On the properties of the vacuum expectation value in $R_{\xi }$ gauge and $\overline{R_{\xi }}$ gauge

Abstract

We have investigated the gauge dependence of the vacuum expectation value(VEV) both in the $R_{\xi }$ and the $\overline{R_{\xi }}$ gauge in the $\overline{MS}$ scheme. We have found that, in case of the $R_{\xi }$ gauge, the gauge dependence of the VEV should be modified due to the presence of the parameter in the gauge function that should be identified as a VEV in the broken symmetry phase. However the pole mass remains gauge independent.