Disrupting the one-loop renormalization group invariant M/alpha in supersymmetry

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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43 pages, LaTeX, uses epsf.sty, axodraw.sty, 12 eps figures. Minor typos corrected. To appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(98)00593-8

It is well known that in low energy supersymmetry the ratio of the gaugino mass to the gauge coupling squared, M/alpha, is renormalization group invariant to one-loop. We present a systematic analysis of the corrections to this ratio, including standard two-loop corrections from gauge and Yukawa couplings, corrections due to an additional U(1)' gaugino, threshold corrections, superoblique corrections, corrections due to extra matter, GUT and Planck scale corrections, and ``corrections'' from messenger sectors with supersymmetry breaking communicated via gauge-mediation. We show that many of these effects induce corrections at the level of a few to tens of percent, but some could give much larger corrections, drastically disrupting the renormalization group extrapolation of the ratio to higher scales. Our analysis is essentially model-independent, and therefore can be used to determine the ambiguities in extrapolating the ratio in any given model between the weak scale and higher scales.

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