arXiv subjects

B. A. Arbuzov

Publications and source records attributed to B. A. Arbuzov.

At least 19 recordsLinked to original sources

arXiv2021

Calculation of the contribution to muon $g-2$ due to the effective anomalous three boson interaction and the new experimental result

Using the approach based on Bogoliubov compensation principle is applied to calculation of a contribution to the muon $g-2$. Using the previous results on spontaneous generation of the effective anomalous three-boson interaction we calculate the contribution, which proves to agree with the well-known discrepancy. The calculated quantity contains no adjusting parameters but the experimental values for the muon and the W-boson masses. The result can be considered as a confirmation of the approach.

hep-ph↗

arXiv2019

On searches for anomalous WWW interaction at the LHC

The process $p+p\to W^\pm W^+ W^-$ with lepton decays of $W$-bosons is shown to be promising for improving conditions for studies of parameter $λ$, which is the anomalous triple $W$-bosons interaction coupling constant.

hep-ph↗

arXiv2018

Looking for non-perturbative effects of the electroweak interaction at the LHC

We are considering a possibility for detecting non-perturbative effect in process of top pair production in association with a high $p_T$ photon. Starting from previous results on two solutions for a spontaneous generation of wouldbe effective interaction of a top pair with a pair of electro-weak bosons, we show, that a solution with effective cut-off $Λ\simeq 10^2\,TeV$ is already contradicting to existing data, while the other one with $Λ\simeq 10^{16}\,TeV$ (just the Planck scale) could be reconciled with data and give predictions for process $p+p\to\bar t t γ+X$, which could be effectively checked at the LHC with $\sqrt{s}=13\,TeV$. The confirmation of the predictions would mean a strong support for the existence of non-perturbative effects in the electro-weak interaction.

hep-ph↗

arXiv2017

Non-Lagrangian equations of motion and the momentum non-conservation

In the framework of a geometrical model, in which the affine connection of a space is expressed in terms of the electromagnetic field, a possibility of the momentum non-conservation is shown. A toy device with an object moving in a magnetic field is presented for an illustration of the effect.

physics.gen-ph↗

arXiv2017

Associated heavy quarks pair production with Higgs as a tool for a search for non-perturbative effects of the electroweak interaction at the LHC

Assuming an existence of an anomalous triple electro-weak bosons interaction being defined by coupling constant $λ$, we calculate its contribution to interactions of the Higgs with pairs of heavy particles. Bearing in mind experimental restrictions $-0.011 < λ< 0.011$ we present results for possible effects in processes $p\,p \to W^+ W^- H,\,p\,p \to W^+ Z H,\,p\,p \to W^- Z H,\,p\,p \to \bar t t H $, $p p \to \bar b b H$. Effects could be significant with negative sign of $λ$ in associated heavy quarks $t,\,b$ pairs production with the Higgs. In calculations we rely on results of the non-perturbative approach to a spontaneous generation of effective interactions, which defines the form-factor of the three-boson anomalous interaction.

hep-ph↗

arXiv2016

On a possibility of a consistent interpretation of diboson excesses at LHC

Recently reported diboson and diphoton excesses at LHC are interpreted to be connected with heavy $WW$ zero spin resonances. The resonances appears due to the wouldbe anomalous triple interaction of the weak bosons, which is defined by well-known coupling constant $λ$. The $2\, TeV$ anomaly tentatively corresponds to weak isotopic spin 2 scalar state and the $γγ\,\,750\, GeV$ anomaly corresponds to weak isotopic spin 0 pseudoscalar state. We obtain estimates for the effect, which qualitatively agree with ATLAS data. Effects are predicted in a production of $W^+ W^-, (Z,γ) (Z,γ)$ via resonance $X_{PS}$ with $M_{PS} \simeq 750\,GeV$, which could be reliably checked at the upgraded LHC at $\sqrt{s}\,=\,13\, TeV$. In the framework of an approach to the spontaneous generation of the triple anomalous interaction its coupling constant is estimated to be $λ= -\,0.02\pm 0.005$ in an agreement with existing restrictions. Specific predictions of the hypothesis are significant effects in decay channels $X_{PS} \to γ\,l^+\,l^-\,, X_{PS} \to l^+\,l^-\,\,l^+\,l^-\,(l = e,\,μ)$.

hep-ph↗

arXiv2015

Effective interactions and prospects for a resolution of the fundamental cosmological problems in the quantum gravity

A possible effective interaction in the quantum gravity is considered. The compensation equation for a spontaneous generation of this interaction is shown to have a non-trivial solution. Would be consequences of a possible existence of effective interactions in the gravity theory are discussed. An example of running gravitational coupling is presented, which corresponds to a description of effects, which nowadays are prescribed to a dark mater and to a dark energy.

gr-qc↗

arXiv2015

LHC diboson excesses as an evidence for a heavy WW resonance

Recently reported diboson excesses at LHC are interpreted to be connected with heavy $WW$ resonance with weak isotopic spin 2. The resonance appears due to the wouldbe anomalous triple interaction of the weak bosons, which is defined by well-known coupling constant $λ$. We obtain estimates for the effect, which qualitatively agree with ATLAS data. Effects are predicted in inclusive production of $W^+W^+, W^+ (Z,γ), W^+ W^-, (Z,γ) (Z,γ), W^- (Z,γ), W^-W^-$ resonances with $M_R \simeq 2\,TeV$, which could be reliably checked at the upgraded LHC with $\sqrt{s}\,=\,13 TeV$. In the framework of an approach to the spontaneous generation of of the triple anomalous interaction its coupling constant is estimated to be $λ= -\,0.017\pm 0.005$ in an agreement with existing restrictions.

hep-ph↗

arXiv2011

CMS ridge effect at LHC as a manifestation of bremstralung of gluons due to the quark-anti-quark string formation

The recently reported effect of long-range near-side angular correlations at LHC occurs for large multiplicities of particles with $1\,GeV\,<p_T\,<\,3\,GeV$. To understand the effect several possibilities have been discussed. In the letter we propose a simple qualitative mechanism which corresponds to gluon bremstralung of quarks moving with acceleration appropriate to the quark--anti-quark string. The smallness of azimuthal angle difference $Δϕ$ along with large $Δη$ at large multiplicities in this interval of $p_T$ are natural in the mechanism. The mechanism predicts also bremstralung photons with mean values of $p_T \approx 2.9$ and $0.72\,GeV$.

hep-ph↗

arXiv2010

Bogoliubov compensation approach in QCD and in the electroweak theory

We describe application of Bogoliubov compensation principle to calculation of non-perturbative contribution in the electroweak theory and QCD. We obtain unique solutions of compensation equations, which impose strong restrictions on parameters of theories and on functional dependence of corresponding form-factors. We calculate value of running gauge electroweak coupling $α_w(M_W)=0.0374$, that differs from the experimental value less than by 10%. We derive effective Nambu-Jona-Lasinio interaction from fundamental QCD and express its parameters in terms of initial QCD parameters: $α_s$ at low-momenta and current mass of light quarks. This leads to satisfactory description of low-mass hadron physics.

hep-ph↗

arXiv2004

An Invariant Charge Model for All q^2>0 in QCD and Gluon Condensate

Under assumption of singular behavior of invariant charge alpha_s(q^2) at q^2 sim 0 and of large q^2 behavior, corresponding to the perturbation theory up to four loops, a procedure is considered of smooth matching the beta-function at a boundary of perturbative and nonperturbative regions. The procedure results in a model for alpha_s for all q^2>0 with dimensionless parameters being fixed and dimensional parameters being expressed in terms of only one quantity Lambda_QCD. The gluon condensate which is defined by the nonperturbative part of the invariant charge is calculated for two variants of ``true perturbative'' invariant charge, corresponding to freezing option and to analytic one in nonperturbative region. Dimensional parameters are fixed by varying normalization condition alpha_s(m^2_tau) = 0.29, 0.30, ..., 0.36. It is obtained that on the boundary of perturbative region alpha_0 = alpha_s(q_0^2) simeq 0.44, the procedure results in nonperturbative Coulomb component alpha_Coulomb simeq 0.25, the nonperturbative region scale q_0 simeq 1 GeV, the model parameter sigma simeq (0.42 GeV)^2 which suits as string tension parameter, the gluon condensate appears to be close for two variants considered, K simeq (0.33 -- 0.36 GeV)^4 (for alpha_s(m^2_tau) = 0.33).

hep-ph↗

arXiv2004

Beta-Function in QCD and Gluon Condensate

Under assumption of singular behavior of alpha_s(q^2) at q^2 sim 0 and of large q^2 behavior, corresponding to the perturbation theory up to four loops, a procedure is considered of matching the beta-function at a boundary of perturbative and non-perturbative regions. The contribution of the non-perturbative region to the gluon condensate is calculated with varying normalization condition alpha_s(m_tau^2) = 0.29, 0.30,..., 0.36 for two different ways of definition of the non-perturbative invariant charge in the infrared region. We obtain quite consistent results for values of the gluon condensate, nonperturbative region scale q_0, and the string tension sigma.

hep-ph↗

arXiv2001

Muon g-2 Anomaly and Extra Interaction of Composite Higgs in a Dynamically Broken Electroweak Theory

In electroweak theory without elementary Higgs scalars existence of a solution, which breaks initial symmetry is shown. A composite scalar doublet serves as a substitute for usual Higgs. The mass of the surviving Higgs scalar is predicted to be $M_H = 117 \pm 7 GeV$. The resulting theory contains realistic $W, Z, t$ masses and composite massive Higgs. Parameters used are $g$, $θ_W$, cut-off $Λ\simeq 3500 GeV$ and triple gauge constant $λ_V \simeq -0.034$. Stable nontrivial solution for extra interactions of the Higgs particle gives contribution to muon $g-2$: $Δa = 49.4\cdot 10^{-10}$ that agrees with the recently reported anomaly. The extra interaction leads to a number of experimental consequences for B.R. of Higgs decay and its production cross-sections in $e^+e^- $ and $\bar p p$ collisions including recommendation for looking for Higgs via decay $H \to 2 γ$.

hep-ph↗

arXiv2001

Higgs' mass around 115 GeV would testify for composite Higgs

Theory with $SU(2)\times U(1)$ gauge invariant electroweak Lagrangian describing standard interaction of massless quark doublet without elementary scalar Higgs sector is considered. We show in the main order of $1/N_c$ expansion, that there exists a solution, which breaks initial symmetry and is accompanied by an appearance of zero mass composite scalar doublet. The electroweak loop corrections shift its mass to a tachyon value and thus the scalar serves as a substitute for usual elementary Higgs. The $t$-quark mass also arise. The problem of adjusting its observable mass leads to prediction of triple gauge constant $λ_V \simeq -0.034$ without contradiction with experimental data. The mass of the surviving composite Higgs scalar is predicted to be $M_H = 117 \pm 7 GeV$, that agrees with recent indications of $M_H \simeq 115 GeV$. The resulting theory contains realistic $W, Z, t$ masses, composite massive Higgs and massless other particles. Parameters used are cut-off $Λ\simeq 3500 GeV$, weak gauge constant $g$ and mixing angle $θ_W$.

hep-ph↗

arXiv2000

Higgs Model without Elementary Scalars

A model of interaction of massless vector and spinor fields is considered. With the use of Bogolyubov quasi-average method we study a possibility of a dynamical breaking of the initial symmetry. Assuming the existence of effective cut-off $Λ$, we show, that there exists a solution, which breaks gauge symmetry of the theory. Instead of Higgs scalars fermion-antifermion tachion bound states are present here. As a result we have a theory with a massive vector field, a massive spinor and a composite scalar.

hep-ph↗

arXiv1998

Distinctive effects in a model of dynamical electroweak symmetry breaking

The problem of possible deviations from the Standard Model is considered in the framework of a variant of dynamical electroweak symmetry breaking. The parameters of the theory are obtained, which describe deviations from SM in $Z\to \bar b b$ decay, are also consistent with leptonic left-right asymertry (SLAC data) and with the existence of a nontrivial solution for vertex $\bar t (Z,γ) c$. The occurrence of this solution leads to a significant enhancement in neutral flavor changing transition $t\to c$. The intensity of this transition is connected with the $c$-quark mass, that leads to estimates of probabilities of exotic decays $t\to c (Z,γ)$ (few %) and of the cross-section of a single $t$-quark production in process $e^+e^-\to t \bar c$ at LEP2 ($\simeq 0.03 pb$ at $\sqrt{s} = 190 GeV$). The model is shown to be consistent with the totality of the existing data; the predictions allow its unambiguous check.

hep-ph↗

arXiv1998

An enhancement of neutral tc transitions in the model of dynamical breaking of the electroweak symmetry

The problem of possible deviations from the Standard Model is considered in the framework of a variant of dynamical electroweak symmetry breaking. It comes clear, that the parameters of the theory, being obtained earlier and describing deviations from SM in Z --> \bar b b decay, are also consistent with the existence of a nontrivial solution for vertex \bar t (Z,γ) c. The occurrence of this solution leads to a significant enhancement in neutral flavor changing transition t --> c. The intensity of this transition is connected with the c-quark mass, that leads to estimates of probabilities of exotic decays t --> c (Z,γ) (few %) and of the cross-section of a single t-quark production in process e^+e^- --> t \bar c at LEP2 (around 0.03 pb at \sqrt{s} = 190 GeV). The model is shown to be consistent with the totality of the existing data; the predictions allow its unambiguous check.

hep-ph↗

arXiv1997

HERA high $Q^2$ events as indications of excited leptons with weak isotopic spin 3/2

The H1 and ZEUS anomalous events are interpreted as being due to the production and the decay of excited leptons $E$, which correspond to spin 1/2 resonances of the first generation lepton doublet ($ν_e, e$) with W triplet. This assumption is supported by considering of Bethe-Salpeter equation in the ladder approximation with anomalous triple gauge boson vertex. The solution with weak isospin $I = 3/2$ is shown to exist for zero mass state, that means M_E$ is small in comparison with TeV mass scale. The coupling of $E$ with leptons and $W$ is defined by the normalization condition. Calculation of the $E$ width and the production cross-sections agrees with HERA data for value of the triple $W$ coupling constant $λ\simeq 0.5$. Isotopic relations for different channels are presented as a tool for checking the interpretation.

hep-ph↗