Complete Two-loop Dominant Corrections to the Mass of the Lightest CP-even Higgs Boson in the Minimal Supersymmetric Standard Model

Abstract

Using an effective potential approach, we compute two-loop radiative corrections to the MSSM lightest $\mathcal{C}\mathcal{P}$-even Higgs boson mass $M_{h^0}$ to $\mathcal{O}({\alpha }_t^2)$ for arbitrary left-right top-squark mixing and $\tan \beta$. We find that these corrections can increase $M_{h^0}$ by as much as 5 GeV; assuming a SUSY scale of 1 TeV, the upper bound on the Higgs boson mass is $M_{h^0}\approx 129\pm 5$ GeV for the top quark pole mass $175\pm 5$ GeV. We also derive an analytical approximation formula for $M_{h^0}$ which is good to a precision of $\lsim 0.5$ GeV for most of the parameter space and suitable to be further improved by including renormalization group resummation of leading and next-to-leading order logarithmic terms. Our final compact formula admits a clear physical interpretation: radiative corrections up to the two-loop level can be well approximated by a one-loop expression with parameters evaluated at the appropriate scales, plus a smaller finite two-loop threshold correction term.

34 pages, 8 figures. Minor typographic errors corrected. Add bottom Yukawa contributions in the Appendices

References in corpus (3)

• Reconciling the Two-Loop Diagrammatic and Effective Field Theory Computations of the Mass of the Lightest CP-even Higgs Boson in the MSSM
• The Standard Model Effective Potential at Two Loops
• MSSM Lightest CP-Even MSSM Higgs Boson Mass to O(alpha_s alpha_t): the Effective Potential Approach

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