Abstract
We study possibilities to realize a nonvanishing finite Wilson line (WL) scalar mass in flux compactification. Generalizing loop integrals in the quantum correction to WL mass at one-loop, we derive the conditions for the loop integrals and mode sums in one-loop corrections to WL scalar mass to be finite. We further guess and classify the four-point and three-point interaction terms satisfying these conditions. As an illustration, the nonvanishing finite WL scalar mass is explicitly shown in a six dimensional scalar QED by diagrammatic computation and effective potential analysis. This is the first example of finite WL scalar mass in flux compactification.
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Hirose, T., Maru, N. Nonvanishing finite scalar mass in flux compactification. J. High Energ. Phys. 2021, 159 (2021). https://doi.org/10.1007/JHEP06(2021)159
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DOI: https://doi.org/10.1007/JHEP06(2021)159