7-f445c9e2754e
Tarantino, C.
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Martinelli, G.
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Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Sanfilippo, F.
14276d98-365a-4c37-a808-f4e9aff31fdc
Simula, S.
8a99d2e2-3a93-463f-ad75-806579d6a668
Tantalo, N.
dad8443c-f768-41f5-947c-ac32db39c040
Giusti, D.
06093179-72be-4db9-b574-9c590e9d55b4
Lubicz, V.
8161bebb-280a-42e1-bba7-f445c9e2754e
Tarantino, C.
9eb36bb6-cee4-4dd7-8e49-5a00e24c1572
Martinelli, G.
3949da7a-7efe-4ebd-b1f7-92f1ca150d66
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Sanfilippo, F.
14276d98-365a-4c37-a808-f4e9aff31fdc
Simula, S.
8a99d2e2-3a93-463f-ad75-806579d6a668
Tantalo, N.
dad8443c-f768-41f5-947c-ac32db39c040

Giusti, D., Lubicz, V., Tarantino, C., Martinelli, G., Sachrajda, C.T., Sanfilippo, F., Simula, S. and Tantalo, N. (2018) First lattice calculation of the QED corrections to Leptonic decay rates. Physical Review Letters, 120 (7), 1-6, [072001]. (doi:10.1103/PhysRevLett.120.072001).

Record type: Article

Abstract

The leading-order electromagnetic and strong isospin-breaking corrections to the ratio of Kμ2 and πμ2 decay rates are evaluated for the first time on the lattice, following a method recently proposed. The lattice results are obtained using the gauge ensembles produced by the European Twisted Mass Collaboration with Nf=2+1+1 dynamical quarks. Systematic effects are evaluated and the impact of the quenched QED approximation is estimated. Our result for the correction to the tree-level Kμ2/πμ2 decay ratio is -1.22(16)%, to be compared to the estimate of -1.12(21)% based on chiral perturbation theory and adopted by the Particle Data Group.

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PhysRevLett.120.072001 - Version of Record
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Accepted/In Press date: 27 December 2017
e-pub ahead of print date: 13 February 2018
Published date: 2018

Identifiers

Local EPrints ID: 418407
URI: http://eprints.soton.ac.uk/id/eprint/418407
ISSN: 0031-9007
PURE UUID: 99795af3-93da-4fff-acf9-ea0c471d9693

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Date deposited: 07 Mar 2018 17:30
Last modified: 15 Mar 2024 18:46

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Contributors

Author: D. Giusti
Author: V. Lubicz
Author: C. Tarantino
Author: G. Martinelli
Author: C.T. Sachrajda
Author: F. Sanfilippo
Author: S. Simula
Author: N. Tantalo

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