Numerical evaluation of a two loop diagram in the cutoff regularization

Details Numerical evaluation of a two loop diagram in the cutoff regularization Numerical evaluation of a two loop diagram in the cutoff regularization

2003-01-23

arxiv.org/abs/hep-ph/0301205v2

Commun.Theor.Phys. 40 (2003) 461-465

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, revtex, to appear in Comm. Theor. Phys

Scientific paper

The sunset diagram of $\lambda\phi^4$ theory is evaluated numerically in
cutoff scheme and a nonzero finite term (in accordance with dimensional
regularization (DR) result) is found in contrast to published calculations.
This finding dramatically reduces the critical couplings for symmetry breaking
in the two loop effective potential discussed in our previous work.

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