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In this paper we compare recent experimental data for the total cross section $\sigma(e^+e^-\to{hadrons})$ with the up-to-date theoretical prediction of perturbative QCD for those energies where perturbation theory is reliable. The…

High Energy Physics - Phenomenology · Physics 2010-05-28 J. H. Kühn , M. Steinhauser

We present a new extraction of the effective strong coupling constant \alpha_{s,g_1}(Q^2). The result agrees with a previous determination and extends the measurement of the low and high Q^2 behavior of \alpha_{s,g_1}(Q^2) that was…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Deur , V. Burkert , J. P. Chen , W. Korsch

In the context of MSSM, a novel improving procedure based on the renormalization group equation is applied to the effective potential in the Higgs sector. We focus on the one-loop radiative corrections computed in Landau gauge by using the…

High Energy Physics - Phenomenology · Physics 2011-09-13 D. V. Gioutsos

A numerical value for the running electromagnetic coupling constant in the MS scheme is calculated at the low energy normalization scale equal to the tau-lepton mass M_\tau. This low energy boundary value is used for running the…

High Energy Physics - Phenomenology · Physics 2011-01-27 A. A. Pivovarov

In this paper we fix our attention, on hadron structure, and show that also the strong interaction strength alpha_S, ordinarily called the "(perturbative) coupling--constant square}", can be evaluated within our theory, and found to…

General Physics · Physics 2011-04-15 Erasmo Recami , Tonin-Zanchin , Antonino Del Popolo , Mario Gambera

The two-loop self-energy correction is evaluated to all orders in Z\alpha for the ground-state Lamb shift of H-like ions with Z >= 10, where Z is the nuclear charge number and \alpha is the fine structure constant. The results obtained are…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

Given a two-loop beta function for multiple marginal coupling constants, we derive an asymptotic formula for the running coupling constants driven to an infrared fixed point. It can play an important role in universal loglog corrections to…

Statistical Mechanics · Physics 2009-11-10 Hisamitsu Mukaida

We present the extension of our previous results for three-loop Yukawa coupling beta-functions to the case of complex Yukawa matrices describing the flavour structure of the SM. The calculation is carried out in the context of unbroken…

High Energy Physics - Phenomenology · Physics 2014-09-05 A. V. Bednyakov , A. F. Pikelner , V. N. Velizhanin

Results for the leading two-loop corrections of $\mathcal{O}{\left(\alpha_t^2\right)}$ from the Yukawa sector to the Higgs-boson masses of the MSSM with complex parameters are presented. The corresponding self-energies and their…

High Energy Physics - Phenomenology · Physics 2015-06-18 Wolfgang Hollik , Sebastian Paßehr

The effect of long wavelength fluctuations on the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime is studied by means of the standard field-theoretical procedure for a genuine second-order phase transition.…

Disordered Systems and Neural Networks · Physics 2015-06-19 Tommaso Rizzo

We deduce the gluino contribution to the three-loop QCD \beta function within the minimal supersymmetric Standard Model (MSSM) from its standard QCD expression. The result is a first step in the computation of the full MSSM three-loop \beta…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Clavelli , P. W. Coulter , L. R. Surguladze

The standard field-theoretical procedure to study the effect of long wavelength fluctuations on a genuine second-order phase transition is applied to the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime.…

Disordered Systems and Neural Networks · Physics 2013-07-17 Tommaso Rizzo

We perform extensive three-loop tests of the hexagon bootstrap approach for structure constants in planar $\mathcal{N}=4$ SYM theory. We focus on correlators involving two BPS operators and one non-BPS operator in the so-called $SL(2)$…

High Energy Physics - Theory · Physics 2015-10-07 Benjamin Basso , Vasco Goncalves , Shota Komatsu , Pedro Vieira

In line with some previous works, we study in this paper the meson spectrum in the framework of a second order quark-antiquark Bethe-Salpeter formalism which includes confinement. An analytic one loop running coupling constant alpha_s(Q),…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Baldicchi , G. M. Prosperi

This paper presents a summary of the current status of determinations of the strong coupling constant alpha_s. A detailed description of the definition, scale dependence and inherent theoretical ambiguities is given. The various physical…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ian Hinchliffe , Aneesh V. Manohar

We compute the two-loop BSM contributions to the $h\longrightarrow \gamma\gamma$ decay width in the SM extended with a real triplet of $SU(2)$. We consider scenarios in which the neutral components of doublet and triplet do not mix, so that…

High Energy Physics - Phenomenology · Physics 2025-01-22 Giuseppe Degrassi , Pietro Slavich

We point out that the one-loop amplitude of the $h^0\rightarrow\gamma\gamma$ decay is gauge invariant owing to a particular relation between the trilinear couplings and the Higgs boson mass. This relation follows only from the gauge…

High Energy Physics - Phenomenology · Physics 2013-08-15 Pior H. Chankowski , Adrian Lewandowski

The consequences of assuming the third-generation Yukawa couplings are all large and comparable are studied in the context of the minimal supersymmetric extension of the standard model. General aspects of the RG evolution of the parameters,…

High Energy Physics - Phenomenology · Physics 2011-01-27 R. Rattazzi , U. Sarid

An elegant and more precise formula for the 3-loop perturbative QCD coupling is discussed. It improves the common expression (e.g., canonized by PDG) in few GeV region. On its base, we propose simple analytic Model for ghost-free QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. V. Shirkov

Two-loop self-energy corrections to the bound-electron $g$ factor are investigated theoretically to all orders in the nuclear binding strength parameter $Z\alpha$. The separation of divergences is performed by dimensional regularization,…

Atomic Physics · Physics 2020-01-08 B. Sikora , V. A. Yerokhin , N. S. Oreshkina , H. Cakir , C. H. Keitel , Z. Harman