title: Two-loop renormalization group equations in the standard model.
abstract: Two-loop renormalization group equations in the standard model are recalculated. A new coefficient is found in the beta function of the quartic coupling and a class of gauge invariants is found to be absent in the beta functions of hadronic Yukawa couplings. The two-loop beta function of the Higgs mass parameter is presented in complete form.
authors.affiliation: Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, People's Republic of China.
authors.forename: Mingxing
authors.initials: M
authors.lastname: Luo
authors.forename: Yong
authors.initials: Y
authors.lastname: Xiao