This paper is based on arXiv:1802.00448 where we construct the complete set of minimal 3-point vertices for the massive Standard Model (SM) based purely on symmetry principles, mass dimension and high-energy behavior and without any recourse to field theory, gauge symmetries or Feynman rules. Because the gravitational vertices are no more challenging than any other vertices in this...
A gauge theory with the gauge group $SU(2)_L$ is the simplest non-abelian spontaneous symmetry breaking theory. Its’ simplest bosonic representation is a complex scalar doublet in the linear representation with a scalar $h$, pseudoscalars $\vec{\pi}$ and vector gauge bosons $\vec{W}_{\mu}$. We observe that the on-shell T matrix elements of physical states are independent of global $SU(2)_L$...
A lattice version of the widely used Functional Renormalization Group (FRG) for the Legendre effective action is solved (exactly) in terms of a linked cluster expansion. The graph rules invoke only one-line irreducible graphs and a new type of labeled tree graphs. Conversely the FRG induces nonlinear flow equations governing suitable resummations of the graph expansion. The correspondence is...
Recent lattice calculations have shown that confining gauge theories with a number of light fermion flavors just below the critical value for transition to infrared conformal behavior possess a light scalar composite state. Such nearly conformal gauge theories could be responsible for the breaking of electroweak symmetry with the light scalar interpreted as a Composite Higgs. Finding a...
We construct asymptotically safe extensions of the Standard Model by adding gauged vector-like fermions. Using large number-of-flavour techniques we argue that all gauge couplings, including the hypercharge and, under certain conditions, the Higgs coupling can achieve an interacting ultraviolet fixed point.
Soft Collinear Effective Theory (SCET) has originally been developed in the framework of QCD. SCET for QCD facilitates calculation of scattering amplitudes for jets of highly collimated and energetic particles with soft radiations in a systematic and efficient way. A small parameter, $\lambda$, is used to describe the soft and collinear regions of the phase space. As a consequence the...
We propose the Domain-Wall(DW) Standard model(SM), where all the SM fields are localized in a non-compact 5D space-time. The DWSM has several interesting implications. Particularly, the interplay between DW fermions and DW gauge bosons is dependent on their mutual configuration in the 5D bulk. By localizing left and right-handed fermions in different places throughout the bulk, this...
