(Non)decoupling of the Higgs triplet effects |
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Authors: | PH Chankowski S Pokorski J Wagner |
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Institution: | (1) Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland |
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Abstract: | We consider the electroweak theory with an additional Higgs triplet at one loop, using the hybrid renormalization scheme based
on αEM, GF and MZ as input observables. We show that in this scheme loop corrections can in a natural way be split into a standard model part
and corrections due to “new physics”. The latter, however, do not decouple in the limit of an infinite triplet mass parameter,
if the triplet trilinear coupling to the SM Higgs doublets grows with the triplet mass. For electroweak observables computed
at one loop this effect can be attributed to the radiative generation in this limit of a nonvanishing vacuum expectation value
of the triplet. We also point out that whenever tree level expressions for the electroweak observables depend on vacuum expectation
values of scalar fields other than the standard model Higgs doublet, a tadpole contribution to the “oblique” parameter T should
in principle be included. The origin of nondecoupling is discussed also on the basis of symmetry principles in a simple scalar
field theory. |
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Keywords: | |
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