Higgs Boson Mass Bounds in Seesaw Extended Standard Model with Non-Minimal Gravitational Coupling

TL;DR

This paper explores how non-minimal gravitational coupling affects Higgs boson mass bounds within seesaw extended Standard Models, revealing a lower mass bound near 120 GeV for certain coupling values.

Contribution

It analyzes the impact of non-minimal gravitational coupling on Higgs mass bounds in type I and III seesaw models, providing new constraints based on vacuum stability and perturbativity.

Findings

Lower Higgs mass bound around 120 GeV for type III seesaw with specific coupling values

Effective ultraviolet cutoff scale is approximately m_P/ξ, linking gravity and Higgs physics

Implications for Higgs mass predictions in extended Standard Models with gravity coupling

Abstract

In the presence of non-minimal gravitational coupling $ \xi H^\dagger H {\cal R}$ between the standard model (SM) Higgs doublet $H$ and the curvature scalar ${\cal R}$, the effective ultraviolet cutoff scale is given by $\Lambda_{\rm cut}\approx m_P/\xi$, where $m_P$ is the reduced Planck mass, and $\xi \gtrsim 1$ is a dimensionless coupling constant. In type I and type III seesaw extended SM, which can naturally explain the observed solar and atmospheric neutrino oscillations, we investigate the implications of this non-minimal gravitational coupling for the SM Higgs boson mass bounds based on vacuum stability and perturbativity arguments. A lower bound on the Higgs boson mass close to 120 GeV is realized with type III seesaw and $\xi \sim 10-10^3$.