Fermi matrix element with isospin breaking
Date
2011
Authors
Guichon, P.
Thomas, A.
Saito, K.
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Journal article
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Physics Letters B: Nuclear Physics and Particle Physics, 2011; 696(5):536-538
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P.A.M. Guichon, A.W. Thomas and K. Saito
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Abstract
Prompted by the level of accuracy now being achieved in tests of the unitarity of the CKM matrix, we consider the possible modification of the Fermi matrix element for the β-decay of a neutron, including possible in-medium and isospin violating corrections. While the nuclear modifications lead to very small corrections once the Behrends-Sirlin-Ademollo-Gatto theorem is respected, the effect of the u-d mass difference on the conclusion concerning Vud is no longer insignificant. Indeed, we suggest that the correction to the value of |V<inf>ud</inf>|<sup>2</sup>+|V<inf>us</inf>|<sup>2</sup>+|V<inf>ub</inf>|<sup>2</sup> is at the level of 10<sup>-4</sup>. © 2011 Elsevier B.V.
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Copyright 2011 Elsevier B.V. All rights reserved.