Fermi matrix element with isospin breaking

Details Fermi matrix element with isospin breaking Fermi matrix element with isospin breaking

2011-01-12

arxiv.org/abs/1101.2278v1

Phys.Lett.B696:536-538,2011

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1016/j.physletb.2011.01.005

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 $\beta$-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 $V_{ud}$ is no longer insignificant. Indeed, we suggest that the correction to the value of $|V_{ud}|^2 \, + \, |V_{us}|^2 \, + \, |V_{ub}|^2$ is at the level of $10^{-4}$.

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