Violation of the Appelquist-Carazzone decoupling in non-SUSY GUT

Details Violation of the Appelquist-Carazzone decoupling in non-SUSY GUT Violation of the Appelquist-Carazzone decoupling in non-SUSY GUT

2007-07-16

arxiv.org/abs/0707.2323v1

Phys.Rev.D77:025033,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, no figures

Scientific paper

10.1103/PhysRevD.77.025033

We point out that in non supersymmetric GUTs, in which the SU(5) gauge symmetry is broken down to the Standard Model gauge group by a $\mathbf{24}$ Higgs multiplet the Appelquist-Carazzone decoupling is violated. This is because the $SU(2)_L$ Higgs triplet contained in the $\mathbf{24}$ acquires a dimensionfull coupling to the $SU(2)_L$ Higgs doublets which is proportional to the GUT breaking vacuum expectation value (VEV) $V$. As a result, at one loop heavy gauge and Higgs fields contribution to tadpoles generate a VEV of the triplet which is not suppressed for $V\to\infty$ and violates the custodial symmetry.

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