The Mass of the Lightest Supersymmetric Higgs Boson beyond the Leading Logarithm Approximation

Physics – High Energy Physics – High Energy Physics - Phenomenology

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17 pages (2 figures not included)

Scientific paper

10.1103/PhysRevD.50.7035

We examine the radiative corrections to the mass of the lightest Higgs boson in the minimal supersymmetric extension of the standard model. We use the renormalization-group improved effective potential which includes the next-to-leading-order contributions. We find that, contrary to the result of Espinosa and Quir\'os, the higher-order corrections to the lightest Higgs boson mass are non-negligible, adding $3-11$ GeV ($3-9$ GeV) to the result in the leading logarithm approximation for the range of top quark mass $100 {\rm GeV} < m_t < 200 {\rm GeV}$ and for the supersymmetric breaking scale $M_{\rm SUSY} = 1 {\rm TeV}$ ($M_{\rm SUSY} = 10 {\rm TeV}$). Also we find that our result is stable under the change of the renormalization parameter $t$.

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