Гомельский государственный технический университет имени П.О.Сухого

Новые поступления электронной библиотеки

Pankov, A. A., Serenkova, I. A., Tsytrinov, A. V., Bednyakov, V. A.

N. Arkani-Hamed, S. Dimopoulous, and G. Dvali have proposed a model (ADD) of low-scale quantum gravity featuring large extra dimensions. In this model, the exchange of Kaluza - Klein towers of gravitons can enhance a production rate of lepton pairs at high invariant mass in proton-proton collisions at LHC. By considering the present and future LHC energy regimes, we have again analyzed the LHC potential to discover the effects of large extra dimensions and to discrimi­nate between various theoretical models. Specifically, in the latter case we explore the LHC capability to distinguish spin-2 Kaluza - Klein towers of gravitons exchange from other new physics effects which might be conveniently parametrized by the four-fermion contact interactions. We find that LHC with planned energy of 14 TeV and luminosity of 100 fb-1 will be capable of discovering (and identifying) graviton exchange effects in the large extra dimensions with the cutoff parameter of the order MS = 6.2 TeV (4.8 TeV) for d = 6 and MS = 8.8 TeV (6.8 TeV) for d = 3.

Н. Аркани-Хамед, С. Димопулос и Г. Двали предложили модель (ADD) низкоразмерной квантовой гравитации с большими пространственными измерениями. В этой модели обмен гравитонных башен Калуцы - Клейна может усилить величину сечения рождения лептонных пар при больших инвариантных массах дилептонов в протон-про­тонных столкновениях на коллайдере LHC. Принимая во внимание настоящий и будущий энергетические режимы коллайдера LHC, мы вновь проанализировали потенциальные возможности LHC по обнаружению эффектов боль­ших дополнительных измерений, а также по разделению различных теоретических моделей. В частности, в послед­нем случае мы исследуем возможности LHC по разделению эффектов обмена гравитонными башнями Калуцы -Клейна со спином 2 и эффектов «новой» физики другой природы, которые могут быть удобно параметризованы четырехфермионными контактными взаимодействиями. Для LHC с планируемой энергией в 14 ТэВ и светимостью 100 фб-1 мы определили граничные значения на параметр обрезания MS, для которого LHC сможет обнаруживать (и идентифицировать) эффекты обмена гравитонными башнями, а именно: MS = 6,2 ТэВ (4,8 ТэВ) для d = 6 и MS = 8,8 ТэВ (6,8 ТэВ) для d = 3.

2025-05-23
Solovtsova, O. P.

High precise measurements of vector and axial-vector spectral functions in hadronic decays of the lepton stimulate the further theoretical researches of various forms of perturbative expansions and nonperturbative effects. Advantages and self-consistency of the the Shirkov-Solovtsov analytic approach in describing the hadronic decays the lepton are demonstrated.

2025-05-23
Solovtsova, O. P.

The Adler D-function which appears in the process of the e+e− annihilation into hadrons is of interest from the point of view of quark-hadron duality, as this function turned out to be a smooth function with no traces of a resonance structure which is observed for the function R(s), the normalized cross-section for the process of e+e− annihilation into hadrons. We consider various physical quantities and functions generated by R(s) and obtain good agreement between our results and experimental data down to the lowest energy scale. We found that the reason of such consent is a consequence of quark-hadron duality, which connects the R(s) and the D-function.

2025-05-22
Solovtsova, O. P., Lashkevich, V. I., Kaptari, L. P.

Analytical expressions for the tenth order electromagnetic corrections to the lepton (L = e, µ and
τ ) anomaly aL are derived explicitly for a class of Feynman diagrams with insertions of the vacuum
polarization operator consisting of four closed lepton loops. We consider a particular case when one
loop is formed by the lepton L of the same kind as the one under consideration, the other three loops
being formed by leptons ℓ ≠ L. The method is based on the consecutive application of dispersion
relations for the polarization operator and the Mellin–Barnes transform for the propagators of
massive particles. The result is expressed in terms of the mass ratio r = mℓ/mL. We investigate
the behaviour of the exact analytical expressions as r → 0 and r → ∞ and compare them with the
corresponding asymptotic expansions known in the literature.

2025-05-21
Haurysh, V. Yu., Andreev, V. V.
2025-05-21

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