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5.8 Constraints on the Higgs sector

Since the constraints on various parameters of the mSME are so tight, one can derive interesting indirect constraints on unmeasured sectors by considering loop effects. Such an approach has been recently taken in [28], where loop corrections to mSME coefficients from Lorentz violation in the Higgs sector are considered. Such an approach could be used with any particle, but since the Higgs is an observationally hidden sector, such an analysis is more important as direct tests are unlikely any time soon. There are four parameters in the Higgs sector of the mSME (see Section 4.1.1).

Constraints on the antisymmetric part of (k )mn ff, which we denote (kA )mn ff, and (k )mn,(k )mn fB fW come from the birefringence constraints on photon propagation (see Section 6.3). Here the loop corrections to the photon propagator induce a non-zero (kF)abmn, which can be directly constrained. This yields a constraint on all three coefficients of order 10 -16. A bound (ksff)mn < 10 -13 can be derived from the cyclotron frequencies of hydrogen ions and anti-protons. Bounds on the CPT violating term (kf)m come from both the spin polarized torsion balance experiments and the noble gas maser. The torsion experiments bound the t and z components (where z is parallel to the earth’s rotation axis) at the level of 10-27 GeV and the transverse components at 10 -25 GeV. The He/Xe maser system gives a better, although less clean, bound on the transverse components of order 10- 31 GeV.


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