"Heavy quarks within electroweak multiplet"

Dr. Jaime Besprosvany, Instituto de Física, UNAM


Standard-model fields and their associated electroweak Lagrangian are equivalently expressed in a shared spin basis. The scalar-vector terms are written with scalar-operator components acting on quark-doublet elements, and shown to be parametrization-invariant. Such terms, and the t- and b-quark Yukawa terms are linked by the identification of the common mass-generating Higgs operating upon the other fields, after acquiring a vacuum expectation value v . Thus, the customary vector masses are related to the fermions', fixing the t-quark mass m_t with the relation m_t^2+m_b^2=v^2/2, either for maximal hierarchy, or given the b-quark mass m_b , implying m_t =~ 173.9 GeV, for v=246 GeV. An interpretation follows that electroweak bosons and heavy quarks belong in a multiplet. [Ref. https://arxiv.org/abs/1701.01191]