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In this paper we investigate the effect of introducing transverse momentum cutoffs on the BFKL equation. We present solutions in moment space for various models of the BFKL kernel for different combinations of these cutoffs. We improve on…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. F. McDermott , J. R. Forshaw

The fluctuations of the passage time in first passage percolation are of great interest. We show that the non-random fluctuations in planar FPP are at least of order $\log(n)^\alpha$ for any $\alpha<1/2$ under some conditions that are known…

Probability · Mathematics 2025-11-11 Malte Hassler

Particle acceleration at astrophysical shocks may be very efficient if magnetic scattering is self-generated by the same particles. This nonlinear process adds to the nonlinear modification of the shock due to the dynamical reaction of the…

Astrophysics · Physics 2009-11-11 Elena Amato , Pasquale Blasi

Using the Calogero model as an example, we show that the transport in interacting non-dissipative electronic systems is essentially non-linear. Non-linear effects are due to the curvature of the electronic spectrum near the Fermi energy. As…

Strongly Correlated Electrons · Physics 2007-05-23 Eldad Bettelheim , Alexander G. Abanov , Paul Wiegmann

We study nucleon-nucleon ($NN$) scattering by applying the $N/D$ method in chiral perturbation theory up to next-to-next-to-leading (NNLO) order in the calculation of the imaginary part of the $NN$ partial-wave amplitudes along the…

Nuclear Theory · Physics 2014-02-13 J. A. Oller

We propose a new method to test the (resummed) next-to-leading-order BFKL evolution kernels using the Mellin transformed j-moments of the proton structure function F_2.

High Energy Physics - Phenomenology · Physics 2014-11-17 R. Peschanski

In a quantum field approach to neutrino oscillations, the neutrino is treated as a propagator, while the external initial and final particle states are described by covariant wave packets. For the asymptotic behavior on short and long…

High Energy Physics - Phenomenology · Physics 2025-12-19 Vadim A. Naumov , Dmitry S. Shkirmanov

We investigate a one dimensional quantum mechanical model, which is invariant under translations and dilations but does not respect the conventional conformal invariance. We describe the possibility of modifying the conventional conformal…

High Energy Physics - Theory · Physics 2011-06-27 Shih-Hao Ho

We discuss exclusive vector meson electroproduction within the QCD collinear factorization framework. In Bjorken kinematics the amplitude factorizes in a convolution of the nonperturbative meson distribution amplitude and the generalized…

High Energy Physics - Phenomenology · Physics 2007-12-20 D. Yu. Ivanov

We present results for unpolarized and polarized semi-inclusive deep-inelastic scattering mediated by electroweak gauge bosons at next-to-next-to-leading order (NNLO) in perturbative quantum chromodynamics. The results include all relevant…

High Energy Physics - Phenomenology · Physics 2026-04-01 Saurav Goyal , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

We revisit the Fourier transform of a Hankel function, of considerable importance in the theory of knife edge diffraction. Our approach is based directly upon the underlying Bessel equation, which admits manipulation into an alternate…

General Mathematics · Mathematics 2021-12-21 J. A. Grzesik

We study the sea quark contribution to the BFKL kernel in the framework of Mueller's dipole model using the results of our earlier calculation. We first obtain the BFKL equation with the running coupling constant. We observe that the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuri V. Kovchegov , Heribert Weigert

We summarize recent work on the evaluation of the scale invariant next-to-leading order Lipatov kernel, constructed via transverse momentum diagrams. At zero momentum transfer the square of the leading-order kernel appears together with an…

High Energy Physics - Phenomenology · Physics 2014-11-17 C. Coriano` , R. R. Parwani , A. R. White

We compute the next-to-leading order perturbative QCD corrections to the correlators of nucleon interpolating currents in relativistic nuclear matter. The main new result is the calculation of the O(alpha_s) perturbative corrections to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Groote , J. G. Körner , A. A. Pivovarov

The dipole form of the gluon part of the colour singlet BFKL kernel in the next-to-leading order (NLO) is obtained in the coordinate representation by direct transfer from the momentum representation, where the kernel was calculated before.…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. S. Fadin , R. Fiore , A. V. Grabovsky , A. Papa

Nonlinear single Compton scattering has been thoroughly investigated in the literature under the assumption that initially the electron has a definite momentum. Here, we study a more general initial state, and consider the electron as a…

High Energy Physics - Phenomenology · Physics 2016-05-04 A. Angioi , F. Mackenroth , A. Di Piazza

I discuss radiative corrections to the BFKL equation for high energy cross sections in perturbative QCD. Due to the gluon Reggeization in the next-to-leading $\ln s$ approximation, the form of the BFKL equation remains unchanged and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. S. Fadin

We show that the forward-jet measurements performed at HERA allow for a detailed study of corrections due to next-to-leading logarithms (NLL) in the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach. While the description of the d\sigma/dx data…

High Energy Physics - Phenomenology · Physics 2010-03-25 O. Kepka , C. Marquet , R. Peschanski , C. Royon

We discuss how the multi-Regge factorisation of QCD amplitudes can be used in the study of multi-jet processes at colliders. We describe how the next-to-leading logarithmic (NLL) BFKL evolution can be combined with energy and momentum…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jeppe R. Andersen

In this contribution we study azimuthal angle decorrelation in inclusive dijet cross sections taking into account the next-to-leading (NLO) corrections to the BFKL kernel while keeping the jet vertices at leading order. We show how the…

High Energy Physics - Phenomenology · Physics 2009-04-14 A. Sabio Vera , F. Schwennsen