Heavy quarks within the electroweak multiplet

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_t² +m_b²=v²/2 either for maximal hierarchy, or given the b-quark mass m_b, implying m_t ≈173.9 GeV, for v=246 GeV. A sum rule is derived for all quark masses that generalizes this restriction.

arXiv:1701.01191v2 [hep-ph] , To be published, PRD (2019).