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2011 QCD and High Energy Interactions - Rencontres de Moriond ...

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After <strong>Moriond</strong>-<strong>2011</strong>, ATLAS reported the following results from an updated analysis 13 :<br />

σinel(ξ > 10 −6 ) = 60.33 ± 2.10(exp.) ± 0.4 mb (5)<br />

σinel(ξ > m 2 p/s) = 69.4 ± 2.4(exp.) ± 6.9(extr.) mb (6)<br />

Also after <strong>Moriond</strong>-<strong>2011</strong>, CMS reported a measurement 14 of σ inel<br />

vtx based on events with 3<br />

or more particles with pT > 200 MeV/c in |η| < 2.4, σ inel<br />

vtx = 59.7 ± 0.1(stat.) ± 1.1(syst.) ±<br />

2.4(Lumi) mb, <strong>and</strong> using MC mo<strong>de</strong>ls to extrapolate to σ inel<br />

t<br />

obtained:<br />

66.8 ≤ σ inel<br />

t ≤ 74.8 mb. (7)<br />

Both the ATLAS <strong>and</strong> CMS results are in good agreement with the RENORM prediction.<br />

3 Conclusion<br />

The total pp cross section at the LHC is predicted in a phenomenological approach that obeys<br />

all unitarity constraints. The approach is based on a saturated Froissart bound above a pp<br />

collision energy-squared s = sF , leading to an analytic ln 2 (s/sF )-<strong>de</strong>pen<strong>de</strong>nce, σt = (π/so) ·<br />

ln 2 (s/sF ). The scale parameters sF <strong>and</strong> so are experimentally <strong>de</strong>termined from pre-LHC SD<br />

results. Using the ratio Rel/t ≡ σel/σt from a global fit to cross sections 12 to extract σel from<br />

σt, a σmo<strong>de</strong>l inel = 71 ± 6 mb at √ s = 7 TeV is obtained, which is in agreement with the ATLAS<br />

σinel(ξ > m2 p/s) = 69.4 ± 2.4(exp.) ± 6.9(extr.) mb <strong>and</strong> the CMS 66.8 ≤ σinel t ≤ 74.8 mb results.<br />

Acknowledgments<br />

Warm thanks to The Rockefeller University <strong>and</strong> the U.S. Department of <strong>Energy</strong> Office of Science<br />

for financial support, <strong>and</strong> to my colleagues at Rockefeller, CDF <strong>and</strong> CMS for many discussions.<br />

References<br />

1. M. Froissart, Phys. Rev 3, 123 (1961).<br />

2. Bourrely, C., Khuri, N.N., Martin, A., Soffer, J., Wu, T.T.;<br />

http://en.scientificcommons.org/16731756.<br />

3. A. Martin, Nuovo Cimento 42, 930 (1966).<br />

4. A. Martin, Phys. Rev. D 80, 065013 (2009).<br />

5. K. Goulianos, EDS-2009, arXiv:1002.3527: “Diffractive <strong>and</strong> total pp cross sections at<br />

LHC,” pp. 6-11; “Factorization breaking in diffraction,” pp. 121-127.<br />

6. K. Goulianos, “Diffractive cross sections <strong>and</strong> event final states at the LHC,” Forward<br />

Physics at LHC Workshop - La Biodola, Elba, Italy 27-29/05/2010; arXiv:1009.5413<br />

v2[hep-ph].<br />

7. ATLAS Collaboration, “Measurement of the inelastic proton-proton cross section at √ s =<br />

7 TeV using the ATLAS <strong>de</strong>tector,” ATLAS-CONF-<strong>2011</strong>-002, February 6, <strong>2011</strong>.<br />

8. K. Goulianos, Phys. Rept. 101, 169 (1983).<br />

9. K. Goulianos, Phys. Lett. B 358, 379 (1995); Erratum-ib. 363, 268 (1995).<br />

10. K. Goulianos, Phys. Rev. D 80, 111901(R) (2009).<br />

11. E. Levin, Report No. DESY 98-120; arXiv:hep-ph/9808486v1.<br />

12. R. J. M. Covolan, J. Montanha <strong>and</strong> K. Goulianos, “A New <strong>de</strong>termination of the soft<br />

pomeron intercept,” Phys. Lett. B 389, 176 (1996).<br />

13. ATLAS Collaboration, arXiv:1104.0326v1 [hep-ex] 2 Apr <strong>2011</strong> (reference ad<strong>de</strong>d in proof).<br />

14. CMS Collaboration, “Measurement of the pp inelastic cross section using pile-up events,”<br />

DIS-<strong>2011</strong>, Newport News, Va, USA (reference ad<strong>de</strong>d in proof).

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