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We discuss some formal and practical aspects related to the replacement of Integral Dispersion Relations (IDR) by derivative forms, without high-energy approximations. We first demonstrate that, for a class of functions with physical…

High Energy Physics - Phenomenology · Physics 2011-08-04 R. F. Avila , M. J. Menon

The representation of the usual integral dispersion relations (IDR) of scattering theory through series of derivatives of the amplitudes is discussed, extended, simplified, and confirmed as mathematical identities. Forms of derivative…

High Energy Physics - Phenomenology · Physics 2008-11-26 Erasmo Ferreira , Javier Sesma

Integral and derivative dispersion relations (DR) are considered for the $pp$ and $\bar pp$ forward scattering amplitudes. A new representation for the derivative DR, valid at lower energies than the standard one, is obtained. The data on…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Cudell , E. Martynov , O. V. Selyugin

Recent studies suggest that global fits of Parton Distribution Functions (PDFs) might inadvertently 'fit away' signs of new physics in the high-energy tails of the distributions measured at the high luminosity programme of the LHC (HL-LHC).…

High Energy Physics - Phenomenology · Physics 2024-10-03 Elie Hammou , Maria Ubiali

Deeply Virtual Compton Scattering and electroproduction of mesons involve amplitudes that are analytic in energy. Analyticity enables Dispersion Relations (DR's) for such amplitudes, relating real and imaginary parts. Lately it has been…

High Energy Physics - Phenomenology · Physics 2009-08-18 Gary R. Goldstein , Simonetta Liuti

Dispersion Relations (DR) are known to be a powerful instrument for studying scattering amplitudes. In particular, they often apply to calculations in Perturbative QCD and Standard Model. We argue that applying DR to amplitudes with…

High Energy Physics - Phenomenology · Physics 2024-04-02 B. I. Ermolaev , S. I. Troyan

We explore particle physics beyond accelerator energies, motivated by questions exposed in astroparticle physics observations: 1) Are there reasonable modifications to the standard extrapolations of LHC-tuned hadronic interaction models, so…

High Energy Physics - Phenomenology · Physics 2019-03-01 Glennys R. Farrar

We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global…

Analysis of PDEs · Mathematics 2022-10-05 Patrick van Meurs , Ken'ichiro Tanaka

The large hadron collider (LHC) is anticipated to provide signals of new physics at the TeV scale, which are likely to involve production of a WIMP dark matter candidate. The international linear collider (ILC) is to sort out these signals…

Physics at the Large Hadron Collider (LHC) and the International e+e- Linear Collider (ILC) will be complementary in many respects, as has been demonstrated at previous generations of hadron and lepton colliders. This report addresses the…

High Energy Physics - Phenomenology · Physics 2012-08-27 LC Study Group , G. Weiglein , T. Barklow , E. Boos , A. De Roeck , K. Desch , F. Gianotti , R. Godbole , J. F. Gunion , H. E. Haber , S. Heinemeyer , J. L. Hewett , K. Kawagoe , K. Monig , M. M. Nojiri , G. Polesello , F. Richard , S. Riemann , W. J. Stirling , A. G. Akeroyd , B. C. Allanach , D. Asner , S. Asztalos , H. Baer , M. Battaglia , U. Baur , P. Bechtle , G. Belanger , A. Belyaev , E. L. Berger , T. Binoth , G. A. Blair , S. Boogert , F. Boudjema , D. Bourilkov , W. Buchmuller , V. Bunichev , G. Cerminara , M. Chiorboli , H. Davoudiasl , S. Dawson , S. De Curtis , F. Deppisch , M. A. Diaz , M. Dittmar , A. Djouadi , D. Dominici , U. Ellwanger , J. L. Feng , I. F. Ginzburg , A. Giolo-Nicollerat , B. K. Gjelsten , S. Godfrey , D. Grellscheid , J. Gronberg , E. Gross , J. Guasch , K. Hamaguchi , T. Han , J. Hisano , W. Hollik , C. Hugonie , T. Hurth , J. Jiang , A. Juste , J. Kalinowski , W. Kilian , R. Kinnunen , S. Kraml , M. Krawczyk , A. Krokhotine , T. Krupovnickas , R. Lafaye , S. Lehti , H. E. Logan , E. Lytken , V. Martin , H. -U. Martyn , D. J. Miller , S. Moretti , F. Moortgat , G. Moortgat-Pick , M. Muhlleitner , P. Niezurawski , A. Nikitenko , L. H. Orr , P. Osland , A. F. Osorio , H. Pas , T. Plehn , W. Porod , A. Pukhov , F. Quevedo , D. Rainwater , M. Ratz , A. Redelbach , L. Reina , T. Rizzo , R. Ruckl , H. J. Schreiber , M. Schumacher , A. Sherstnev , S. Slabospitsky , J. Sola , A. Sopczak , M. Spira , M. Spiropulu , Z. Sullivan , M. Szleper , T. M. P. Tait , X. Tata , D. R. Tovey , A. Tricomi , M. Velasco , D. Wackeroth , C. E. M. Wagner , S. Weinzierl , P. Wienemann , T. Yanagida , A. F. Zarnecki , D. Zerwas , P. M. Zerwas , L. Zivkovic

We introduce a general framework for constructing dispersion relations using crossing-symmetric variables, leading to infinitely many distinct representations of the 2-to-2 scattering amplitude of identical scalars. Classical formulations…

High Energy Physics - Theory · Physics 2025-09-18 Joan Elias Miro , Andrea Guerrieri , Mehmet Asim Gumus , Ahmadullah Zahed

Hard scattering in p-p collisions, discovered at the CERN ISR in 1972 by the method of leading particles, proved that the partons of Deeply Inelastic Scattering strongly interacted with each other. Further ISR measurements utilizing…

Nuclear Experiment · Physics 2009-11-11 M. J. Tannenbaum

The Large Hadron electron Collider (LHeC) is designed to move the field of deep inelastic scattering (DIS) to the energy and intensity frontier of particle physics. Exploiting energy recovery technology, it collides a novel, intense…

High Energy Physics - Experiment · Physics 2022-09-20 P. Agostini , H. Aksakal , S. Alekhin , P. P. Allport , N. Andari , K. D. J. Andre , D. Angal-Kalinin , S. Antusch , L. Aperio Bella , L. Apolinario , R. Apsimon , A. Apyan , G. Arduini , V. Ari , A. Armbruster , N. Armesto , B. Auchmann , K. Aulenbacher , G. Azuelos , S. Backovic , I. Bailey , S. Bailey , F. Balli , S. Behera , O. Behnke , I. Ben-Zvi , M. Benedikt , J. Bernauer , S. Bertolucci , S. S. Biswal , J. Blümlein , A. Bogacz , M. Bonvini , M. Boonekamp , F. Bordry , G. R. Boroun , L. Bottura , S. Bousson , A. O. Bouzas , C. Bracco , J. Bracinik , D. Britzger , S. J. Brodsky , C. Bruni , O. Brüning , H. Burkhardt , O. Cakir , R. Calaga , A. Caldwell , A. Calıskan , S. Camarda , N. C. Catalan-Lasheras , K. Cassou , J. Cepila , V. Cetinkaya , V. Chetvertkova , B. Cole , B. Coleppa , A. Cooper-Sarkar , E. Cormier , A. S. Cornell , R. Corsini , E. Cruz-Alaniz , J. Currie , D. Curtin , M. D'Onofrio , J. Dainton , E. Daly , A. Das , S. P. Das , L. Dassa , J. de Blas , L. Delle Rose , H. Denizli , K. S. Deshpande , D. Douglas , L. Duarte , K. Dupraz , S. Dutta , A. V. Efremov , R. Eichhorn , K. J. Eskola , E. G. Ferreiro , O. Fischer , O. Flores-Sánchez , S. Forte , A. Gaddi , J. Gao , T. Gehrmann , A. Gehrmann-De Ridder , F. Gerigk , A. Gilbert , F. Giuli , A. Glazov , N. Glover , R. M. Godbole , B. Goddard , V. Gonçalves , G. A. Gonzalez-Sprinberg , A. Goyal , J. Grames , E. Granados , A. Grassellino , Y. O. Gunaydin , Y. C. Guo , V. Guzey , C. Gwenlan , A. Hammad , C. C. Han , L. Harland-Lang , F. Haug , F. Hautmann , D. Hayden , J. Hessler , I. Helenius , J. Henry , J. Hernandez-Sanchez , H. Hesari , T. J. Hobbs , N. Hod , G. H. Hoffstaetter , B. Holzer , C. G. Honorato , B. Hounsell , N. Hu , F. Hug , A. Huss , A. Hutton , R. Islam , S. Iwamoto , S. Jana , M. Jansova , E. Jensen , T. Jones , J. M. Jowett , W. Kaabi , M. Kado , D. A. Kalinin , H. Karadeniz , S. Kawaguchi , U. Kaya , R. A. Khalek , H. Khanpour , A. Kilic , M. Klein , U. Klein , S. Kluth , M. Köksal , F. Kocak , M. Korostelev , P. Kostka , M. Krelina , J. Kretzschmar , S. Kuday , G. Kulipanov , M. Kumar , M. Kuze , T. Lappi , F. Larios , A. Latina , P. Laycock , G. Lei , E. Levitchev , S. Levonian , A. Levy , R. Li , X. Li , H. Liang , V. Litvinenko , M. Liu , T. Liu , W. Liu , Y. Liu , S. Liuti , E. Lobodzinska , D. Longuevergne , X. Luo , W. Ma , M. Machado , S. Mandal , H. Mäntysaari , F. Marhauser , C. Marquet , A. Martens , R. Martin , S. Marzani , J. McFayden , P. Mcintosh , B. Mellado , F. Meot , A. Milanese , J. G. Milhano , B. Militsyn , M. Mitra , S. Moch , M. Mohammadi Najafabadi , S. Mondal , S. Moretti , T. Morgan , A. Morreale , P. Nadolsky , F. Navarra , Z. Nergiz , P. Newman , J. Niehues , E. A. Nissen , M. Nowakowski , N. Okada , G. Olivier , F. Olness , G. Olry , J. A. Osborne , A. Ozansoy , R. Pan , B. Parker , M. Patra , H. Paukkunen , Y. Peinaud , D. Pellegrini , G. Perez-Segurana , D. Perini , L. Perrot , N. Pietralla , E. Pilicer , B. Pire , J. Pires , R. Placakyte , M. Poelker , R. Polifka , A. Polini , P. Poulose , G. Pownall , Y. A. Pupkov , F. S. Queiroz , K. Rabbertz , V. Radescu , R. Rahaman , S. K. Rai , N. Raicevic , P. Ratoff , A. Rashed , D. Raut , S. Raychaudhuri , J. Repond , A. H. Rezaeian , R. Rimmer , L. Rinolfi , J. Rojo , A. Rosado , X. Ruan , S. Russenschuck , M. Sahin , C. A. Salgado , O. A. Sampayo , K. Satendra , N. Satyanarayan , B. Schenke , K. Schirm , H. Schopper , M. Schott , D. Schulte , C. Schwanenberger , T. Sekine , A. Senol , A. Seryi , S. Setiniyaz , L. Shang , X. Shen , N. Shipman , N. Sinha , W. Slominski , S. Smith , C. Solans , M. Song , H. Spiesberger , J. Stanyard , A. Starostenko , A. Stasto , A. Stocchi , M. Strikman , M. J. Stuart , S. Sultansoy , H. Sun , M. Sutton , L. Szymanowski , I. Tapan , D. Tapia-Takaki , M. Tanaka , Y. Tang , A. T. Tasci , A. T. Ten-Kate , P. Thonet , R. Tomas-Garcia , D. Tommasini , D. Trbojevic , M. Trott , I. Tsurin , A. Tudora , I. Turk Cakir , K. Tywoniuk , C. Vallerand , A. Valloni , D. Verney , E. Vilella , D. Walker , S. Wallon , B. Wang , K. Wang , K. Wang , X. Wang , Z. S. Wang , H. Wei , C. Welsch , G. Willering , P. H. Williams , D. Wollmann , C. Xiaohao , T. Xu , C. E. Yaguna , Y. Yamaguchi , Y. Yamazaki , H. Yang , A. Yilmaz , P. Yock , C. X. Yue , S. G. Zadeh , O. Zenaiev , C. Zhang , J. Zhang , R. Zhang , Z. Zhang , G. Zhu , S. Zhu , F. Zimmermann , F. Zomer , J. Zurita , P. Zurita

Combined analyses at the Large Hadron Collider and at the International Linear Collider are important to reveal precisely the new physics model as, for instance, supersymmetry. Examples are presented where ILC results as input for LHC…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gudrid Moortgat-Pick

We gather infrared (IR) photometric data from 8 to 500 microns (Spitzer, WISE, IRAS and Herschel) for all of the HRS galaxies. Draine & Li (2007) models are fit to the data from which the stellar contribution has been carefully removed. We…

We review various applications of dispersion relations (DRs) to the electromagnetic structure of hadrons. We discuss the way DRs allow one to extract information on hadron structure constants by connecting information from complementary…

High Energy Physics - Phenomenology · Physics 2018-07-04 B. Pasquini , M. Vanderhaeghen

Inelastic proton scattering under extreme forward angles including $0^\circ$ and at energies of a few hundred MeV has been established as a new spectroscopic tool for the study of complete dipole strength distributions in nuclei. Such data…

Nuclear Experiment · Physics 2020-05-11 Peter von Neumann-Cosel , Atsushi Tamii

The density dependent relativistic hadron (DDRH) theory is introduced as an effective field theory for nuclei and hypernuclei. A Dirac-Brueckner approach to in-medium nucleon-hyperon interactions is presented. Density dependent meson-baryon…

Nuclear Theory · Physics 2007-05-23 H. Lenske , C. M. Keil , F. Hofmann , S. Briganti

We examine present data for double parton scattering at LHC and discuss their energy dependence from its earliest measurements at the ISR. Different models for the effective cross-section are considered and their behavior studied for a…

High Energy Physics - Phenomenology · Physics 2019-11-18 Giulia Pancheri , Agnes Grau , Simone Pacetti , Yogendra N. Srivastava

Precise measurements of the interactions of electroweak vector bosons at the ILC yield information about the physics of electroweak symmetry breaking. In order to combine this with the possible observation of new resonances or the effects…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Kilian , J. Reuter
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