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Related papers: Regge Behavior of DIS Structure Functions

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We derive dispersion estimates for solutions of a one-dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. To this end we also provide new results…

Spectral Theory · Mathematics 2022-04-11 Elena Kopylova , Gerald Teschl

We provide a pedagogical introduction to Regge theory as it pertains to the study of hadrons and their interactions. We clarify the fundamental concepts of analyticity in the complex angular momentum plane and their implications for…

High Energy Physics - Phenomenology · Physics 2025-12-29 Daniel Winney , Adam P. Szczepaniak

At small momentum transfer, the quark-gluon scattering cross section d{\sigma}/dt has a power-law divergence in the backward scattering region where the outgoing quark is nearly collinear to the incoming gluon. In this Regge limit |t|<< s,…

High Energy Physics - Phenomenology · Physics 2022-03-02 Arindam Bhattacharya , Aneesh V. Manohar , Matthew D. Schwartz

We report here our results on how to obtain the Regge trajectory of a resonance from its pole in a scattering process by imposing analytic constraints in the complex angular momentum plane. The method, suited for resonances that dominate an…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Nebreda , J. T. Londergan , J. R. Pelaez , A. P. Szczepaniak

AxFe2-ySe2 (A=K, Rb, Cs) superconductors may show a complex mixture of structural phases even in a single crystal form. A full sphere of the diffraction intensity has been collected, with the help of synchrotron radiation, for Cs0.8Fe1.6Se2…

Deep-inelastic scattering at small x is a new field of QCD phenomenology which HERA experiments started to explore. The data show the feature expected by the perturbative Regge asymptotics. We describe the parton picture of structure…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kirschner

We study large time behavior of quantum walks (QWs) with self-dependent (nonlinear) coin. In particular, we show scattering and derive the reproducing formula for inverse scattering in the weak nonlinear regime. The proof is based on…

Mathematical Physics · Physics 2018-01-31 Masaya Maeda , Hironobu Sasaki , Etsuo Segawa , Akito Suzuki , Kanako Suzuki

We present a unified description of nuclear deep inelastic scattering (DIS) over the whole region $0<x<1$ of the Bjorken variable. Our approach is based on a relativistically covariant formalism which uses analytical properties of quark…

Nuclear Theory · Physics 2009-09-25 S. A. Kulagin , G. Piller , W. Weise

We perform the analysis of quark-antiquark Reggeon exchange in meson-meson scattering, in the framework of the gauge/gravity correspondence in a confining background. On the gauge theory side, Reggeon exchange is described as…

High Energy Physics - Theory · Physics 2011-10-25 M. Giordano , R. Peschanski

We propose a new approach to the problem of rapidity gap survival (RGS) in the production of high-mass systems (H = dijet, heavy quarkonium, Higgs boson) in double-gap exclusive diffractive pp scattering, pp -> p + (gap) + H + (gap) + p. It…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Frankfurt , C. E. Hyde-Wright , M. Strikman , C. Weiss

Analytical study of the rapidity distribution of the final state particles in deep inelastic scattering at small x is presented. We separate and analyse three sources of particle production: fragmentation of the quark-antiquark pair,…

High Energy Physics - Phenomenology · Physics 2017-10-11 B. Blok , Yu. Dokshitzer , M. Strikman

The influence of relativistic contributions to elastic electron deuteron scattering is studied systematically at low and intermediate momentum transfers ($Q^2\leq 30$ fm$^{-2}$). In a $(p/M)$-expansion, all leading order relativistic…

Nuclear Theory · Physics 2009-10-31 Hartmuth Arenhoevel , Frank Ritz , Thomas Wilbois

Many low energy hadrons, such as the rho, can be observed as resonances in scattering experiments. A proposal by L\"uscher enables one to determine infinite volume elastic scattering phases from the two-particle energy spectrum measured…

High Energy Physics - Lattice · Physics 2011-11-15 K. Rummukainen , Steven Gottlieb

Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for…

High Energy Physics - Phenomenology · Physics 2022-03-30 Giulio Falcioni , Einan Gardi , Niamh Maher , Calum Milloy , Leonardo Vernazza

The geometric scaling property observed in the HERA data at small x, that the deep inelastic scattering (DIS) total cross-section is a function of only the variable Q^2*x^\lambda, has been argued to be a manifestation of the saturation…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. Marquet , L. Schoeffel

Dispersion relations let us leverage the analytic structure of scattering amplitudes to derive constraints such as bounds on EFT coefficients. An important input is the large-energy behavior of the amplitude. In this paper, we…

High Energy Physics - Theory · Physics 2026-03-18 Brian McPeak , Marco Venuti , Alessandro Vichi

From a deformed AdS$_5$ space, we used the string/gauge duality to study the deep inelastic scattering for unpolarized fermions with spin 1/2, considering the large Bjorken $x$ parameter regime. Here, we also took into account an anomalous…

High Energy Physics - Phenomenology · Physics 2022-06-15 Eduardo Folco Capossoli , Miguel Angel Martín Contreras , Danning Li , Alfredo Vega , Henrique Boschi-Filho

We study the problem of lateral diffusion on a static, quasi-planar surface generated by a stationary, ergodic random field possessing rapid small-scale spatial fluctuations. The aim is to study the effective behaviour of a particle…

Probability · Mathematics 2014-02-03 A. B. Duncan

We analyze deep inelastic scattering at small Bjorken x, using the approximate conformal invariance of QCD at high energies. Hard pomeron exchanges are resummed eikonally, restoring unitarity at large values of the phase shift in the dual…

High Energy Physics - Phenomenology · Physics 2009-03-19 Lorenzo Cornalba , Miguel S. Costa

Dynamic AdS/QCD is a modification of AdS/QCD that includes the running of the anomalous dimension of the q-bar q quark bilinear and in which the generation of the constituent quark mass plays the role of an IR wall. The model allows one to…

High Energy Physics - Phenomenology · Physics 2015-11-25 Nick Evans , Peter Jones , Marc Scott