256 research outputs found
Can A Pseudo-Nambu-Goldstone Higgs Lead To Symmetry Non-Restoration?
The calculation of finite temperature contributions to the scalar potential
in a quantum field theory is similar to the calculation of loop corrections at
zero temperature. In natural extensions of the Standard Model where loop
corrections to the Higgs potential cancel between Standard Model degrees of
freedom and their symmetry partners, it is interesting to contemplate whether
finite temperature corrections also cancel, raising the question of whether a
broken phase of electroweak symmetry may persist at high temperature. It is
well known that this does not happen in supersymmetric theories because the
thermal contributions of bosons and fermions do not cancel each other. However,
for theories with same spin partners, the answer is less obvious. Using the
Twin Higgs model as a benchmark, we show that although thermal corrections do
cancel at the level of quadratic divergences, subleading corrections still
drive the system to a restored phase. We further argue that our conclusions
generalize to other well-known extensions of the Standard Model where the Higgs
is rendered natural by being the pseudo-Nambu-Goldstone mode of an approximate
global symmetry.Comment: 21 pages, 5 figures. v2: fixed problem related to references with
9-digit arXiv identifiers. v3: references added v4: Some clarifications and
more references added; matches published versio
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