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Using previously described functional techniques for some non--perturbative, gauge invariant, renormalized QCD processes, a simplified version of the amplitudes --- in which forms akin to Pomerons naturally appear --- provides fits to ISR…

High Energy Physics - Phenomenology · Physics 2020-02-19 H. M. Fried , P. H. Tsang , Y. Gabellini , T. Grandou , Y. M. Sheu

In the analysis of experimental data on $p p$ (or $\bar p p$) elastic differential cross section it is customary to define an average forward slope $b$ in the form $\exp{(-b|t|)}$, where $t$ is the momentum transfer. Taking as working…

High Energy Physics - Phenomenology · Physics 2011-04-04 C. Bourrely , J. Soffer , T. T. Wu

The cross-section for the lowest order $2\rightarrow2$ elastic scattering between two charged scalars under external magnetic field mediated via a neutral scalar, has been computed in strong as well as weak magnetic field limits. This has…

High Energy Physics - Phenomenology · Physics 2020-07-28 Snigdha Ghosh , Vinod Chandra

We have used a conventional model for the $pp \rightarrow pp \pi^{0}$ reaction consisting of the Born term plus the $s$-wave rescattering term. As a novelty we have introduced the off shell dependence of the $\pi N$ $s$-wave isoscalar…

Nuclear Theory · Physics 2009-10-28 E. Hernandez , E. Oset

We derive the complete set of positivity bounds for the leading-twist parton distribution functions (PDFs) of a spin-3/2 hadron for the first time. This work generalizes the Soffer bound, a fundamental constraint for spin-1/2 nucleons, to…

High Energy Physics - Phenomenology · Physics 2026-02-13 Dongyan Fu , Yubing Dong , S. Kumano , Ju-Jun Xie

We calculate the parity-nonconserving longitudinal asymmetry in the elastic $\vec{p} p$ scattering at the energies where experimental data are available. In addition to the standard one-meson exchange weak potential, the variation of the…

Nuclear Theory · Physics 2016-09-08 C. H. Hyun , C. -P. Liu , B. Desplanques

We report on measurements of the differential cross section $d\sigma/d\Omega$ in the energy region of $\sqrt{s}$ = 2.5-2.9 GeV of the reaction $pp \to \{pp\}_s \pi^0$ where $\{pp\}_s$ is a $^1\!S_0$ proton pair. The experiment has been…

Over the past couple of years we have had significant progress in determining long-distance singularities in gauge-theory scattering amplitudes of massless particles beyond the planar limit. Upon considering all kinematic invariants much…

High Energy Physics - Phenomenology · Physics 2018-01-11 Einan Gardi

Recent data from LHC13 by the TOTEM Collaboration have indicated an unexpected decrease in the value of the $\rho$ parameter and a $\sigma_{tot}$ value in agreement with the trend of previous measurements at 7 and 8 TeV. These data at 13…

High Energy Physics - Phenomenology · Physics 2018-10-10 M. Broilo , E. G. S. Luna , M. J. Menon

The non-forward eikonal scattering matrix for dipole-proton scattering at high energy obtains an imaginary part due to a $C$-odd three gluon exchange. We present numerical estimates for the perturbative Odderon amplitude as a function of…

High Energy Physics - Phenomenology · Physics 2025-02-25 Adrian Dumitru , Heikki Mäntysaari , Risto Paatelainen

We improve, in the energy region between $\bar{K}K$ threshold and $\sim~1.4$ GeV, the energy-dependent phase shift analysis of $\pi\pi$ scattering presented in a previous paper. For the S0 wave we have included more data above $\bar{K}K$…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Kaminski , J. R. Pelaez , F. J. Yndurain

We investigate the high-energy behavior of the total cross section, $\sigma_{\text{tot}}$, and the ratio of the real to imaginary parts of the scattering amplitude, $\rho$, in both proton-proton and antiproton-proton channels. Our analysis…

High Energy Physics - Phenomenology · Physics 2025-12-23 T. V. Iser , E. G. S. Luna

We bound EFT coefficients appearing in $2 \to 2$ photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules…

High Energy Physics - Theory · Physics 2022-09-27 Johan Henriksson , Brian McPeak , Francesco Russo , Alessandro Vichi

An analysis of the data on forward $pp, \bar pp, \pi^{\pm}p$ and $K^{\pm}p$ scattering is performed making use of the single- and double-subtraction integral and comparing with derivative dispersion relations for amplitudes. Various pomeron…

High Energy Physics - Phenomenology · Physics 2012-02-08 A. Alkin , J. R. Cudell , E. Martynov

A simple multipole Pomeron and Odderon model for elastic hadron scattering, reproducing the structure of the first and second diffraction cones is used to analyze $pp$ and $\bar{p}p$ scattering. The main emphasis is on the delicate and…

High Energy Physics - Phenomenology · Physics 2012-06-27 A. I. Lengyel , Z. Z. Tarics

This paper is an extended version of the talk by B. Nicolescu at the XLVIII International Symposium on Multiparticle Dynamics (ISMD2018) at Singapore, 3-7 September, 2018. Theoretical basis and history of the Froissaron and Maximal Odderon…

High Energy Physics - Phenomenology · Physics 2019-05-22 E. Martynov , B. Nicolescu

The question of possible existence of oscillations in the region of the diffraction peak in pp-scattering is considered in detail at sqrt{s}=13 TeV. It is shown that within the framework of the available experimental data published by the…

High Energy Physics - Phenomenology · Physics 2024-06-21 Vladimir A. Petrov , Nikolai P. Tkachenko

We use an almost model-independent analytical parameterization for $pp$ and $\bar{p}p$ elastic scattering data to analyze the eikonal, profile, and inelastic overlap functions in the impact parameter space. Error propagation in the fit…

High Energy Physics - Phenomenology · Physics 2014-11-21 S. D. Campos

We demonstrate that the entirety of the data on proton--proton and antiproton--proton forward scattering between 6 GeV and 57 TeV center-of-mass energy is sufficient to show that $\sigma_{\rm elas}/\sigma_{\rm tot} \rightarrow 1/2$, and…

High Energy Physics - Phenomenology · Physics 2016-01-20 Martin M. Block , Loyal Durand , Phuoc Ha , Francis Halzen

This thesis comprises two investigations, both connected with the attempt to understand Regge theory in the framework of QCD. The first is about how the odderon, a Reggeon carrying no charge which is odd under charge conjugation, couples to…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Schatz