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We use the BFKL equation to calculate the rate of deep inelastic scattering events containing two forward jets (adjacent to the proton remnants) at HERA. We compare the production of two forward jets with that of only one forward jet (the…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Kwiecinski , C. A. M. Lewis , A. D. Martin

Kernel functions may be used in robotics for comparing different poses of a robot, such as in collision checking, inverse kinematics, and motion planning. These comparisons provide distance metrics often based on joint space measurements…

Robotics · Computer Science 2019-10-16 Nikhil Das , Michael C. Yip

As noticed by Fadin, Kuraev and Lipatov in 1975 incorporation of asymptotic freedom into the BFKL equation splits the QCD pomeron into a series of isolated poles in complex angular momentum plane. Following our earlier work on the proton…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. N. Nikolaev , J. Speth , V. R. Zoller

HERA $ep$ collider provides unique information on the proton structure. High center of mass energy $s=320$ GeV gives access to both the low Bjorken-$x$ domain and regime of high momentum transfers $Q$. Recently the H1 collaboration reported…

High Energy Physics - Experiment · Physics 2009-11-03 A. Glazov

Measurements of the proton structure function $F_2$ for $0.6 < Q^2 < 17 {GeV}^2$ and $1.2 \times 10^{-5} < x <1.9 \times 10^{-3}$ from ZEUS 1995 shifted vertex data are presented. From ZEUS $F_2$ data the slopes $dF_2/d\ln Q^2$ at fixed $x$…

High Energy Physics - Experiment · Physics 2012-08-27 ZEUS Collaboration

The next-to-next-to-leading order (NNLO) non-singlet QCD analysis of the experimental data of the CCFR collaboration for the $xF_3$ and $F_2$ structure functions of the deep-inelastic scattering of neutrinos and antineutrinos on the nucleon…

High Energy Physics - Phenomenology · Physics 2011-04-20 A. L. Kataev , A. V. Kotikov , G. Parente , A. V. Sidorov

It is shown that the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the BFKL equation, when evaluated in non-Abelian physical renormalization schemes with BLM optimal scale setting do not exhibit the…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky , Victor S. Fadin , Victor T. Kim , Lev N. Lipatov , Grigorii B. Pivovarov

By making use of the hybrid collinear and high-energy factorization, where the BFKL resummation of leading and next-to-leading energy logarithms is combined with the standard description in terms of collinear parton densities, we compare…

High Energy Physics - Phenomenology · Physics 2022-12-07 Francesco Giovanni Celiberto , Alessandro Papa

I examine the form of the solution of the BFKL equation with running coupling relevant for deep inelastic scattering. The evolution of structure functions is precisely determined and well described by an effective coupling of the form…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne

The longitudinal proton structure function (FL) has been measured at the HERA collider in positron-proton deep inelastic scattering collisions with the H1 and ZEUS detectors. This measurement is achieved by using multiple center-of-mass…

High Energy Physics - Experiment · Physics 2010-10-07 Jason Schwartz

The $F_{2}$, $F_{G}$, $R=F_{L}/F_{T}$ proton structure functions are derived in the QCD dipole picture of BFKL dynamics. We get a three parameter fit describing the 1994 H1 proton structure function $F_{2}$ data in the low $x$, moderate…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ch. Royon

A measurement of the proton structure function $F_{\!2}(x,Q^2)$ is reported for momentum transfer squared $Q^2$ between 4.5 $GeV^2$ and 1600 $GeV^2$ and for Bjorken $x$ between $1.8\cdot10^{-4}$ and 0.13 using data collected by the HERA…

High Energy Physics - Experiment · Physics 2012-08-27 H1 Collaboration

We compute the proton structure function F_2^p at small x and large Q^2 at next-to-leading order in alpha_s(Q^2), including summations of all leading and subleading logarithms of Q^2 and 1/x in a way consistent with momentum conservation.…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. D. Ball , S. Forte

An analysis of twist composition of Balitsky-Kovchegov (BK) amplitude is performed in the double logarithmic limit. In this limit the BK evolution of color dipole -- proton scattering is equivalent to BFKL evolution which follows from…

High Energy Physics - Phenomenology · Physics 2015-06-23 Leszek Motyka , Mariusz Sadzikowski

We construct an anomalous dimension for small x evolution which goes beyond standard fixed order perturbative evolution by including resummed small x logarithms deduced from the leading order BFKL equation with running coupling.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

Using the QCD dipole picture of the hard BFKL Pomeron, we perform a 3 parameter fit analysis of the recent inclusive structure function experimental measurements at small-$x$ and intermediate $Q^2$. As a byproduct, the longitudinal…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Lengyel , M. V. T. Machado

The Electron Localization Function (ELF) by Becke and Edgecombe [J. Chem. Phys. {\bf 92}, 5397 (1990)] is routinely adopted as a descriptor of atomic shells and covalent bonds. Since the ELF and its related quantities find useful…

Materials Science · Physics 2018-08-29 Stefano Pittalis , Daniele Varsano , Alain Delgado , Carlo Andrea Rozzi

We complete the calculation of the next-to-leading kernel of the BFKL equation, by disentangling its energy-scale dependent part from the impact factor corrections in large-k dijet production. Using the irreducible part previously…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcello Ciafaloni , Gianni Camici

Based on the QCD dipole picture of the BFKL Pomeron, we investigate the role played by the saturation scale, Q_{sat}, in obtaining physical values for the affective strong coupling in phenomenological fits to small-x HERA data. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. I. Lengyel , M. V. T. Machado

Using the standard Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach, with partial inclusion of next-to-leading order effects, we propose the inclusive hadroproduction of a Higgs boson and of a jet, featuring large transverse momenta and well…

High Energy Physics - Phenomenology · Physics 2022-08-03 Francesco Giovanni Celiberto , Dmitry Yu. Ivanov , Mohammed. M. A. Mohammed , Alessandro Papa