arXiv subjects
Publications and source records attributed to Chungku Kim.
e have investigated the gauge parameter dependence of the Higgs pole masses in the multi-Higgs model in two different types of the gauge fixing conditions. It turns out that the Higgs pole masses of the multi-Higgs model when expressed in terms of the Lagrangian parameters, are independent of the gauge parameter for both cases.
We introduce an on shell renormalization scheme in which the mass parameter of minimal MS scheme is replaced with the pole mass obtained from the loop order expansion of the pole mass in the MS scheme. As a consequence, the quartic coupling constant remains same as that of the MS scheme and the vacuum expectation value gets contributions from the one-particle-irreducible diagrams. We also show the renormalization group invariance of the pole mass in this scheme.
We have investigated the renormalization group running of the pole mass in the multi-Higgs theory in two different types of the gauge fixing conditions. It turns out that the pole mass when expressed in terms of the Lagrangian parameters, is invariant under the renormalization group with the beta and gamma functions of the symmetric phase.
We investigate the renormalization group (RG) running of the effective potential and the pole mass in the broken symmetry phase of the $R_{ξ}$ and the $\overline{R_{ξ}}$ gauges which have different RG running for the effective potential in the symmetric phase and show that if the vacuum expectation value (VEV) is expressed as a function of the other parameters of the theory by solving the minimization condition, then the effective potential in the broken symmetry phase in both gauges satisfies the same RG equation as one in the symmetric phase of the $\overline{R_{ξ}}$ gauge. The pole masses in the broken symmetry phase of both gauges are RG invariant with respect to the RG funtions of the symmetric phase and are shown to be the same at one-loop order.
We have investigated the gauge dependence of the vacuum expectation value(VEV) both in the $R_{ξ}$ and the $\overline{R_{ξ}}$ gauge in the $\overline{MS}$ scheme. We have found that, in case of the $R_{ξ}$ 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.
We have investigated the renormalization group evolution and the perturbative expansion of the vacuum expectation value(VEV) of the Abelian Higgs model both in the $R_{ξ}$ and the general gauge which extrapolate between the Fermi and the $\overline{R_{ξ}\text{ }}$ gauge. In $R_{ξ}$ gauge, the gamma function of the VEV was different from that of the scalar field. On the contrary, the gamma function of the VEV was same as that of the scalar field in general gauge. Both in $R_{ξ}\text{ }$ and $\overline{% R_{ξ}\text{ }}$ gauge, the two-loop VEVs have an IR divergences in Landau gauge($ξ=0$) and these IR divergence do not occur when $ξ\neq 0$.
We obtain the one-loop pole mass of the standard model Higgs which is invariant under the beta functions of the MS\ scheme by following the procedure in which the classical action in the broken symmetry phase was obtaind by adding the $O(\hbar)$ expansion of the vacuum expection value determined from the effective potential of the unbroken phase to the Higgs field $H$.
We prove the renormalization group(RG) invariance of the pole mass with respect to the RG functions of the minimal subtraction(MS) scheme and illustrate this in case of the the neutral scalar field theory both in the symmetric and in the broken symmetry phase.
We investigate the renormalization group(RG) evolution for the neutral scalar field theory in the broken symmetry phase. By using the minimum condition of the vacuum expectation value(VEV), we show that the RG evlution of the effective potential in the broken symmetry phase is governed by the same RG functions in case of the symmetric phase.
We obtain the renormalization group(RG) functions for the $O(N)$ scalar field theory and the Higgs-Yukawa field theory with the Coleman-Weinberg mechanism in which the symmetry breaking occurs radiatively by using the method proposed previously in case of the neutral scalar field theory.
We obtain the renormalization group(RG) functions for the massless scalar field theory where symmetry breaking occurs radiatively. After obtaining the effective potential for the radiative symmetry breaking scheme from that of the minimal subtraction(MS) scheme by finite transformations for the classical field and coupling constant, we calculate the corresponding change of the RG functions.
We derive a recursion relation of the Feynman diagrams of the effective action for the third Legendre transformation in case of the bosonic field theory with cubic interaction. We apply the recursion relation to obtain the Feynman diagrams of the effective action for the third Legendre transformation up to the five-loop order. The three-particle irreducibility of the Feynman diagrams of the effective action for the third Legendre transformation is shown by induction.
We derive a new recursion relation to obtain the Feynman diagrams of the Cornwall-Jackiw-Toumboulis(CJT) effective action by using the functional derivative identities. By using this recursion relation we show the two-particle-irreducibility of the Feynman diagrams of the CJT effective action by induction. We apply the recursion relation to obtain the Feynman diagrams of the CJT effective action up to the four-loop order in case of the bosonic field theory.
We derive a new kind of recursion relation to obtain the one-particle-irreducible (1PI) Feynman diagrams for the effective action. By using this method, we have obtained the graphical representation of the four-loop effective action in case of the general bosonic field theory which have vertices higher than the four-point vertex.
We obtain the renormalization group improvement of the effective potential for the Coleman-Weinberg model by resumming the leading logarithms which have three different mass scales. Then, we investigate the effect of the multi-mass scale on the prediction of the magnitude of the Higgs boson mass by considering the two-loop effective potential.