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We discuss interplay between the high-twist (HT) terms in the operator-product expansion and the next-to-next-to-leading-order (NNLO) QCD corrections to the deep-inelastic-scattering structure functions in analysis of the high-precision…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Alekhin

Polarized inclusive deep-inelastic diffractive scattering is dealt with in a quantum field theoretic approach. The process can be described in the general framework of non-forward scattering processes using the light-cone expansion in the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Blümlein , D. Robaschik

We review recent developments in the calculation of deep-inelastic structure functions to next-to-next-to leading order in perturbative QCD. We discuss the impact of these corrections on the determination of the strong coupling alpha_s and…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Moch , J. A. M. Vermaseren , M. Zhou

We calculate the leptonic ${\cal O}(\alpha^2 L)$ corrections for unpolarized deeply inelastic ep scattering using mixed variables.

High Energy Physics - Phenomenology · Physics 2009-11-07 Johannes Blümlein , Hiroyuki Kawamura

In this work we consider the problem of extracting a set of interaction parameters from an high-dimensional dataset describing T independent configurations of a complex system composed of N binary units. This problem is formulated in the…

Statistical Mechanics · Physics 2013-11-04 Iacopo Mastromatteo

Deep inelastic scattering data on F2 structure function from various fixed-target experiments were analyzed in the non-singlet approximation with a next-to-next-to-leading-order accuracy. The study of high statistics deep inelastic…

High Energy Physics - Phenomenology · Physics 2014-11-20 B. G. Shaikhatdenov , A. V. Kotikov , V. G. Krivokhizhin , G. Parente

Inelastic scattering experiments are key methods for mapping the full dispersion of fundamental excitations of solids in the ground as well as non-equilibrium states. A quantitative analysis of inelastic scattering in terms of phonon…

The perturbative QCD predictions concerning deep inelastic scattering at low $x$ are summarized. The theoretical framework based on the leading log $1/x$ resummation and $k_t$ factorization theorem is described and some recent developments…

High Energy Physics - Phenomenology · Physics 2010-03-25 J. Kwiecinski

We calculate the $O(\alpha_s^2)$ massive operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2 \gg m^2$, up to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Isabella Bierenbaum , Johannes Blümlein , Sebastian Klein , Carsten Schneider

A proof of critical conformal invariance of Green's functions for a quite wide class of models possessing critical scale invariance is given. A simple method for establishing critical conformal invariance of a composite operator, which has…

High Energy Physics - Theory · Physics 2008-02-03 S. E. Derkachov , N. A. Kivel , A. S. Stepanenko , A. N. Vasiliev

Deep inelastic scattering data on the F_2 structure function provided by the BCDMS, SLAC and NMC collaborations are analyzed in the non-singlet approximation with the analytic and "frozen" modifications of the strong coupling constant…

High Energy Physics - Phenomenology · Physics 2015-05-19 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

Using a perturbative model for diffractive interactions, we derive an expression for the polarized diffractive structure function $g_1^D$ in the high energy limit. This structure function is given by the interference of diffractive…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. Bartels , T. Gehrmann , M. G. Ryskin

In a recent study, the finite-time ($t$) and -population size ($N_c$) scalings in the evaluation of a large deviation function (LDF) estimator were analyzed by means of the cloning algorithm. These scalings provide valuable information…

Statistical Mechanics · Physics 2018-08-30 Esteban Guevara Hidalgo

The nucleon structure study in nuclear deep inelastic scattering is considered. It is shown that nuclear data provide a new source of information about dynamics of parton distributions in the nucleon. An example of the neutron structure…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Molochkov

The effect of nonperturbative and higher order perturbative corrections to all the free nucleon structure functions ($F_{iN}(x,Q^2); i=1-5$) in the DIS of $\nu_\tau/{\bar\nu}_\tau$ on nucleon is studied. The target mass correction (TMC) and…

High Energy Physics - Phenomenology · Physics 2021-01-04 V. Ansari , M. Sajjad Athar , H. Haider , S. K. Singh , F. Zaidi

We present a nonperturbative recipe for directly computing the $S$-matrix in strongly-coupled QFTs. The method makes use of spectral data obtained in a Hamiltonian framework and can be applied to a wide range of theories, including…

High Energy Physics - Theory · Physics 2023-06-14 Brian Henning , Hitoshi Murayama , Francesco Riva , Jedidiah O. Thompson , Matthew T. Walters

We show that naive dimensional analysis (NDA) is equivalent to the result that L-loop scattering amplitudes have perturbative order N=L+Delta, with a shift Delta that depends on the NDA-weight of operator insertions. The NDA weight of an…

High Energy Physics - Phenomenology · Physics 2015-06-17 Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott

We give an overview of recent developments in the computation of the anomalous dimension matrix of composite operators in non-forward kinematics. The elements of this matrix determine the scale dependence of non-perturbative parton…

High Energy Physics - Phenomenology · Physics 2024-05-29 S. Van Thurenhout

We compute the d-dimensional critical exponents corresponding to the wave function and mass renormalization of the quark in QCD in the Landau gauge at a new order, O(1/N_f^2), in the large N_f expansion. The computations are simplified by…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ciuchini , S. E. Derkachov J. A. Gracey , A. N. Manashov

We consider the problem of building numerically stable algorithms for computing Discrete Fourier Transform (DFT) of $N$- length signals with known frequency support of size $k$. A typical algorithm, in this case, would involve solving…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Charantej Reddy Pochimireddy , Aditya Siripuram , Brad Osgood
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