In addition, one of the scalar masses is fixed to ∼ġ25 GeV, where we distin-guish between the high-mass ( m h ∼ m h, SM ) and low-mass ( m H ∼ m h, SM ) scenario. Wehere use the convention that m h ≤ m H, and choose as input parameters m h, m H, sin α, v, tan β ≡ vv s ,where v ∼Ģ46 GeV. Physically, the above potentialleads to a mixing between the gauge eigenstates, related via the mixing angle α according to h = c α ˜ h − s α h (cid:48), H = s α ˜ h + c α h (cid:48), where we used the shorthand notation s α ( c α ) ≡ sin α ( cos α ). (1.1)In the unitary gauge, the Higgs fields are given by Φ ≡ (cid:16) ˜ h + v √ (cid:17) T, S ≡ h (cid:48) + v s √, with v, v s denotingthe non-zero vacuum expectation values of the doublet and singlet. The most general renormalizable Lagrangian compatible with an additional Z symmetry isthen given by L s = ( D µ Φ ) † D µ Φ + ∂ µ S ∂ µ S − V ( Φ, S ), with the scalar potential V ( Φ, S ) = − m Φ † Φ − µ S + λ ( Φ † Φ ) + λ S + λ Φ † Φ S. The model contains a complex SU ( ) L doublet, in the following denoted by Φ, and a real scalar S which is a singlet under the SM gaugegroup. In this work we consider the simplest extension of the Standard Model (SM) Higgs sector,where an additional real scalar field is added. c (cid:13) Copyright owned by the author(s) under the terms of the Creative CommonsAttribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). We further-more discuss electroweak corrections to the H → hh partial decay width within this model.CP3-16-34, LPSC16110 XXIV International Workshop on Deep-Inelastic Scattering and Related Subjects11-15 April, 2016DESY Hamburg, Germany ∗ Speaker. For the second neutral (non-standard) Higgs boson the massrange up to 1 TeV accessible at past and current collider experiments is considered. We discuss the current status of theoretical and experimental constraints on the real Higgs singletextension of the Standard Model. Robens ∗ IKTP, Technische Universität DresdenZellescher Weg 19, D-01069 Dresden, GermanyE-mail:ĭepartment of Physics and Santa Cruz Institute for Particle PhysicsUniversity of California, Santa Cruz, CA 95064, USAE-mail: Laboratoire de Physique Subatomique et de CosmologieUniversité Grenoble-Alpes, CNRS/IN2P353 Rue des MartyrsF-38026 Grenoble Cedex, FranceE-mail: Ĭenter for Cosmology, Particle Physics and Phenomenology CP3Université catholique de LouvainChemin du Cyclotron 2, B-1348 Louvain-la-Neuve, BelgiumE-mail: TThe Higgs singlet extension at LHC Run 2
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