Two-loop corrections and predictability on orbifold

Details Two-loop corrections and predictability on orbifold Two-loop corrections and predictability on orbifold

2009-09-04

arxiv.org/abs/0909.0825v2

Nucl.Phys.B827:311-336,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 4 figures, discussion on even higher order corrections and counterterms and the associated section are added

Scientific paper

10.1016/j.nuclphysb.2009.11.005

We study quantum loop corrections to two-point functions and extraction of physical quantities in a five-dimensional $\phi^4$ theory on an orbifold. At two-loop level, we find that divergence for quartic derivative terms of $(p^2)^2$ appear as Lagrangian terms in the bulk. The counterterms are needed and these terms make propagators have two poles. With this effect taken into account, corrections to masses are derived. We show that for extraction of physical quantities for two-point functions an ultraviolet cutoff must be orders of magnitude larger compared to a compactification scale. Even higher derivative corrections at higher loop levels are also discussed.

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