Maxim Bezuglov - Academia.edu (original) (raw)

Papers by Maxim Bezuglov

Symmetry

The interaction of high-energy leptons with components of Dark Matter in a hypercolor model is co... more The interaction of high-energy leptons with components of Dark Matter in a hypercolor model is considered. The possibility of detection, using IceCube secondary neutrinos produced by quasielastic scattering of cosmic ray electrons off hidden mass particles, is investigated. The dominant contribution to the cross section results from diagrams with scalar exchanges. A strong dependence of the total cross section on the Dark Matter components mass is also found.

International Journal of Modern Physics A

In modern quantum field theory, one of the most important tasks is the calculation of loop integr... more In modern quantum field theory, one of the most important tasks is the calculation of loop integrals. Loop integrals appear when evaluating the Feynman diagrams with one or more loops by integrating over the internal momenta. Even though this problem has already been in place since the mid-twentieth century, we not only do not understand how to calculate all classes of these integrals beyond one loop, we do not even know in what class of functions the answer is expressed. To partially solve this problem, different variations of new functions usually called elliptic multiple polylogarithms have been introduced in the last decade. In this paper, we explore the possibilities and limitations of this class of functions. As a practical example, we chose the processes associated with the physics of heavy quarkonium at the two-loop level.

EPJ Web of Conferences

In the framework of hypercolor extension of the Standard Model we consider cosmic rays scattering... more In the framework of hypercolor extension of the Standard Model we consider cosmic rays scattering off hidden mass candidates. Specifically, there are two components of the Dark Matter in this model having close masses but different origin. As a result, neutrino production in the processes of scattering ofhigh energy electrons on these DM candidates is substantially different, and the secondary neutrino canbe seen, in principle, at neutrino detectors. We also note other interesting aspects of these type reactions.

PROCEEDINGS OF THE 23RD INTERNATIONAL SCIENTIFIC CONFERENCE OF YOUNG SCIENTISTS AND SPECIALISTS (AYSS-2019)

False vacuum decay is an interesting physical process that recently attracted a lot of attention ... more False vacuum decay is an interesting physical process that recently attracted a lot of attention due to the possible metastability of the electroweak vacuum in the Standart Model at large energies. If it is true than the universe will eventually tunnel in some other energy state with other particle masses and possibly other laws of physics. In this regard, it is useful to study in detail the metastable vacuum decay in high precision. In this work we use the Greens function technique to calculate one and two loop radiative corrections to the false vacuum decay in quantum field theory with a single scalar field. In order to get analytical result we use the thin wall approximation. In this work we use dimensional regularization and in two different renormalization schemes: Coleman-Weinberg and MSbar.

EPJ Web of Conferences

We consider a minimal vectorlike extension of the Standard Model that naturally contains two type... more We consider a minimal vectorlike extension of the Standard Model that naturally contains two types of stable neutral particles. They can be interpreted as the Dark Matter candidates. Here, the SM is supplemented by a new fermion (H-quark) sector that is in confinement providing by the S U(2) HC gauge group. H-quarks interact with the SM particles via standard electroweak bosons. In analogy with the conventional QCD, H-quarks can form bound states, H-hadrons, that emerge in the σ− model framework. Along with the stable neutral H-pion, there is one more pseudo-goldstone (diquark) state, B0, which is stable and also can be a component of the DM. Mass splittings both for components of the H-pion triplet and for neutral H-pion and B0 have been calculated, it is shown that this splittings can be small. The relic abundance for this composition of the DM is analyzed as well as the DM particles scattering off nucleons. A feature of this scenario is that Dark Matter turns out to consist of particles which are close in mass but have different origin and interact differently with ordinary matter. So, the model predicts two-component structure of the DM together with some specific manifestations of it.

Physics Letters B

We consider radiative corrections to false vacuum decay in a four-dimensional scalar field theory... more We consider radiative corrections to false vacuum decay in a four-dimensional scalar field theory with cubic and quartic potential. Using planar thin wall approximation we were able to get analytical expression for the decay rate up to two loop order. The results obtained employ dimensional regularization and M S renormalization scheme.

EPJ Web of Conferences, 2018

When the Higgs boson was discovered in 2012 it was realized that electroweak vacuum may suffer a ... more When the Higgs boson was discovered in 2012 it was realized that electroweak vacuum may suffer a possible metastability on the Planck scale and can eventually decay. To understand this problem it is important to have reliable predictions for the vacuum decay rate within the framework of quantum field theory. For now, it can only be done at one loop level, which is apparently is not enough. The aim of this work is to develop a technique for the calculation of two and higher order radiative corrections to the false vacuum decay rate in the framework of four dimensional scalar quantum field theory and then apply it to the case of the Standard Model. To achieve this goal, we first start from the case of d=1 dimensional QFT i.e. quantum mechanics. We show that for some potentials two and three loop corrections can be very important and must be taken into account. Next, we use quantum mechanical example as a template for the general d=4 dimensional theory. In it we are concentrating on the calculations of bounce solution and corresponding Green function in so called thin wall approximation. The obtained Green function is then used as a main ingredient for the calculation of two loop radiative corrections to the false vacuum decay rate.

Symmetry

The interaction of high-energy leptons with components of Dark Matter in a hypercolor model is co... more The interaction of high-energy leptons with components of Dark Matter in a hypercolor model is considered. The possibility of detection, using IceCube secondary neutrinos produced by quasielastic scattering of cosmic ray electrons off hidden mass particles, is investigated. The dominant contribution to the cross section results from diagrams with scalar exchanges. A strong dependence of the total cross section on the Dark Matter components mass is also found.

International Journal of Modern Physics A

In modern quantum field theory, one of the most important tasks is the calculation of loop integr... more In modern quantum field theory, one of the most important tasks is the calculation of loop integrals. Loop integrals appear when evaluating the Feynman diagrams with one or more loops by integrating over the internal momenta. Even though this problem has already been in place since the mid-twentieth century, we not only do not understand how to calculate all classes of these integrals beyond one loop, we do not even know in what class of functions the answer is expressed. To partially solve this problem, different variations of new functions usually called elliptic multiple polylogarithms have been introduced in the last decade. In this paper, we explore the possibilities and limitations of this class of functions. As a practical example, we chose the processes associated with the physics of heavy quarkonium at the two-loop level.

EPJ Web of Conferences

In the framework of hypercolor extension of the Standard Model we consider cosmic rays scattering... more In the framework of hypercolor extension of the Standard Model we consider cosmic rays scattering off hidden mass candidates. Specifically, there are two components of the Dark Matter in this model having close masses but different origin. As a result, neutrino production in the processes of scattering ofhigh energy electrons on these DM candidates is substantially different, and the secondary neutrino canbe seen, in principle, at neutrino detectors. We also note other interesting aspects of these type reactions.

PROCEEDINGS OF THE 23RD INTERNATIONAL SCIENTIFIC CONFERENCE OF YOUNG SCIENTISTS AND SPECIALISTS (AYSS-2019)

False vacuum decay is an interesting physical process that recently attracted a lot of attention ... more False vacuum decay is an interesting physical process that recently attracted a lot of attention due to the possible metastability of the electroweak vacuum in the Standart Model at large energies. If it is true than the universe will eventually tunnel in some other energy state with other particle masses and possibly other laws of physics. In this regard, it is useful to study in detail the metastable vacuum decay in high precision. In this work we use the Greens function technique to calculate one and two loop radiative corrections to the false vacuum decay in quantum field theory with a single scalar field. In order to get analytical result we use the thin wall approximation. In this work we use dimensional regularization and in two different renormalization schemes: Coleman-Weinberg and MSbar.

EPJ Web of Conferences

We consider a minimal vectorlike extension of the Standard Model that naturally contains two type... more We consider a minimal vectorlike extension of the Standard Model that naturally contains two types of stable neutral particles. They can be interpreted as the Dark Matter candidates. Here, the SM is supplemented by a new fermion (H-quark) sector that is in confinement providing by the S U(2) HC gauge group. H-quarks interact with the SM particles via standard electroweak bosons. In analogy with the conventional QCD, H-quarks can form bound states, H-hadrons, that emerge in the σ− model framework. Along with the stable neutral H-pion, there is one more pseudo-goldstone (diquark) state, B0, which is stable and also can be a component of the DM. Mass splittings both for components of the H-pion triplet and for neutral H-pion and B0 have been calculated, it is shown that this splittings can be small. The relic abundance for this composition of the DM is analyzed as well as the DM particles scattering off nucleons. A feature of this scenario is that Dark Matter turns out to consist of particles which are close in mass but have different origin and interact differently with ordinary matter. So, the model predicts two-component structure of the DM together with some specific manifestations of it.

Physics Letters B

We consider radiative corrections to false vacuum decay in a four-dimensional scalar field theory... more We consider radiative corrections to false vacuum decay in a four-dimensional scalar field theory with cubic and quartic potential. Using planar thin wall approximation we were able to get analytical expression for the decay rate up to two loop order. The results obtained employ dimensional regularization and M S renormalization scheme.

EPJ Web of Conferences, 2018

When the Higgs boson was discovered in 2012 it was realized that electroweak vacuum may suffer a ... more When the Higgs boson was discovered in 2012 it was realized that electroweak vacuum may suffer a possible metastability on the Planck scale and can eventually decay. To understand this problem it is important to have reliable predictions for the vacuum decay rate within the framework of quantum field theory. For now, it can only be done at one loop level, which is apparently is not enough. The aim of this work is to develop a technique for the calculation of two and higher order radiative corrections to the false vacuum decay rate in the framework of four dimensional scalar quantum field theory and then apply it to the case of the Standard Model. To achieve this goal, we first start from the case of d=1 dimensional QFT i.e. quantum mechanics. We show that for some potentials two and three loop corrections can be very important and must be taken into account. Next, we use quantum mechanical example as a template for the general d=4 dimensional theory. In it we are concentrating on the calculations of bounce solution and corresponding Green function in so called thin wall approximation. The obtained Green function is then used as a main ingredient for the calculation of two loop radiative corrections to the false vacuum decay rate.