Standard model stability bounds for new physics within LHC reach

Abstract

We analyse the stability lower bounds on the Standard Model Higgs mass by carefully controlling the scale independence of the effective potential. We include resummed leading and next-to-leading-log corrections, and physical pole masses for the Higgs boson, M H , and the top-quark, M t . Particular attention is devoted to the cases where the scale of new physics Λ is within LHC reach, i.e. Λ ≤ 10 TeV, which have been the object of recent controversial results. We clarify the origin of discrepancies and confirm our earlier results within the error of our previous estimate. In particular for Λ = 1 TeV we find that M H[GeV]>52+0.64(M 1[GeV]−175)−0.50 α s(M Z−0.118 0.006 For fixed values of M t and α s ( M Z ), the error from higher effects, as the lack of exact scale invariance of the effective potential and higher-order radiative corrections, is conservatively estimated to be ≲ 5 GeV.