12–15 Jul 2015
IPPP, Durham University
Europe/London timezone

Fred Jegerlehner: The SM as a low-energy effective theory: what is triggering the Higgs mechanism and inflation?

13 Jul 2015, 09:30
55m
OC 218 (IPPP, Durham University)

OC 218

IPPP, Durham University

IPPP, Durham University
::

Summary

The Higgs has been discovered to have a very peculiar mass value, which,
depending on some technical details in calculating MSbar parameters in
terms of physical ones, allows the Standard Model to work up to the Planck
scale. This requires the Higgs potential to remain stable. If so, it turns
out that the bare Higgs mass square changes sign at some value below the
Planck scale. Assuming that the SM is a low energy effective theory of
some cutoff system residing at the Planck scale, the bare parameters are
the ones relevant at very high energies as they existed in the early
universe after the Big Bang. The change of sign of the bare Higgs mass
square triggers the Higgs mechanism. The broken phase characterized by a
non-vanishing Higgs vacuum expectation value is realized below the Higgs
transition temperature, while in the very early universe the SM is in the
symmetric phase, characterized by a large quadratically cutoff-enhanced
mass term, which helps to trigger inflation. In fact there is also a large
calculable quartically enhanced positive cosmological constant, which
gives additional support for the Higgs to be the Inflaton. Detailed
calculations show that Higgs inflation actually works and agree with
patterns known from CMB data. The cosmological constant surprisingly also
exhibits a zero close to the Higgs transition point. At the zeros the
quadratically and quartically enhanced contributions vanish and
renormalized parameters of the broken phase match with the bare parameters
relevant in the high energy phase of inflation and which grow power like
as the energy increases. Possible consequences of such a scenario for
Baryogenesis are briefly mentioned.

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