Reconciling the Two-Loop Diagrammatic and Effective Field Theory Computations of the Mass of the Lightest CP-even Higgs Boson in the MSSM

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dc.creatorCarena, M.
dc.creatorHaber, H. E.
dc.creatorHeinemeyer, S.
dc.creatorHollik, W.
dc.creatorWagner, C. E. M.
dc.creatorWeiglein, G.
dc.date2000-01-01
dc.date2000-07-13
dc.date.accessioned2026-07-07T10:51:58Z
dc.date.available2026-07-07T10:51:58Z
dc.descriptionThe mass of the lightest CP-even Higgs boson of the minimal supersymmetric extension of the Standard Model (MSSM) has previously been computed including O(alpha alpha_s) two-loop contributions by an on-shell diagrammatic method, while approximate analytic results have also been obtained via renormalization-group-improved effective potential and effective field theory techniques. Initial comparisons of the corresponding two-loop results revealed an apparent discrepancy between terms that depend logarithmically on the supersymmetry-breaking scale, and different dependences of the non-logarithmic terms on the squark mixing parameter, X_t. In this paper, we determine the origin of these differences as a consequence of different renormalization schemes in which both calculations are performed. By re-expressing the on-shell result in terms of MS-bar parameters, the logarithmic two-loop contributions obtained by the different approaches are shown to coincide. The remaining difference, arising from genuine non-logarithmic two-loop contributions, is identified, and its effect on the maximal value of the lightest CP-even Higgs boson mass is discussed. Finally, we show that in a simple analytic approximation to the Higgs mass, the leading two-loop radiative corrections can be absorbed to a large extent into an effective one-loop expression by evaluating the running top quark mass at appropriately chosen energy scales.
dc.description29 pages, 5 figures, LaTeX with axodraw and epsfig style files. Typographical errors have been fixed and references updated
dc.identifierhttps://arxiv.org/abs/hep-ph/0001002
dc.identifierhttp://arxiv.org/abs/hep-ph/0001002
dc.identifierNucl.Phys.B580:29-57,2000
dc.identifierdoi:10.1016/S0550-3213(00)00212-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185001
dc.subjectHigh Energy Physics - Phenomenology
dc.titleReconciling the Two-Loop Diagrammatic and Effective Field Theory Computations of the Mass of the Lightest CP-even Higgs Boson in the MSSM
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