<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:mi mathvariant="script">F</mml:mi></mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:math>values of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>mirror β transitions

A complete survey is presented of all half-life and branching-ratio measurements related to the isospin $T=1/2$ mirror \ensuremath{\beta} transitions ranging from $^{3}\mathrm{He}$ to $^{83}\mathrm{Mo}$. No measurements are ignored, although some are rejected for cause. Using the decay energies obtained in the 2003 Mass Evaluation experimental $\mathit{ft}$ values are then determined for the transitions up to $^{45}\mathrm{V}$. For the first time also all associated theoretical corrections needed to convert these results into ``corrected'' $\mathcal{F}t$ values, similar to the superallowed ${0}^{+}\ensuremath{\rightarrow}{0}^{+}$ pure Fermi \ensuremath{\beta} transitions, were calculated. Precisions of the resulting values are in most cases between 0.1 and 0.4%. These $\mathcal{F}{t}^{\mathrm{mirror}}$ values can now be used to extract precise weak interaction information from past and ongoing correlation measurements in the beta decay of the $T=1/2$ mirror \ensuremath{\beta} transitions.

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