000032325 001__ 32325
000032325 005__ 20190517104833.0
000032325 022__ $$a1347-4081
000032325 0247_ $$2DOI$$a10.1093/ptep/ptz022$$t2019-03-01T16:14:51Z
000032325 037__ $$9arXiv$$aarXiv:1901.05200
000032325 100__ $$aOkane, Hideaki$$mhideaki-ookane@hiroshima-u.ac.jp$$vGraduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan$$wJapan
000032325 245__ $$aConstruction of a renormalization group improved effective potential in a two real scalar system
000032325 260__ $$bOxford University Press/Physical Society of Japan$$c2019-04-16
000032325 300__ $$a19
000032325 520__ $$9Oxford$$a We study the improvement of an effective potential by a renormalization group (RG) equation in a two real scalar system. We clarify the logarithmic structure of the effective potential in this model. Based on the analysis of the logarithmic structure of it, we find that the RG improved effective potential up to th-to-leading log order can be calculated by the -loop effective potential and -loop and functions. To obtain the RG improved effective potential, we choose the mass eigenvalue as a renormalization scale. If another logarithm at the renormalization scale is large, we decouple the heavy particle from the RG equation and we must modify the RG improved effective potential. In this paper we treat such a situation and evaluate the RG improved effective potential. Although this method was previously developed in a single scalar case, we implement the method in a two real scalar system. The feature of this method is that the choice of renormalization scale does not change even in a calculation of higher leading log order. Following our method one can derive the RG improved effective potential in a multiple scalar model.
000032325 540__ $$aCC-BY-3.0$$uhttp://creativecommons.org/licenses/by/3.0/
000032325 542__ $$f© The Author(s) 2019
000032325 592__ $$a2019-04-16
000032325 773__ $$c043B03$$n4$$pPTEP$$v2019$$y2019
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