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In this paper, we develop a quadrature framework for large-scale kernel machines via a numerical integration representation. Considering that the integration domain and measure of typical kernels, e.g., Gaussian kernels, arc-cosine kernels,…

Machine Learning · Computer Science 2021-06-14 Fanghui Liu , Xiaolin Huang , Yudong Chen , Johan A. K. Suykens

We present the calculations of the complete next-to-leading order (NLO) inclusive total cross sections for the associated production processes $pp\to \tilde{t}_i\tilde{\chi}_k^-+X$ in the Minimal Supersymmetric Standard Model at the CERN…

High Energy Physics - Phenomenology · Physics 2011-09-13 Li Gang Jin , Chong Sheng Li , Jian Jun Liu

We present a complete next-to-leading order study of top-squark pair production at the LHC, including QCD and EW corrections. The calculation is performed within the Minimal Supersymmetric Standard Model and numerical results are presented…

High Energy Physics - Phenomenology · Physics 2015-06-19 Jan Germer , Wolfgang Hollik , Jonas M. Lindert , Edoardo Mirabella

Heavy fermion pair production in $e^+e^-$ annihilation is a fundamental process in hadron physics and is of considerable interest for various phenomena. In this paper, we will apply the Principle of Maximum Conformality (PMC) to provide a…

High Energy Physics - Phenomenology · Physics 2020-07-15 Sheng-Quan Wang , Stanley J. Brodsky , Xing-Gang Wu , Leonardo Di Giustino , Jian-Ming Shen

Naively, the "best" method of renormalization is the one where a momentum cutoff is taken to infinity while maintaining stable results due to a cutoff-dependent adjustment of counterterms. We have applied this renormalization method in the…

Nuclear Theory · Physics 2012-08-14 Ch. Zeoli , R. Machleidt , D. R. Entem

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

We establish a deterministic and stochastic spherical quasi-interpolation framework featuring scaled zonal kernels derived from radial basis functions on the ambient Euclidean space. The method incorporates both quasi-Monte Carlo and Monte…

Numerical Analysis · Mathematics 2025-10-15 Zhengjie Sun , Mengyuan Lv , Xingping Sun

Kernel herding belongs to a family of deterministic quadratures that seek to minimize the worst-case integration error over a reproducing kernel Hilbert space (RKHS). These quadrature rules come with strong experimental evidence that this…

Machine Learning · Computer Science 2025-08-12 Martin Rouault , Rémi Bardenet , Mylène Maïda

In the paper, we present QCD predictions for $\eta_{c} + \gamma$ production at an electron-position collider up to next-to-next-to-leading order (NNLO) accuracy without renormalization scale ambiguities. The NNLO total cross-section for…

High Energy Physics - Phenomenology · Physics 2021-02-24 Huai-Min Yu , Wen-Long Sang , Xu-Dong Huang , Jun Zeng , Xing-Gang Wu , Stanley J. Brodsky

In this work, we apply the subtracted kernel method (SKM) to the chiral nucleon-nucleon ($NN$) interaction in the $^3P_0$ channel up to next-to-next-to-leading-order ($NNLO$). We demonstrate, by explicit numerical calculations, that the SKM…

Nuclear Theory · Physics 2013-11-04 Sérgio Szpigel , Varese S. Timóteo

The PHOTOS Monte Carlo is often used for simulation of QED effects in decay of intermediate particles and resonances. Momenta are generated in such a way that samples of events cover the whole bremsstrahlung phase space. With the help of…

High Energy Physics - Phenomenology · Physics 2010-12-15 G. Nanava , Qingjun Xu , Z. Was

I present the next-to-next-to-leading-logarithm (NNLL) resummation of soft and collinear gluon corrections to single top quark production in the s channel. Attaining NNLL accuracy involves the calculation of the two-loop soft anomalous…

High Energy Physics - Phenomenology · Physics 2010-04-14 Nikolaos Kidonakis

The setting of the renormalization scale ($\mu_r$) in the perturbative QCD (pQCD) is one of the crucial problems for achieving precise fixed-order pQCD predictions. The conventional prescription is to take its value as the typical momentum…

High Energy Physics - Phenomenology · Physics 2023-05-05 Sheng-Quan Wang , Stanley J. Brodsky , Xing-Gang Wu , Jian-Ming Shen , Leonardo Di Giustino

The complete next-to-next-to-leading order (i.e. $O(v^2)$, $O(v \alpha_s)$ and $O(\alpha_s^2)$) relativistic corrections to the total photon mediated $t\bar t$ production cross section at threshold are presented in the framework of…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. H. Hoang , T. Teubner

We investigate a number of observables that are and will be instrumental in the exploration of $\tbart$ production and decay at the Tevatron and the LHC. For this analysis we made a computer program that incorporates besides the NLO QCD…

High Energy Physics - Phenomenology · Physics 2014-11-20 Werner Bernreuther , Zong-Guo Si

We apply a unified machine-learning framework based on Normalizing Flows (NFs) for the event-by-event reconstruction of invisible momenta and the subsequent evaluation of spin-sensitive observables in top-quark pair and dark-matter (DM)…

High Energy Physics - Phenomenology · Physics 2025-10-14 E. Abasov , L. Dudko , E. Iudin , A. Markina , P. Volkov , G. Vorotnikov , M. Perfilov , A. Zaborenko

Scalar and pseudo-scalar resonances decaying to top quarks are common predictions in several scenarios beyond the standard model (SM) and are extensively searched for by LHC experiments. Challenges on the experimental side require…

High Energy Physics - Phenomenology · Physics 2017-11-28 Diogo Buarque Franzosi , Eleni Vryonidou , Cen Zhang

Monte Carlo Renormalization Group (MCRG) methods were designed to study the non-perturbative phase structure and critical behavior of statistical systems and quantum field theories. I adopt the 2-lattice matching method used extensively in…

High Energy Physics - Lattice · Physics 2010-03-25 Anna Hasenfratz

A perturbative renormalization group is formulated for the study of Hamiltonian light-front field theory near a critical Gaussian fixed point. The only light-front renormalization group transformations found that can be approximated by…

High Energy Physics - Theory · Physics 2009-10-28 Robert J. Perry

Precision determinations of the top-quark mass require theory predictions with a well-defined mass parameter in a given renormalization scheme. The top-quark's running mass in the MSbar scheme can be extracted with good precision from the…

High Energy Physics - Phenomenology · Physics 2014-08-27 S. Moch