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We study constraints from perturbativity and vacuum stability as well as theEWPD in the type II seesaw model. As a result, we can put stringent limits onthe Higgs triplet couplings depending on the cut-off scale. The EWPD tightlyconstrain the Higgs triplet mass splitting to be smaller than about 40 GeV.Analyzing the Higgs-to-diphoton rate in the allowed parameter region, we showhow much it can deviate from the Standard Model prediction for specificparameter points.

Vacuum Stability, Perturbativity, EWPD and Higgs-to-diphoton in Type II Seesaw