Abstract
Here we show that, a hidden vector field whose gauge invariance is ensured by a Stueckelberg scalar and whose mass is spontaneously generated by the Standard Model Higgs field contributes to quadratic divergences in the Higgs boson mass squared, and even leads to its cancellation at one-loop when Higgs coupling to gauge field is fine-tuned. In contrast to mechanisms based on hidden scalars where a complete cancellation cannot be achieved, stabilization here is complete in that the hidden vector and the accompanying Stueckelberg scalar are both free from quadratic divergences at one-loop. This stability, deriving from hidden exact gauge invariance, can have important implications for modeling dark phenomena like dark matter, dark energy, dark photon and neutrino masses. The hidden fields can be produced at the LHC.
Highlights
With the discovery of a new resonance at the Large Hadron Collider (LHC), having a mass mh = 125.9 ± 0.4 GeV [1] and couplings well consistent with the Standard Model (SM) predictions [2], the Higgs naturalness problem [3] has become the foremost problem to be tackled
Having no symmetry to prevent the Higgs boson mass from sliding to the higher scales via (1), frequently a cancellation mechanism is implemented via fine-tuning of counter terms in which low and high energy degrees of freedom are mixed
We show that V μ and S enable cancellation of the quadratic divergence in Higgs boson mass with no quadratic divergence arising in their own masses
Summary
Having no symmetry to prevent the Higgs boson mass from sliding to the higher scales via (1), frequently a cancellation mechanism is implemented via fine-tuning of counter terms in which low and high energy degrees of freedom are mixed In variance with all these approaches, a fine-tuning method based on singlet scalars [13] has been employed In this approach, the main idea is to cancel the quadratic divergences in Higgs boson mass with the loops of the singlet scalars that couple to Higgs field [14]. The main idea is to cancel the quadratic divergences in Higgs boson mass with the loops of the singlet scalars that couple to Higgs field [14] This method, though a fine-tuning operation by itself, nullifies the quadratic divergences and accommodates viable dark matter candidates [15,16].
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