Comment on ``Improved Calculation of Electroweak Radiative Corrections and the Value of $V_{ud}$ by Marciano and Sirlin''
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In a recent letter Marciano and Sirlin (Phys. Rev. Lett. 96, 032002, (2006)) presented an improved calculation of the electroweak radiative correction to derive a precision value of the quark mixing angle $V_{ud}$ by improving the continuation from long to short distance contributions. At the precision level considered by them, however, there is a more important contribution from weak magnetism that was not included by their calculation. The addition of the weak magnetism contribution to the superallowed beta-decay radiative corrections lowers $V_{ud}$ by 0.00023, which is compared with the increase 0.00007 of Marciano and Sirlin and their error estimate $\pm 0.0002$.
This paper has been withdrawn by the authors due to an error in the calculation on which the present work is based
This paper has been withdrawn by the authors due to an error in the calculation on which the present work is based