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Dual-tree wavelet decompositions have recently gained much popularity, mainly due to their ability to provide an accurate directional analysis of images combined with a reduced redundancy. When the decomposition of a random process is…

Statistics Theory · Mathematics 2011-08-30 Caroline Chaux , Jean-Christophe Pesquet , Laurent Duval

The twist--2 contributions to the polarized structure functions in deep inelastic lepton--hadron scattering are calculated including the exchange of weak bosons and using both the operator product expansion and the covariant parton model. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , N. Kochelev

We consider higher-order corrections to hyperfine coefficients related to the spin-orbit and spin-spin tensor interactions in hydrogen molecular ions. The $m\alpha^7 \ln(\alpha)$-order radiative correction is derived in the NRQED framework.…

Atomic Physics · Physics 2022-09-14 Mohammad Haidar , Vladimir I. Korobov , Laurent Hilico , Jean-Philippe Karr

We consider top quark production and decay in the narrow width approximation and study if the polarisation effects, that manifest themselves in correlations of angular distributions of particles from top quark decays and final state jets in…

High Energy Physics - Phenomenology · Physics 2024-11-25 Sergei Makarov , Kirill Melnikov , Paolo Nason , Melih A. Ozcelik

In this paper we study the expectation value of deformations of the circular Wilson loop in ${\cal N}=4$ super Yang-Mills theory. The leading order deformation, known as the Bremsstrahlung function, can be obtained exactly from…

High Energy Physics - Theory · Physics 2019-01-15 Michael Cooke , Amit Dekel , Nadav Drukker , Diego Trancanelli , Edoardo Vescovi

We study nonperturbative corrections to the transverse momentum distribution of vector bosons in the Drell-Yan process. Factorizing out the Sudakov effects due to soft gluons we express their contribution to the distribution in the form of…

High Energy Physics - Phenomenology · Physics 2010-02-03 Sofiane Tafat

We prove that regulating infrared divergencies generates power (~1/(Q^2)^k) corrections to the spin structure function g_1 at small x and large Q^2. At the same time it leads to the corrections ~(Q^2)^k at small Q^2. We present the explicit…

High Energy Physics - Phenomenology · Physics 2010-03-25 B. I. Ermolaev , M. Greco , S. I. Troyan

We develop a framework combining the higher-twist formalism of exclusive processes in the $s$ channel with the semi-classical effective description of small-$x$ physics in the $t$ channel. We apply it to transversely polarized light vector…

High Energy Physics - Phenomenology · Physics 2024-12-06 Renaud Boussarie , Michael Fucilla , Lech Szymanowski , Samuel Wallon

We evaluate the contribution of a class of higher-twist operators to the lowest moment of the Structure Functions, by computing appropriate matrix elements of six four-fermion operators in the quenched approximation. Their perturbative…

High Energy Physics - Lattice · Physics 2015-06-25 S. Capitani , M. Göckeler , R. Horsley , B. Klaus , V. Linke , P. Rakow , A. Schäfer , G. Schierholz

We present a first study of gluonic twist-four corrections to the deep inelastic structure function F_2 at small x and small Q^2. The calculations are based upon the double logarithmic approximation of the coupled twist-four evolution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jochen Bartels , Claas Bontus

The parametric error on the QCD-coupling can be a dominant source of uncertainty in several important observables. One way to extract the coupling is to compare high order perturbative computations with lattice evaluated moments of heavy…

High Energy Physics - Lattice · Physics 2023-01-25 Leonardo Chimirri

Wavelet decompositions of integral operators have proven their efficiency in reducing computing times for many problems, ranging from the simulation of waves or fluids to the resolution of inverse problems in imaging. Unfortunately,…

Image and Video Processing · Electrical Eng. & Systems 2020-08-03 Paul Escande , Pierre Weiss

The energy levels of the double-well potential receive, beyond perturbation theory, contributions which are non-analytic in the coupling strength; these are related to instanton effects. For example, the separation between the energies of…

Mathematical Physics · Physics 2009-11-07 U. D. Jentschura , J. Zinn-Justin

The summary of the results of our next-to-next-to-leading fits of Tevatron experimental data for $xF_3$ structure function of the $\nu N$ deep-inelastic scattering is given. The special attention is paid to the extraction of twist-4…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev , G. Parente , A. V. Sidorov

The dominant electroweak double logarithmic corrections to the process $e^+e^-\to f\bar f$ at high energy are found in all orders of perturbation theory. In contrast to results in simple Yang-Mills theories these corrections do not…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. H. Kühn , A. A. Penin

Higher-order tensors appear in various areas of mechanics as well as physics, medicine or earth sciences. As these tensors are highly complex, most are not well understood. Thus, the analysis and the visualization process form a highly…

Mathematical Physics · Physics 2023-05-04 Anja Barz , Chiara Hergl , Gerik Scheuermann

We investigate the effect of high order radiative corrections in unpolarized electron proton elastic scattering and compare with the calculations at lowest order, which are usually applied to experimental data. Particular attention is…

High Energy Physics - Phenomenology · Physics 2015-06-17 E. A. Kuraev , A. I. Ahmadov , Yu. M. Bystritskiy , E. Tomasi-Gustafsson

We re-examine the estimates of the higher twist contributions to the integral of $g_1$, the polarised structure function of the nucleon, based on QCD sum rules. By including corrections both to the perturbative contribution and to the low…

High Energy Physics - Phenomenology · Physics 2009-10-22 Graham G. Ross , R. G. Roberts

We compute the next-to-leading order QCD corrections to the production of W bosons in association with three jets at the Tevatron in the leading color approximation, which we define by considering the number of colors and the number of…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Keith Ellis , Kirill Melnikov , Giulia Zanderighi

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu
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