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We obtain the operator product expansion of the self-energy in the O(N) non-linear $\sigma$-model to all orders in the coupling and the large momentum, and to next-to-leading order in 1/N. In the light of this result we discuss recent…

High Energy Physics - Phenomenology · Physics 2011-03-31 M. Beneke , V. M. Braun , N. Kivel

For processes involving structure functions and/or fragmentation functions, arguments that, over a range of a proper kinematic variable, there is a part that dominates the next-to-leading order (NLO) corrections are briefly reviewed. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. P. Contogouris , Z. Merebashvili

The $O(G^2_\mu m_t^4)$ correction to the $\rho$ parameter is computed within the Standard Model using the current algebra formulation of radiative corrections. This approach is proved to be equivalent to the effective Lagrangian method…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. Degrassi , S. Fanchiotti , P. Gambino

The thermodynamics of the O(N) linear and nonlinear sigma models in 3+1 dimensions is studied. We calculate the pressure to next-to-leading order in the 1/N expansion and show that at this order, temperature-independent renormalization is…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jens O. Andersen , Daniel Boer , Harmen J. Warringa

The Nambu--Jona-Lasinio model is investigated in the $1/N_c$ expansion with the dimensional regularization. At the four-dimensional limit the meson propagators have simple forms in the leading order of the $1/N_c$ expansion. Thus the next…

High Energy Physics - Phenomenology · Physics 2015-06-18 T. Inagaki , D. Kimura , H. Kohyama

I attempt to analyse the next-to-leading-order non-holomorphic contribution to the Wilsonian low-energy effective action in the four-dimensional N=2 gauge theories with matter, from the manifestly N=2 supersymmeric point of view, by using…

High Energy Physics - Theory · Physics 2016-08-25 Sergei V. Ketov

We recently completed a calculation of the process $e^+e^- \to Q\bar{Q}+X$, where Q is a heavy quark, at order $O(\alpha_s^2)$. As a first application of this calculation we compute the momentum correlations of $b\bar{b}$ pairs at…

High Energy Physics - Phenomenology · Physics 2016-09-06 P. Nason , C. Oleari

Applying the light-cone sum rules (LCSR) approach, the next-to-leading-order (NLO) corrections to $B \to A$ form factors are calculated with the twist-two and twist-three $B$ meson light-cone distribution amplitudes (LCDAs) at leading power…

High Energy Physics - Phenomenology · Physics 2025-12-04 Fang-Zhou Di , Yu-Hao Liu

Following the previously developed approach to the calculation of quantum corrections to the effective potential in arbitrary scalar field theories in the leading logarithmic approximation, we extended it to the next-to-leading order. Based…

High Energy Physics - Theory · Physics 2026-02-13 R. M. Iakhibbaev , D. I. Kazakov , A. I. Mukhaeva , D. M. Tolkachev

The QCD-induced $W^\pm \gamma$ production channels in association with two jets are computed at next-to-leading order QCD accuracy. The W bosons decay leptonicly and full off-shell and finite width effects as well as spin correlations are…

High Energy Physics - Phenomenology · Physics 2015-07-15 Francisco Campanario , Matthias Kerner , Le Duc Ninh , Dieter Zeppenfeld

With the advent of generalized unitarity and parametric integration techniques, the construction of a generic Next-to-Leading Order Monte Carlo becomes feasible. Such a generator will entail the treatment of QCD color in the amplitudes. We…

High Energy Physics - Phenomenology · Physics 2014-11-20 Walter Giele , Zoltan Kunszt , Jan Winter

We study the ultraviolet properties of the supersymmetric CP^{N-1} sigma model in three dimensions to next-to-leading order in the 1/N expansion. We calculate the \beta-function to this order and verify that it has no next-to-leading order…

High Energy Physics - Theory · Physics 2009-10-31 Takeo Inami , Yorinori Saito , Masayoshi Yamamoto

We compute the next-to-leading order QCD and electroweak corrections to $Z$ and $W$ pole observables using the dimension-6 Standard Model effective field theory and present numerical results that can easily be included in global fitting…

High Energy Physics - Phenomenology · Physics 2022-09-28 Sally Dawson , Pier Paolo Giardino

The Method of Successive Approximations (MSA) is a fixed-point iterative method used to solve stochastic optimal control problems. It is an indirect method based on the conditions derived from the Stochastic Maximum Principle (SMP), an…

Optimization and Control · Mathematics 2024-05-14 Safouane Taoufik , Badr Missaoui

We discuss the leading-logarithmic power corrections in the $N$-jettiness subtraction scheme for higher-order perturbative QCD calculations. We compute the next-to-leading order power corrections for an arbitrary $N$-jet process, and we…

High Energy Physics - Phenomenology · Physics 2017-04-05 Radja Boughezal , Xiaohui Liu , Frank Petriello

A renormalization-group scheme is developed for the 3-dimensional O($2N$)-symmetric Ginzburg-Landau-Wilson model, which is consistent with the use of a 1/N expansion as a systematic method of approximation. It is motivated by an application…

Statistical Mechanics · Physics 2009-11-07 Ian D. Lawrie , Dominic J. Lee

In this Letter, we present for the first time a calculation of the complete next-to-leading order corrections to the $gg \to ZH$ process. We use the method of small mass expansion to tackle the most challenging two-loop virtual amplitude,…

High Energy Physics - Phenomenology · Physics 2022-09-20 Guoxing Wang , Xiaofeng Xu , Yongqi Xu , Li Lin Yang

We compute the next-to-next-to-leading order (NNLO) QCD corrections to b \to c l \bar \nu_l decay rate at a fully differential level. Arbitrary cuts on kinematic variables of the decay products can be imposed. Our computation can be used to…

High Energy Physics - Phenomenology · Physics 2014-11-18 Kirill Melnikov

The decay widths of top quark to S-wave $b\bar{c}$ and $b\bar{b}$ bound states are evaluated at the next-to-leading(NLO) accuracy in strong interaction. Numerical calculation shows that the NLO corrections to these processes are remarkable.…

High Energy Physics - Phenomenology · Physics 2014-11-20 Peng Sun , Li-Ping Sun , Cong-Feng Qiao

We compute next-to-leading order QCD corrections to the process $gg\to ZH$. In the effective-theory approach we confirm the results in the literature. We consider top quark mass corrections via an asymptotic expansion and show that there is…

High Energy Physics - Phenomenology · Physics 2017-03-08 Alexander Hasselhuhn , Thomas Luthe , Matthias Steinhauser
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