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Aspects of the Higgs Pole Mass in Various Gauges
New Phys.: Sae Mulli 2020; 70: 19~23
Published online January 31, 2020;
© 2020 New Physics: Sae Mulli.

Chungku KIM*

Department of Physics, Keimyung University, Daegu 42601, Korea
Correspondence to:
Received October 11, 2019; Revised December 3, 2019; Accepted December 3, 2019.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigated the determination of the pole mass for the broken symmetry phase of the Abelian Higgs model in the $R_{\xi }$, Landau and the unitary gauges. In the case of the $R_{\xi }$ and Landau gauges, we obtained the same finite renormalized two-point functions, which were scale independent. Especially in the Landau gauge, the basic one-loop integral with zero mass $B(0,0)$\ appearing in the renormalized two-point function which was originated from the $\xi $ dependent masses, canceled out in the resulting pole mass. In the case of the unitary gauge, the problem of renormalization occurs in the two-point function, and if we take only the finite part of the $% p^{4}$ term in the two point function, then we obtain the same result for the pole mass as in case of the $R_{\xi }$ and Landau gauges.
PACS numbers: 11.15.Bt, 12.38.Bx
Keywords: Pole mass, Gauge

January 2020, 70 (1)
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