Abstract
Using lattice simulations we demonstrate from first principles the existence of a nonperturbative mechanism for elementary particle mass generation in models with gauge fields, fermions, and scalars, if an exact invariance forbids power divergent fermion masses and fermionic chiral symmetries broken at UV scale are maximally restored. We show that in the Nambu-Goldstone phase a fermion mass term, unrelated to the Yukawa operator, is dynamically generated. In models with electroweak interactions weak boson masses are also generated, opening new scenarios for beyond the standard model physics.
Highlights
Introduction.—In spite of its impressive phenomenological success, the standard model (SM) of particle physics is believed to represent only an effective low energy theory, as it neither accounts for dark matter and quantum aspects of gravity nor provides enough CP violation for baryogenesis
Using lattice simulations we demonstrate from first principles the existence of a nonperturbative mechanism for elementary particle mass generation in models with gauge fields, fermions, and scalars, if an exact invariance forbids power divergent fermion masses and fermionic chiral symmetries broken at UV scale are maximally restored
Fermion and electroweak (EW) boson masses are described in terms of a wellestablished symmetry breaking pattern [1], but the SM is by construction unable to shed light on the problems of EW scale naturalness [2] and fermion mass hierarchy [3]
Summary
Ltoy 1⁄4 LkðQ; A; ΦÞ þ VðΦÞ þ LWðQ; A; ΦÞ þ LYðQ; ΦÞ ð1Þ with Lk and V representing standard kinetic terms and scalar potential. Ltoy includes an SU(3) gauge field, Aμ, with bare (renormalized) coupling g0 (gs), a Dirac doublet, Q 1⁄4 ðu; dÞT, transforming as a triplet under SU(3) and a complex scalar doublet, φ 1⁄4 ðφ0 þ iφ3; −φ2 þ iφ1ÞT, singlet under SU(3). For the latter we use the 2 × 2 matrix notation Φ 1⁄4 1⁄2φj − iτ2φÃ. The model has an UV cutoff ΛUV ∼ b−1 and includes a Yukawa term, LYðQ; ΦÞ 1⁄4 ηðQ LΦQR þ Q RΦ†QLÞ, as well as a nonstandard term
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