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A new scheme for the numerical evaluation of the one-loop self-energy correction to all orders in Z \alpha is presented. The scheme proposed inherits the attractive features of the standard potential-expansion method but yields a…

Atomic Physics · Physics 2009-11-11 Vladimir A. Yerokhin , Krzysztof Pachucki , Vladimir M. Shabaev

We compute logarithmic corrections to the O(a^2) lattice artifacts for a class of lattice actions for the non-linear O(n) sigma-model in two dimensions. The generic leading artifacts are of the form $a^2[\ln(a^2)]^{(n/(n-2))}$. We also…

High Energy Physics - Lattice · Physics 2009-05-29 Janos Balog , Ferenc Niedermayer , Peter Weisz

Principal component analysis (PCA) is a widely used dimension reduction technique in machine learning and multivariate statistics. To improve the interpretability of PCA, various approaches to obtain sparse principal direction loadings have…

Data Structures and Algorithms · Computer Science 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

In this contribution, the recent calculation of next-to-next-to-leading order QCD and next-to-leading order electroweak corrections to the decay $B_s\to \mu^+\mu^-$ is reviewed, and a detailed discussion of the uncertainty of the theory…

High Energy Physics - Phenomenology · Physics 2014-06-27 Matthias Steinhauser

In this paper we consider the next-to-next-to-leading order total cross section of Higgs boson pair production in the large top quark mass limit and compute four expansion terms in $1/m_t^2$. Good convergence is observed below the top quark…

High Energy Physics - Phenomenology · Physics 2022-01-26 Joshua Davies , Florian Herren , Go Mishima , Matthias Steinhauser

We study the region of small transverse momenta in qqbar- and gg-initiated processes with no colored particle detected in the final state. We present the universal expression of the O(alpha_s^2) logarithmically enhanced contributions up to…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. de Florian , M. Grazzini

We have computed semi-inclusive spin asymmetries for proton and deuteron targets including next to leading order (NLO) QCD corrections and contributions coming from the target fragmentation region. These corrections have been estimated…

High Energy Physics - Phenomenology · Physics 2016-08-15 D. de Florian , L. N. Epele , H. Fanchiotti , C. A. García Canal , S. Joffily , R. Sassot

We present the complete next-to-leading order short-distance QCD corrections to the effective \dstwo -hamiltonian in the Standard Model. The calculation of the coefficient $\eta_3$ is described in great detail. It involves the two-loop…

High Energy Physics - Phenomenology · Physics 2009-10-28 Stefan Herrlich , Ulrich Nierste

We present a calculation of the next-to-leading order (O(alpha_s^2 alpha)) QCD corrections to heavy flavor photoproduction with longitudinally polarized beams. We apply our results to study the longitudinal spin asymmetry for the total…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Bojak , M. Stratmann

One-loop QCD corrections to the full gauge invariant set of electroweak diagrams describing the charged current processes $e^+ e^- \to u \bar d \mu \bar\nu_\mu$ (CC10), $e^+ e^- \to u \bar d e^- \bar\nu_e$ (CC20) and $e^+ e^- \to u \bar d s…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Maina , R. Pittau , M. Pizzio

The leading correction to the smoothed connected energy density-density correlation function is obtained for the large energy difference, within the context of the Gaussian Random Matrix Theory. In order to achieve this result, the…

Condensed Matter · Physics 2015-06-25 Vladan Lucic

We develop an efficient algorithm for evaluating divergent perturbation expansions of field theories in the bare coupling constant g_B for which we possess a finite number L of expansion coefficients plus two more informations: The…

Condensed Matter · Physics 2009-10-31 Florian Jasch , Hagen Kleinert

We reformulate the O(N) sigma model as a loop model whose configurations are the all-order strong coupling graphs of the original model. The loop configurations are represented by a pointer list in the computer and a Monte Carlo update…

High Energy Physics - Lattice · Physics 2015-03-13 Ulli Wolff

Within NRQCD factorization framework, in this work we compute, at the lowest order in velocity expansion, the next-to-leading-order (NLO) perturbative corrections to the short-distance coefficients associated with heavy quark fragmentation…

High Energy Physics - Phenomenology · Physics 2021-07-28 Feng Feng , Yu Jia , Wen-Long Sang

In this paper, we consider the task of efficiently computing the numerical solution of evolutionary complex Ginzburg--Landau equations on Cartesian product domains with homogeneous Dirichlet/Neumann or periodic boundary conditions. To this…

Numerical Analysis · Mathematics 2024-06-19 Marco Caliari , Fabio Cassini

In this paper, further extensions of the result of the paper "A successive approximation method in functional spaces for hierarchical optimal control problems and its application to learning, arXiv:2410.20617 [math.OC], 2024" concerning a…

Optimization and Control · Mathematics 2024-11-26 Getachew K. Befekadu

We study corrections to scaling in the O(3)- and O(4)-symmetric phi^4 model on the three-dimensional simple cubic lattice with nearest neighbour interactions. For this purpose, we use Monte Carlo simulations in connection with a finite size…

Condensed Matter · Physics 2008-11-26 Martin Hasenbusch

Several aspects of next-to-leading (NLO) order corrections to see-saw formulas are discussed and phenomenologically relevant situations are identified. We generalize the formalism to calculate the NLO terms developed for the type I see-saw…

High Energy Physics - Phenomenology · Physics 2011-05-05 Hans Hettmansperger , Manfred Lindner , Werner Rodejohann

A general method for computing ${\cal O} (\alpha^2)$ and higher-order next-to-leading photonic corrections is presented and applied to the precision calculation of the small-angle Bhabha scattering cross section in the phase-space region of…

High Energy Physics - Phenomenology · Physics 2011-04-20 G. Montagna , O. Nicrosini , F. Piccinini

$O(n) \times O(m)$ symmetric Landau-Ginzburg models in $d=3$ dimension possess a rich structure of the renormalization group and its understanding offers a theoretical prediction of the phase diagram in frustrated spin models with…

High Energy Physics - Theory · Physics 2014-07-09 Yu Nakayama , Tomoki Ohtsuki
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