The scattering of carriers by charged dislocations in semiconductors is studied within the framework of the linearized Boltzmann transport theory with an emphasis on examining consequences of the extreme anisotropy of the scattering potential. A new closed-form approximate expression for the carrier mobility valid for all temperatures is proposed. The ratios of quantum and transport scattering times are evaluated after averaging over the anisotropy in the relaxation time. The value of the Hall scattering factor computed for charged dislocation scattering indicates that there may be a factor of two error in the experimental mobility estimates using the Hall data. An expression for the resistivity tensor when the dislocations are tilted with respect to the plane of transport is derived. Finally an expression for the isotropic relaxation time is derived when the dislocations are located within the sample with a uniform angular distribution.
The $\rho$-parameter, together with the W-and Z-masses, acts as Occam's razor
on extensions of the electroweak symmetry breaking sectors.
We apply this to non-doublet Higgs scenarios, by examining
 the CDF- $II$ claim on the W-boson mass. Suspending any judgement on the
 CDF claim, we show that
in general, theoretical models which predict $\rho =1$ at the tree-level
are inconsistent with the CDF claims at 4-6 standard deviations
 if one confines oneself to the existing Z-boson mass, and the earlier $M_W$ value 
 from either the global fit or the ATLAS data.
We take some well-motivated scenarios containing one or more scalar SU(2) triplets in addition
to the usual doublet, and show that, both a scenario including a
complex scalar triplet and one with a complex as well as a real triplet (the Georgi-Machacek model)
can be made consistent with the new data, where a small splitting
between the complex and the triplet vacuum expectation values
is required in the second scenario. We will explore the consequences of this splitting, either at tree level or via incalculable new physics contribution to $M_W$, and indicate, as illustrations its implications in $H^{\pm}W^{\mp}Z$ type interaction vertices.
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