Higgsed Stueckelberg Vector and Higgs Quadratic Divergence

TL;DR

This paper demonstrates that a hidden vector field with Stueckelberg scalar, coupled to the Higgs, can cancel quadratic divergences in the Higgs mass at one-loop, offering a new stabilization mechanism linked to gauge invariance.

Contribution

It introduces a novel stabilization mechanism for the Higgs mass using a hidden vector and Stueckelberg scalar, achieving complete cancellation of quadratic divergences at one-loop.

Findings

Hidden vector field cancels Higgs quadratic divergences at one-loop.

Stability arises from hidden gauge invariance.

Potential implications for dark matter and related phenomena.

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 modelling dark phenomena like dark matter, dark energy, dark photon and neutrino masses. The hidden fields can be produced at the LHC.