Vacuum stability, perturbativity, and scalar singlet dark matter
We analyze the one-loop vacuum stability and perturbativity bounds on a singlet extension of the Standard Model (SM) scalar sector containing a scalar dark matter candidate. We show that the presence of the singlet-doublet quartic interaction relaxes the vacuum stability lower bound on the SM Higgs mass as a function of the cutoff and lowers the corresponding upper bound based on perturbativity considerations. We also find that vacuum stability requirements may place a lower bound on the singlet dark matter mass for given singlet quartic self coupling, leading to restrictions on the parameter space consistent with the observed relic density. We argue that discovery of a light singlet scalar dark matter particle could provide indirect information on the singlet quartic self-coupling.
Additional Information© SISSA 2010. Received: 11 November 2009. Revised: 12 December 2009. Accepted: 17 December 2009. Published online: 14 January 2010. This work was supported in part by Department of Energy contract DE-FG02-08ER41531 and the Wisconsin Alumni Research Foundation. We thank P. Langacker, D. J. H. Chung, and D. Hooper for useful discussions and M. McCaskey for providing the numerical dark matter detection limits as a function of the dark matter mass. We thank M. Sher for a careful reading of this manuscript and useful comments. MJRM also thanks NORDITA, the Aspen Center for Physics, and the TRIUMF Theory Group where part of this work was completed.
Submitted - 0910.3167