Different theoretical and phenomenological aspects of the minimal nonminimal walking technicolor theories have recently been studied. The goal here is to make models ready for collider phenomenology. We do this by constructing low energy effective theory containing scalars, pseudoscalars, vector mesons, other fields predicted theory. construct their self-interactions interactions with standard model fields. Using Weinberg sum rules, opportunely modified take into account behavior underlying...

We introduce an explicit model with technifermion matter transforming according to multiple representations of the underlying technicolor gauge group. The features simultaneously smallest possible value naive $S$ parameter and number technifermions. chiral dynamics is extremely rich. construct low-energy effective Lagrangian. provide both linearly nonlinearly realized ones. then embed, in a natural way, standard (SM) interactions within global symmetries theory. Several composite particles...

We propose an all orders beta function for ordinary Yang-Mills theories with or without fermions inspired by the Novikov-Shifman-Vainshtein-Zakharov of $\mathcal{N}=1$ supersymmetric gauge theories. The allows us to bound conformal window. When restricting one adjoint Weyl fermion we show how proposed matches theory. running pure coupling is computed and deviation from two loop result presented. then compare obtained lattice data also respect running.

We consider a vectorial, asymptotically free gauge theory and analyze the effect of higher-loop corrections to beta function on evolution from ultraviolet infrared. study case in which contains $N_f$ copies fermion transforming according fundamental representation several higher-dimensional representations group. also calculate values anomalous dimension mass, $\gamma_m$ $\bar\psi\psi$ at infrared zero function. find that for given theory, calculated three- four-loop order, evaluated...

We present the conformal windows of SU(N) supersymmetric and nonsupersymmetric gauge theories with vectorlike matter transforming according to higher irreducible representations group. determine fraction asymptotically free expected develop an infrared fixed point find that it does not depend on specific choice representation. This result is exact in while approximate one case. The analysis allows us size unparticle world related existence underlying developing stable point. exactly 50% can...

We calculate the value of coupling at infrared zero beta function an asymptotically free SU(3) gauge theory five-loop level as a number fermions. Both direct analysis and analyses Pad\'e approximants are used for this purpose. then anomalous dimension, ${\ensuremath{\gamma}}_{m}$, fermion bilinear IR function.

We study a vectorial asymptotically free gauge theory, with group $G$ and ${N}_{f}$ massless fermions in representation $R$ of this group, that exhibits an infrared (IR) zero its beta function, $\ensuremath{\beta}$, at the coupling $\ensuremath{\alpha}={\ensuremath{\alpha}}_{\mathrm{IR}}$ non-Abelian Coulomb phase. For general $R$, we calculate scheme-independent series expansions (i) anomalous dimension fermion bilinear,...

We consider an asymptotically free vectorial gauge theory, with group $G$ and $N_f$ fermions in a representation $R$ of $G$, having infrared (IR) zero the beta function at $\alpha_{IR}$. present general formulas for scheme-independent series expansions quantities, evaluated $\alpha_{IR}$, as powers $N_f$-dependent expansion parameter, $\Delta_f$. First, we apply these to calculate derivative $d\beta/d\alpha$ denoted $\beta'_{IR}$, which is equivalent anomalous dimension ${\rm...

We give a detailed analysis of the effects scheme transformations in vicinity an exact or approximate infrared fixed point asymptotically free gauge theory with fermions. list necessary conditions that such must obey and show that, although these can easily be satisfied ultraviolet point, they constitute significant restrictions on at point. construct acceptable use to study scheme-dependence making comparison our previous three-loop four-loop calculations location this $\overline{MS}$...

We analyze the effect of scheme transformations in vicinity an exact or approximate infrared fixed point asymptotically free gauge theory with fermions. show that there is far less freedom carrying out such this case than at ultraviolet point. construct a transformation from $\bar{MS}$ to vanishing three-loop term $\beta$ function and use assess dependence SU($N$) theories Implications for anomalous dimension fermion bilinear operator are also discussed.

We search for infrared zeros of the beta function and evaluate anomalous dimension mass at associated fixed point asymptotically free vectorlike fermionic gauge theories with group $SU(N)$. The points are studied two, three four loop level in two different explicit schemes. These modified regularization invariant scheme minimal momentum subtraction scheme. is performed Landau where parameter vanishes. then compare our findings to earlier identical investigations It found that value smaller...

We suggest how to consistently calculate the anomalous dimension γ_{*} of ψ[over ¯]ψ operator in finite order perturbation theory at an infrared fixed point for asymptotically free theories. If n+1 loop beta function and n are known, then can be calculated exactly fully scheme independently a Banks-Zaks expansion through O(Δ_{f}^{n}), where Δ_{f}=N[over ¯]_{f}-N_{f}, N_{f} is number flavors, N[over ¯]_{f} flavors above which asymptotic freedom lost. For supersymmetric theory, calculation...

We present a scheme-independent calculation of the infrared value anomalous dimension fermion bilinear, $\gamma_{\bar\psi\psi,IR}$ in an SU(3) gauge theory as function number fermions, $N_f$, via series expansion powers $\Delta_f$, where $\Delta_f=(16.5-N_f)$, to order $\Delta_f^4$. perform extrapolation obtain first determination exact from continuum field theory. The results are compared with calculations $n$-loop values this coupling and lattice measurements.

We study the evolution of gauge coupling and anomalous dimension mass towards an infrared fixed point for nonsupersymmetric theories in modified regularization invariant scheme. This is done at three-loop level where all renormalization group functions have been calculated explicitly. The purpose to assess scheme dependence earlier similar investigations performed three- four-loop order minimal subtraction, $\overline{\mathrm{MS}}$, Our results are same when compared $\overline{\mathrm{MS}}$

We analyze the behavior of several renormalization group functions at infrared fixed points for $SU(N)$ gauge theories with fermions in fundamental and two-indexed representations. This includes beta function coupling, anomalous dimension parameter mass. The scheme which analysis is performed minimal momentum subtraction through third-loop order. Because fact that dependence inevitable once perturbation theory truncated we compare to previous identical studies done modified regularization...

We analyze the fixed points of QCD at high loop order in a variety renormalization schemes and gauges across conformal window. observe that minimal momentum subtraction scheme solutions for Banks-Zaks point persist values ${N}_{f}$ below $\overline{\mathrm{MS}}$ canonical linear covariant gauge. By treating parameter gauge as second coupling constant we confirm existence twin critical point, which is infrared stable, to five loops. Moreover similar parallel stable present Curci-Ferrari...

We consider vectorial, asymptotically free $\mathcal{N}=1$ supersymmetric $\mathrm{SU}({N}_{c})$ gauge theories with ${N}_{f}$ copies of massless chiral superfields in various representations and study how perturbative predictions for the lower boundary infrared conformal phase, as a function ${N}_{f}$, compare exact results. make use two-loop three-loop calculations beta anomalous dimension quadratic superfield operator product this purpose. The specific contents that we are (i)...

We study the perturbative phase diagram of semi-simple fermionic gauge theories resembling Standard Model. investigate an $SU(N)$ theory with $M$ Dirac flavors where we first $SU(M)_L$ and then $SU(2)_L \subset SU(M)_L$ original global symmetry $SU(M)_L\times SU(M)_R \times U(1) $ theory. To avoid anomalies add lepton-like particles. At two-loops level intriguing appears. uncover phases in which one, two or three fixed points exist discuss associated flows coupling constants. discover a...

We show that the recently proposed minimal walking technicolor theory together with a small modification of standard model fermionic matter content leads to an excellent degree unification gauge couplings. compare various time-honored models and supersymmetric extension model. find that, at one-loop level, new provides higher than any other extensions above. The phenomenology present is very rich potential dark candidates.

We study properties of asymptotically free vectorial gauge theories with groups $G={\rm SO}(N_c)$ and Sp}(N_c)$ $N_f$ fermions in a representation $R$ $G$, at an infrared (IR) zero the beta function, $\alpha_{IR}$, non-Abelian Coulomb phase. The fundamental, adjoint, rank-2 symmetric antisymmetric tensor fermion representations are considered. present scheme-independent calculations anomalous dimensions (gauge-invariant) bilinear operators $\gamma_{\bar\psi\psi,IR}$ to $O(\Delta_f^4)$...

We consider a vectorial, asymptotically free SU($N_c$) gauge theory with $N_f$ fermions in representation $R$ having an infrared (IR) fixed point. calculate and analyze Pad\'e approximants to scheme-independent series expansions for physical quantities at this IR point, including the anomalous dimension, $\gamma_{\bar\psi\psi,IR}$, $O(\Delta_f^4)$, derivative of beta function, $\beta'_{IR}$, $O(\Delta_f^5)$, where $\Delta_f$ is $N_f$-dependent expansion variable. fundamental, adjoint, rank-2...

We investigate the gauge dynamics of nonsupersymmetric SU (N) theories featuring simultaneous presence fermionic matter transforming according to two distinct representations underlying group. bound regions flavors and colors which can yield a physical infrared fixed point. As consistency check we recover previously investigated bounds conformal windows when restricting single representation. The earlier be imagined part now new house. predict nonperturbative anomalous dimensions at points....

We present the first analytic scheme-independent series calculations of anomalous dimensions several types baryon operators at an infrared fixed point (IRFP) in asymptotically free SU(3) gauge theory with ${N}_{f}$ fermions. Separately, for a group $G$ and fermions representation $R$ $G$, we consider physical quantities IRFP, including dimension gauge-invariant fermion bilinears derivative beta function. These have been calculated expansions whose coefficients proved to be each order....

We study the conformal window of gauge theories containing fermionic matter fields, where group is any exceptional groups with fermions transforming according to fundamental and adjoint representations orthogonal transform a spinorial representation. investigate phase diagram using purely perturbative four loop analysis, all-orders beta function ladder approximation.

We consider an asymptotically free vectorial SU($N_c$) gauge theory with $N_f$ massless fermions in a representation $R$, having infrared fixed point (IRFP) of the renormalization group at $\alpha_{IR}$ conformal non-Abelian Coulomb phase. The cases $R$ equal to fundamental, adjoint, and symmetric rank-2 tensor are considered. present scheme-independent calculations anomalous dimension $\gamma_{\bar\psi\psi,IR}$ $O(\Delta_f^4)$ $\beta'_{IR}$ $O(\Delta_f^5)$ this IRFP, where $\Delta_f$ is...