On Naturalness in type II seesaw models and the heavy Higgs masses

TL;DR

This paper investigates the naturalness problem in type II seesaw models, showing that the modified Veltman condition is satisfied within certain parameter regions, which constrains the heavy Higgs boson masses to specific upper bounds.

Contribution

It demonstrates that the modified Veltman condition can be satisfied in a constrained parameter space, significantly narrowing the allowed mass ranges for heavy Higgs bosons in type II seesaw models.

Findings

Modified Veltman condition satisfied at one loop

Upper bounds on charged Higgs masses at 288 and 351 GeV

Neutral Higgs bosons nearly degenerate at about 207 GeV

Abstract

Here we study naturalness problem in a type II seesaw model, and show that the Veltman condition modified (mVC) by virtue of the additional scalar charged states is satisfied at one loop within a region of the allowed parameter space of the model. The latter is severely constrained by unitarity and boundedness from below as well as by consistency with the diphoton Higgs decay data of the LHC run 1. In this context, our analysis of the naturalness condition affects dramatically the masses of heavy Higgs bosons $H^0$, $A^0$, $H^\pm$ and $H^{\pm\pm}$, reducing the ranges of variation of $m_{H^\pm}$ and $m_{H^{\pm\pm}}$ with an upper bounds at 288 and 351 GeV, respectively, while the neutral Higgs bosons $H^0$, $A^0$ are found to be almost degenerate at about 207 GeV.