Novel Higgs Potentials from Gauge Mediation of Exact Scale Breaking

TL;DR

The paper develops a Gauge Mediated Exact Scale Breaking framework in which the SM sits at a UV scale-invariant fixed point and communicates with a hidden sector that spontaneously breaks scale invariance at f_c. Through gauge mediation, the radiatively induced Higgs potential acquires a logarithmic mass-squared term, yielding novel Higgs self-couplings while keeping other couplings SM-like. The potential depends on hidden-sector scales f_c(2), f_c(3) and parameters A_2, A_3 fixed by current correlators, predicting a new physics scale in the 1–10^3 TeV range and three phenomenological regimes for the Higgs potential. The work provides a calculable, UV-complete-like mechanism for EWSB, with testable implications in Higgs self-interactions and possible accompanying new states at high scales.

Abstract

We present a gauge mediation principle for BSM theories where exact UV scale invariance is broken in a hidden sector. The relevant configurations are those in which the Standard Model and a hidden sector emanate from a scale invariant pair of UV theories that communicate only via gauge interactions. We compute the radiatively induced Higgs potential which contains logarithmic mass-squared terms that lead to unusual Higgs self-couplings. Its other couplings are unchanged.

Figures (4)

• Figure 1: Schematic depiction of the UV fixed point structure required for GMESB. The SM couplings $g_{SM}$ and anomalous dimension are attracted to the fixed point at $A$, while the additional (hidden) sector to which it couples only via gauge interactions initiates a flow to point $B$ where it spontaneously breaks scale invariance.
• Figure 2: Leading radiative contributions to the Higgs mass squared coupling. The blob represents the scale anomaly of the $SU(2)_{W}$ and $SU(3)_{c}$ gauge groups respectively.
• Figure 3: Higgs potential with $m_h^2=125^2$, $\langle \phi \rangle\equiv v=246$ and $\lambda=(\frac{1}{4},\frac{1}{2},1,2) \frac{m_h^2}{\langle \phi \rangle^2}$.
• Figure 4: Keyhole contour for turning dimensional into cut-off regularisation, left. And, right, additional cancelling singularities appearing in a hypothetical UV complete theory allowing the arc to be taken to infinity.