In this letter we study the Higgs mass in the NMSSM with supersymmetry breaking at high scales $M_{ SS}$. With the Standard Model as the effective low energy theory, the computation of the Higgs mass relies on the matching condition of the quartic coupling $\lambda$ at $M_{ SS}$. In the MSSM, the latter is fixed to a semi-positive value and, thus, sets an upper bound on the SUSY-breaking scale near $M_{ SS}\simeq 10^{ 10}\text{ GeV}$. In the NMSSM, $\lambda(M_{ SS})$ receives an additional contribution induced by the singlet which allows for negative values of $\lambda(M_{ SS})$. In turn, for the measured value of the Higgs mass we find that $M_{ SS}$ can take any value up to the GUT scale. Furthermore, the choice of universal soft terms favors SUSY-breaking scales close to the GUT scale.
Categories: hep-ph hep-th