Radiative Corrections to the Higgs Boson Mass for a Hierarchical Stop Spectrum

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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42 pages, LaTeX, 13 figures

Scientific paper

10.1016/S0550-3213(01)00429-1

An effective theory approach is used to compute analytically the radiative corrections to the mass of the light Higgs boson of the Minimal Supersymmetric Standard Model when there is a hierarchy in the masses of the stops (M_st1 >> M_st2 >> M_top, with moderate stop mixing). The calculation includes up to two-loop leading and next-to-leading logarithmic corrections dependent on the QCD and top-Yukawa couplings, and is further completed by two-loop non-logarithmic corrections extracted from the effective potential. The results presented disagree already at two-loop-leading-log level with widely used findings of previous literature. Our formulas can be used as the starting point for a full numerical resummation of logarithmic corrections to all loops, which would be mandatory if the hierarchy between the stop masses is large.

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