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R AA 0.6 0.5 0.4 0.3 0.2 0.1 0 0.5 0.4 0.3 0.2 0.1 α q+g plasma fr s =0.7 α fr s =0.5 g plasma 0 0 10 20 0 10 20 0 10 20 p [GeV] T α fr s =0.4 Figure 2: The same as in Fig. 1 for the charged hadrons in Pb+Pb collisions at √ s = 2.76 TeV for α fr s = 0.7, 0.5 and 0.4. The experimental points are the ALICE data 2 , as in 2 the boxes contain the systematic errors. collisions at √ s = 2.76 TeV 2 at LHC. Our results show that slow variation of RAA from RHIC to LHC supports that the QCD coupling constant becomes smaller in the hotter QGP at LHC. Acknowledgments I am grateful to the organizers for such an enjoyable and stimulating meeting and for financial support of my participation. References 1. P.M. Jacobs, M. van Leeuwen, Nucl. Phys. A774, 237 (2006) and references therein. 2. K. Aamodt et al. [ALICE Collaboration], Phys. Lett. B696, 30 (2011). 3. R. Baier, Y.L. Dokshitzer, A.H. Mueller, S. Peigné, and D. Schiff, Nucl. Phys. B483, 291 (1997); ibid. B484, 265 (1997); R. Baier, Y.L. Dokshitzer, A.H. Mueller, and D. Schiff, Nucl. Phys. B531, 403 (1998). 4. B.G. Zakharov, JETP Lett. 63, 952 (1996); ibid 65, 615 (1997); 70, 176 (1999); Phys. Atom. Nucl. 61, 838 (1998). 5. R. Baier, D. Schiff, and B.G. Zakharov, Ann. Rev. Nucl. Part. 50, 37 (2000). 6. U.A. Wiedemann, Nucl. Phys. A690, 731 (2001). 7. M. Gyulassy, P. Lévai, and I. Vitev, Nucl. Phys. B594, 371 (2001). 8. P. Arnold, G.D. Moore, and L.G. Yaffe, JHEP 0206, 030 (2002). 9. R. Baier, Yu.L. Dokshitzer, A.H. Mueller, and D. Schiff, JHEP 0109, 033 (2001). 10. A. Adare et al. [PHENIX Collaboration], Phys. Rev. Lett. 101, 232301 (2008). 11. B.G. Zakharov, JETP Lett. 88, 781 (2008) [arXiv:0811.0445 [hep-ph]]. 12. T. Sjostrand, L. Lonnblad, S. Mrenna, and P. Skands, arXiv:hep-ph/0308153. 13. B.G. Zakharov, JETP Lett. 80, 617 (2004) [arXiv:hep-ph/0410321]. 14. B.G. Zakharov, JETP Lett. 86, 444 (2007) [arXiv:0708.0816 [hep-ph]]. 15. K.J. Eskola, V.J. Kolhinen, and C.A. Salgado, Eur. Phys. J. C9, 61 (1999). 16. B. A. Kniehl, G. Kramer, and B. Potter, Nucl. Phys. B582, 514 (2000). 17. N.N. Nikolaev and B.G. Zakharov, Phys. Lett. B327, 149 (1994). 18. J.D. Bjorken, Phys. Rev. D27, 140 (1983). 19. B. Müller and K. Rajagopal, Eur. Phys. J. C43, 15 (2005).
ELECTRICAL CONDUCTIVITY OF QUARK MATTER IN MAGNETIC FIELD B. KERBIKOV ITEP, Moscow, Russia M. ANDREICHIKOV MIPT–NBIC, Moscow, Russia Fermion currents in dense quark matter embedded into magnetic field are under intense discussions motivated by Chiral Magnetic Effect. We argue that conductivity of quark matter may be independent of the magnetic field direction and not proportional to the magnetic field strength. Magnetic field created by heavy ion currents at RHIC and LHC at the collision moment is huge, |eB| ≥ m 2 π ∼ 10 18 G 1 . An intriguing effect observed by STAR collaboration and first reported at the XLIV-th Recontres de Moriond QCD 2 in the electric current induced in the direction of the magnetic field — Chiral Magnetic Effect 3 . The relaxation time of the magnetic field crucially depends on the quark matter electric conductivity 4 . It is clear that the problem of quark matter conductivity in magnetic field is an important albeit a complicated one. The approach to the problem which we briefly present below patterns on the method developed in condensed matter physics 5 . Kubo formula relates the conductivity to a two–point correlator of the current: σlm(iωk, q) = e2T Tr ωk E,p G M (p, ˜ En)γ l G M (p + q, ˜ En + ωk)γ m , (1) where Tr is taken over Dirac indices, color and flavour indices are omitted, G M is the rela- tivistic Matsubara propagator, ˜ En = En + 1 2τ sgn(En), En = πT (2n + 1), τ is the momentum relaxation time. In the disordered system quark acquires the self–energy proportional to the inverse relaxation time τ on chaotically distributed scatterers. Depending on the averaging procedure of the correlator (1) over the disorder one obtains two different sets of diagrams giving two contributions to the conductivity, namely the Drude (Boltzmann) one σcl and the so–called quantum correction σq. Relation between the two is given by σq (pf l) −1 σcl, where pF is the Fermi momentum and l is the quark mean free path. The values of these parameters depend upon the location of the system on the QCD phase diagram in the (T, µ) coordinates. As an example, we take the quark chemical potential µ 0.4 GeV, consider chiral quarks pF µ, and l 0.5 ÷ 1 fm. Then σq ≥ 0.5σcl and the term “correction” used in condensed matter physics is no more meaningful. Omitting the derivation we present the resulting expression for the frequency dependent conductivity: σ(ω) = σcl + σq = ne2 m τ 1 + ωτ − 2De2 π d3q (2π) 3 1 −iω + Dq2 (2)
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2011 QCD and High Energy Interactio
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Proceedings of the XLVIth RENCONTRE
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2011 RENCONTRES DE MORIOND The XLVI
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Foreword Contents 1. Higgs Searches
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1. Higgs
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95% CL Limit/SM 10 1 Tevatron Run I
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Events/5 GeV 6 10 5 10 4 10 3 10 2
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Events / 0.5 CDF Run II Preliminary
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For the most sensitive sub-channel
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Table 1: Table listing the various
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various SM Higgs mass hypotheses. T
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constraints on parameters are given
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Figure 2: Invariant mass of the ele
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Figure 4: CDF Exclusion limits for
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Table 1: Main phases of 2010 commis
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Table 4: Parameter list for early (
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luminosity of 1.2×10 33 cm −2 s
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2 QCD Analysis settings HERA PDFs a
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min 2 - 2 20 15 10 5 0 H1 and ZEUS
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SM σ / σ 95% CL Limit on 3 10 2 1
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NNLO σ/ σSM 95% CL Upper Bound on
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the report of this working group. I
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2.3 The impact of different PDF par
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SUSY Searches at the Tevatron Ph. G
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on the quality (loose or tight) and
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SUSY searches at ATLAS N. Barlow, o
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channel. These results are combined
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Figure 2: The top left plot shows t
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2010 data. Analysis techniques for
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as main discriminator between event
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sign leptons is particularly intere
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N of events 5 10 DATA 10 4 3 10 10
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) [pb] ν e → B(W’ × σ 10 1 -
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2 Searches in the dijet final state
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ing that the neutrinos were the onl
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The Quasi-Classical Model in SU(N)
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g (γ µ kµ) γ µ Aa µ g (pk)
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3. Top
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of their vertex with respect to the
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of about 9%. 3.1 Differential Cross
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Figure 5: Summary of most recent CD
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the minimum number of jets identifi
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where f’s are probability functio
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hood technique, with a simultaneous
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momentum direction of the b quark f
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Events 200 150 100 50 -1 DØ L=5.4
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after all corrections in the M t¯t
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for prompt J/ψ under the fully tra
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2 Events / 20 MeV/c 50 40 30 20 10
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ATLAS - consists of four parts (mon
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5 D mesons High cross-sections of D
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μ +X') [nb/GeV] → b+X → (pp T
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GeV) μ |
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HEAVY FLAVOUR IN A NUTSHELL Robert
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Figure 1: Overlapping constraints o
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Figure 3: Constraints on new physic
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RECENT B PHYSICS RESULTS FROM THE T
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(IP) distributions are fitted separ
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decays CDF extracts Using a 5.94 fb
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Search for B 0 s → µ+ µ − and
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Ref. 10,11 . The expected GL distri
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IN PURSUIT OF NEW PHYSICS WITH B DE
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τK + K −/τBs 1.01 1.00 0.99 0.9
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CHARMLESS HADRONIC B-DECAYS AT BABA
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surements (fL ∼ 0.5). Several att
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Estimating the Higher Order Hadroni
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the resulting exponent suggests to
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The counterpart of the ground-state
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(a) Tree level signal decay b ¯Bs
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the B0 d system LHCb profits from i
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This result is based on averaging o
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y non-perturbative effects. Using t
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e M(Dπ) distributions obtained D +
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CHARM PHYSICS RESULTS AND PROSPECTS
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LHCb is working towards its first m
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Two body hadronic D decays Yu Fushe
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where the effective coefficients aA
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6. J. J. Sakurai, Phys. Rev. 156, 1
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states: 6π, 2K4π, 4K2π, KSK3π 1
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egion of X(3872), which corresponds
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Figure 1: The π 0 recoil mass spec
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η → π + π − π 0 η ′ →
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conservation. This second principle
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many of them come from gluon nonper
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Latest Jets Results from the Tevatr
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in for the inclusive trijet event s
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RECENT RESULTS ON JETS FROM CMS F.
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dy (pb/GeV) /dp 2 d 10 10 10 9 10
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RECENT RESULTS ON JETS WITH ATLAS G
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| y| < 0.3 ATLAS Preliminary 2.1 <
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EPOS 2 and LHC Results TanguyPierog
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positions are randomly distributed
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ABOUT THE HELIX STRUCTURE OF THE LU
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Figure 2: Left: Correlations betwee
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Improving NLO-parton shower matched
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due to the inclusion of higher orde
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New Results in Soft Gluon Physics C
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Figure 2: Spacetime depiction of Dr
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Central Exclusive Meson Pair Produc
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in the CEP cross section. However i
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AN AVERAGE b-QUARK FRAGMENTATION FU
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1/N dN/dx 3.5 3 2.5 2 1.5 1 0.5 ALE
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W + W + jj at NLO in QCD: an exotic
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Σ fb Σ fb 3.5 3.0 2.5 2.0 0.65 0.
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W/Z+Jets and W/Z+HF Production at t
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Figure 2: Measured inclusive jet di
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W and Z physics with the ATLAS dete
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SHERPA 9 MC generators but not by P
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W/Z + Jets results from CMS V. CIUL
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Events / 0.1 600 500 400 300 200 10
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TEVATRON RESULTS ON MULTI-PARTON IN
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iterative midpoint cone algorithm w
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INVESTIGATIONS OF DOUBLE PARTON SCA
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¦ § ¦ ¨ ¥ ¦ ¨ § ¦ © ¦ §
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Figure 4: Two-dimensional distribut
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SOFT QCD RESULTS FROM ATLAS AND CMS
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as a function of multiplicity for t
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Determination of αS using hadronic
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α S (m Z 0) 0.15 0.14 0.13 0.12 0.
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Reaching beyond NLO in processes wi
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dσ/dp t,max [fb/GeV] 10 5 10 4 10
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Nonlocal Condensate Model for QCD S
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The lower bound for the integration
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AN ALTERNATIVE SUBTRACTION SCHEME F
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where MBorn,g is the underlying Bor
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THE NNPDF2.1 PARTON SET F. CERUTTI
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ottom masses mb of 4.25, 4.5, 5.0 a
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HOLOGRAPHIC DESCRIPTION OF HADRONS
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∫ SYM = κ d 4 ( 1 xdzTr 2 h(z)F
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Nuclear matter and chiral phase tra
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fact that for Nc ≫ 3 a gas of fre
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Recent Results on Light Hadron Spec
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Figure 3: Mass spectrum fitting wit
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MEASUREMENT OF THE J/ψ INCLUSIVE P
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2 Counts per 40 MeV/c 120 100 80 60
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STUDY OF Ke4 DECAYS IN THE NA48/2 E
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photons were accepted while particl
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6. Structure Functions Diffraction
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2 Hadronic Final States and Diffrac
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