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Effects of a Real Singlet Scalar on Veltman Condition · Around

2014

Effects of a Real Singlet Scalar on Veltman Condition

Karahan, Canan Nurhan, Korutlu, Beste

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We revisit the fine-tuning problem in the Standard Model (SM) and show the modification in Veltman condition by virtue of a minimally-extended particle spectrum with one real SM gauge singlet scalar field.

We demand the new scalar to interact with the SM fields through Higgs portal only, and that the new singlet to acquire a vacuum expectation value, resulting in a mixing with the CP-even neutral component of the Higgs doublet in the SM.
The experimental bounds on the mixing angle are determined by the observed best-fit signal strength $\sigma/\sigma_{\rm SM}$.
While, the one-loop radiative corrections to the Higgs mass squared, computed with an ultraviolet cut-off scale $\Lambda$, comes with a negative coefficient, the quantum corrections to the singlet mass squared acquires both positive and negative values depending on the parameter space chosen, which if positive might be eliminated by introducing singlet or doublet vector-like fermions.

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