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Upper bound on the cutoff in lattice Electroweak theory
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We investigate numerically lattice Weinberg - Salam model without fermions for realistic values of the fine structure constant and the Weinberg angle. We also analyze the data of the previous numerical investigations of lattice Electroweak theory. We have found that moving along the line of constant physics when the lattice spacing $a$ is decreased, one should leave the physical Higgs phase of the theory at a certain value of $a$. Our estimate of the minimal value of the lattice spacing is $a_c = [430\pm 40 {\rm Gev}]^{-1}$.
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Varieties of electrically charged physical states in SU(2)$\times$U(1) lattice gauge Higgs theory
New orthogonal constructions of charged physical states in SU(2)×U(1) lattice gauge-Higgs theory with a static fermion reveal multiple masses in the charged spectrum.
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