%0 Journal Article %T The Screening Mass Squared in Hot Scalar Theory to Order $g^5$ Using Effective Field Theory %A J. O. Andersen %J Physics %D 1997 %I arXiv %R 10.1103/PhysRevD.57.5004 %X We study massless $g^2\Phi^4$-theory at high temperature and with zero chemical potential. Using modern effective field theory methods,% recently developed by Braaten and Nieto, we derive the screening mass squared to order $g^5$. It is demonstrated that the result is renormalization group invariant to this order in the coupling constant. Renormalization group methods are used to sum up leading logarithms of $g$. %U http://arxiv.org/abs/hep-ph/9708276v2