Reconciling the two-loop diagrammatic and effective field theory computations of the mass of the lightest CP-even Higgs boson in the MSM

被引:288
作者
Carena, M
Haber, HE
Heinemeyer, S
Hollik, W
Wagner, CEM
Weiglein, G [1 ]
机构
[1] CERN, Div TH, CH-1211 Geneva 23, Switzerland
[2] Fermilab Natl Accelerator Lab, Batavia, IL 60510 USA
[3] Univ Calif Santa Cruz, Santa Cruz Inst Particle Phys, Santa Cruz, CA 95064 USA
[4] DESY Theorie, D-22603 Hamburg, Germany
[5] Univ Karlsruhe, Inst Theoret Phys, D-76128 Karlsruhe, Germany
[6] Argonne Natl Lab, Div High Energy Phys, Argonne, IL 60439 USA
[7] Univ Chicago, Enrico Fermi Inst, Chicago, IL 60637 USA
关键词
D O I
10.1016/S0550-3213(00)00212-1
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The 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 nonlogarithmic terms on the squark mixing parameter, XI, In this paper, we determine the origin of these differences as a consequence of different renormalization schemes in which both calculations are performed. By reexpressing the on-shell result in terms of MS parameters, the logarithmic two-loop contributions obtained by the different approaches are shown to coincide. The remaining difference, arising from genuine nonlogarithmic 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. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码:29 / 57
页数:29
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