Abstract
The aim of this study is to investigate the quadratic divergences using dimensional regularization within the context of the Standard Model (SM) extended by two real scalar singlets (TRSM). This extension provides three neutral scalar fields that mix, after developing its VEVs, leading to three CP-even Higgs bosons, namely, h_1, h_2 and h_3, which would offer a wide phenomenology at the Large Hadron Collider (LHC), as reported recently. Furthermore, to fulfill the Veltman conditions for those three fields, we concentrate on the one-loop level (d_L=2) of dimensional regularization calculations, assuming R_{xi } Feynman–’t Hooft gauge-invariant, xi =1. We show that the divergence cancellation could take place in the framework of the TRSM for the SM-like Higgs boson predicting a stringent constraint on the space parameters as well as the new physics (NP) scale, and yet remain consistent with current experimental measurements at 13 TeV.
Highlights
Sion beyond the Standard Model (SM) (BSM) that is addressed must take this criterion into account to continue the search for new physics
That the Higgs boson is well established by Large Hadron Collider (LHC) experiments [3,4] with more precise measurements [5], as well as the fact that no other new particles have yet materialized at the LHC, any extena e-mail: rahililarbi@gmail.com sion beyond the SM (BSM) that is addressed must take this criterion into account to continue the search for new physics
To assess the TRSM space parameter, a random scan over the Higgs masses and the singlets’ VEVs up to 1.2 TeV has been performed in our study, while requiring the light Higgs boson h1 to behave as the SM Higgs boson observed at 125 GeV
Summary
The so-called Veltman condition (VC), though not unique, remains one of the options to deal with the naturalness problem. Taking as an example d = 4, such relation will reflect the significant quantum correction that the SM Higgs boson mass receives at one loop independently from the regularization procedure. We underline an extension where two real scalar singlets are added to the SM sector, TRSM This has been examined extensively BSM, notably to provide a basis for reopening the dark matter argument [19,20] and a wide phenomenological context [21,22].
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