We point out a novel possible mechanism by which the electroweak hierarchy problem can be avoided in (effective) quantum field theory. Assuming existence of UV complete underlying fundamental theory and treating cutoff scale $\Lambda$ effective as real physical we argue that would solved if coefficient front quadratic divergences vanished for some choice $\Lambda$, mass parameters fixed at were hierarchically smaller than itself. While this most probably cannot work Standard Model is to...

We present an extended version of the Conformal Standard Model (characterized by absence any new intermediate scales between electroweak scale and Planck scale) with enlarged scalar sector coupling to right-chiral neutrinos. The potential Yukawa couplings involving only neutrinos are invariant under a global symmetry SU(3)$_N$ that complements standard U(1)$_{B-L}$ symmetry, is broken explicitly interaction, order $10^{-6}$, lepton doublets. point out four main advantages this enlargement,...

The Conformal Standard Model (CSM) is a minimal extension of the Particle Physics based on assumed absence large intermediate scales between TeV scale and Planck scale, which incorporates only right-chiral neutrinos new complex scalar in addition to usual SM degrees freedom, but no other features such as supersymmetric partners. In this paper, we present comprehensive quantitative analysis model, show that all outstanding issues particle physics proper can principle be solved `in one go'...

We perform a systematic one-loop renormalization of general renormalizable Yang-Mills theory coupled to scalars and fermions using regularization scheme with smooth momentum cutoff Λ (implemented through an exponential damping factor). construct the necessary finite counterterms restoring BRST invariance effective action by analyzing relevant Slavnov-Taylor identities. find relation between renormalized parameters in our conventional $$ \overline{\mathrm{MS}} which allow us obtain explicit...

We analyze in the Landau gauge mixing of bosonic fields theories with exact and spontaneously broken symmetries, extending to this case Lehmann-Symanzik-Zimmermann (LSZ) formalism asymptotic fields. Factorization residues poles (at real complex values variable $p^2$) is demonstrated a simple practical prescription for finding "square-rooted" residues, necessary calculating $S$-matrix elements, given. The pseudo-Fock space (in LSZ sense) states explicitly constructed its BRST-cohomological...

We analyze in details the effects associated with mixing of fermionic fields. In a system an arbitrary number Majorana or Dirac particles, simple proof factorizability residues non-diagonal propagators at complex poles is given, together prescription for finding "square-rooted" to all orders perturbation theory, renormalization scheme. Corresponding scalar case provided as well.

We point out that the one-loop amplitude of $h^0\rightarrowγγ$ decay is gauge invariant owing to a particular relation between trilinear couplings and Higgs boson mass. This follows only from symmetry breaking pattern realized by potential scalar fields not on its specific form. allows justify seemingly inconsistent calculation in minimal supersymmetric model (MSSM) which one takes mass lighter e.g. effective potential.

I give explicit fromulae for full propagators of vector and scalar fields in a generic spin-1 gauge model quantized an arbitrary linear covariant gauge. The propagators, expressed terms all-order one-particle-irreducible correlation functions, have remarkably simple form because constraints originating from Slavnov-Taylor identities Becchi-Rouet-Stora symmetry. also determine the behavior neighborhood poles, prescription coefficients that generalize (to case with vector-scalar mixing)...

Three-loop counterterms for the Standard Model (SM) revealed that matrix of anomalous dimensions ($\ensuremath{\gamma}$) quarks is divergent in $d\ensuremath{\rightarrow}4$ limit unless a carefully chosen non-Hermitian square-root $Z$ used textbook formula $\ensuremath{\gamma}$. Here, an alternative prescription given, which expresses $\ensuremath{\gamma}$ and $\ensuremath{\beta}$ functions directly terms (instead $\sqrt{Z}$ conventional `bare couplings') produces finite results. In SM, this...