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Martin Block Northwestern University

Martin Block Northwestern University. Nucleon-nucleon, g p and gg scattering , using factorization: the Aspen Model and analytic amplitude analysis. Outline.

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Martin Block Northwestern University

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  1. Martin Block Northwestern University Nucleon-nucleon, gp and gg scattering, using factorization:the Aspen Model and analytic amplitude analysis mblock@northwestern.edu

  2. Outline • Part I: fitting stot, r values and B, nuclear slopes of accelerator data--p-p and pbar-p--using a QCD-inspired model (Aspen Model)M.M. Block, E.M. Gregores, F. Halzen & G. Pancheri • Part II: global fit using both cosmic ray and accelerator data simultaneously M.M. Block, F. Halzen & T. Stanev • Part III: predictions of forward scattering parameters for LHC (14 TeV)---stot, selastic, r, and B mblock@northwestern.edu

  3. Part V-Experimental evidence for • factorization, quark counting and vector • dominance in n-n, gp and gg collisions, using the • Aspen Model • M. M. Block, F. Halzen, A .B. Kaidalov and G. Pancheri • Part IV-The factorization hypothesis: relating n-n, gp and gg collisions M. M. Block and A. B. Kaidalov • Part VI-Experimental evidence for • factorization, using real analytical amplitudes, • for n-n, gp and gg collisions • M. M. Block and K. Kang mblock@northwestern.edu

  4. Eduardo, Martin, Francis 3 of 4 authors working hard! Giulia, #4 author Part I: fitting stot, r values and B, nuclear slopes, of accelerator data--p-p and pbar-p-- using a QCD-inspired model (Aspen Model) M.M. Block, E.M. Gregores, F. Halzen & G. Pancheri mblock@northwestern.edu

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  8. We set mblock@northwestern.edu

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  10. s vs. energy r vs. energy B vs. energy Results of the c2 Fit to s, r and B data from pp and pbar-p mblock@northwestern.edu

  11. Part II: global fit using both cosmic ray and accelerator data simultaneously M.M. Block, F. Halzen & T. Stanev Francis wearing money tie (for ICE CUBE?) Todor thinking? mblock@northwestern.edu

  12. The published cosmic ray data (the Diamond and Triangles) are the problem Accelerator data give good fit mblock@northwestern.edu

  13. Monte Carlo Example Fly’s Eye Shower Profile Fig. 7 Xmax distribution with exponential trailing edge Fig. 1 An extensive air shower that survives all data cuts. The curve is a Gaisser-Hillas shower-development function: shower parameters E=1.3 EeV and Xmax =727 ± 33 g cm-2 give the best fit. EXPERIMENTAL PROCEDURE mblock@northwestern.edu

  14. Extraction of stot(pp) from Cosmic Ray Extensive Air Showers mblock@northwestern.edu

  15. See R. Engel et al, Phys. Rev. D58, 014019 (1998), for stot(p-air) curves, using Glauber theory Published Fly’s Eye Result: stot(p-air)= 540 ± 50 mb, at 30 TeV mblock@northwestern.edu

  16. s vs. energy Result of Global fit for stot(pp) and stot(pbar-p), using both Accelerator and Cosmic Ray Data mblock@northwestern.edu

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  18. Alexei Consequences of the Factorization Hypothesis in nucleon-nucleon, g-p and g-g Collisions, M. M. Block, Northwestern University A. B. Kaidalov, Moscow University mblock@northwestern.edu

  19. all s mblock@northwestern.edu

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  22. B c.m.s. energy mblock@northwestern.edu

  23. Does factorization depend on using a dipole-dipole form factor? Could we also use a monopole-monopole for gg, with a monopole-dipole for g-p? mblock@northwestern.edu

  24. dipole-dipole dipole-monopole monopole-monopole Fourier transforms set <b2>nn = <b2>gg yields energy –independent relation: n = m /Ö2 mblock@northwestern.edu

  25. Total cross section and the ratio of elastic to total cross section nn uses dipole-dipole, gp uses monopole-dipole, gg uses monopole-monopole mblock@northwestern.edu

  26. Kyungsik Kang, In Paris To test factorization, we will utilize real analytical amplitudes Part VI: Experimental evidence for factorization, using real analytical amplitudes, for n-n, gp and gg collisions M. M. Block and K. Kang mblock@northwestern.edu

  27. even: odd: Real Analytic Amplitudes mblock@northwestern.edu

  28. Real analytic amplitudes for gp and gg mblock@northwestern.edu

  29. sgg, using either PHOJET or PYTHIA--data are from L3 and OPALM. Acciari et al, Phys. Lett. B519, 33 (2001),G. Abbiendi et al, Eur. Phys. J. C14 ,199 (2000). mblock@northwestern.edu

  30. GOOD BAD GLOBAL FIT mblock@northwestern.edu

  31. spp , spbar-pvs.Ös mblock@northwestern.edu

  32. rpp , rpbar-pvs.Ös mblock@northwestern.edu

  33. sg-p=(2/3*Phad)snn mblock@northwestern.edu

  34. curve: sgg =(2/3*Phad)2snndata: L3 and OPAL, renormalized by factor 0.929, using PHOJET mblock@northwestern.edu

  35. solid line: rnn=rgp=rggdotted line: rnn from QCD-Inspired Fit (Aspen Model) mblock@northwestern.edu

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