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Mass bounds of the lightest CP-even Higgs boson in the two-Higgs-doublet model
Affiliation:1. Theory Group, KEK, Tsukuba, Ibaraki 305-0801, Japan;2. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany;1. SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA;2. Institut für Physik (THEP) Johannes Gutenberg-Universität, D-55099, Mainz, Germany;1. Institute of Theoretical Physics & State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China;2. Center for High Energy Physics, Peking University, Beijing 100871, China;3. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China;1. Amherst Center for Fundamental Interactions, Department of Physics, University of Massachusetts Amherst, MA 01003, USA;2. Department of Physics, National Taiwan University, Taipei 10617, Taiwan;3. Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS), Daejeon 34051, Republic of Korea;1. International Academy of Astronautics, 75116 Paris, France;2. Sapienza University of Rome, 00138 Rome, Italy
Abstract:The upper and the lower bounds of the lightest CP-even Higgs-boson mass (mh) are discussed in the two-Higgs-doublet model (2HDM) with a softly-broken discrete symmetry. They are obtained as a function of a cut-off scale Λ (≤1019 GeV) by imposing the conditions in which the running coupling constants neither blow up nor fall down below Λ. In comparison with the standard model (SM), although the upper bound does not change very much, the lower bound is considerably reduced. In the decoupling regime where only one Higgs boson (h) becomes much lighter than the others, the lower bound is given, for example, by about 100 GeV for Λ=1019 GeV and mt=175 GeV, which is smaller by about 40 GeV than the corresponding lower bound in the SM. In generic cases, mh is no longer bounded from below by these conditions. If we consider the b constraint, small values of mh are excluded in Model II of the 2HDM.
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