1 Test of the Universal Rise of Total Cross Sections at Super-high Energies and LHC Keiji IGI RIKEN, Japan August 10, 2007 Summer Institute 2007, Fuji-Yoshid a In collaboration with Muneyuki ISH IDA K.Igi and M.Ishida: hep-ph/0703038(to be published i n Euro.Phys. J. C) Phys.Rev.D66 (2002) 034023; Phys.Lett. B 622 (2005) 286; Prg.Theor.Phys. 116 (2006) 1097
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Test of the Universal Rise of Total Cross Sections at Super-high Energies and LHC
Test of the Universal Rise of Total Cross Sections at Super-high Energies and LHC. Keiji IGI RIKEN, Japan August 10, 2007 Summer Institute 2007, Fuji-Yoshida In collaboration with Muneyuki ISHIDA. K.Igi and M.Ishida: hep-ph/0703038(to be published in Euro.Phys. J. C) - PowerPoint PPT Presentation
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Test of the Universal Rise of Total Cross Sections at
Super-high Energies and LHC
Keiji IGI
RIKEN, Japan
August 10, 2007
Summer Institute 2007, Fuji-Yoshida
In collaboration with Muneyuki ISHIDAK.Igi and M.Ishida: hep-ph/0703038(to be published in Euro.Phys. J. C)
Introduction• As is well-known as Froissart-Martin unitarity bound, Incre
ase of tot. cross section σtot is
at most log2ν: • However, before 2002, it was not known whether this in
crease is described by logνor log2ν in πp scattering.
• Therefore we have proposed to use rich inf. of σtot(πp) in accel. energy reg. through FESR.
log2ν preferred• This preference has also been confirmed by Bloc
k,Halzen’04,’05.
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• For , we searched for the simultaneous best fit of
and up to some energy(e.g.,ISR) in terms of high-energy parameters constrained by FESR.
• We then predicted and in the LHC and high-energy cosmic-ray regions.
tot
tot
14s TeV17( 5 10 )up to eV
,pp p p
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(a) : All region tot (c) : High energy region
tot
(d)
Fig.1. Predictions for and
The fit is done for data up to ISR
11.5 62.7GeV s GeV
as shown by the arrow.
It is very important to notice that energy range of predcted tot
several orders of mag. larger than energy region of input.
| LHC(ECM=14TeV)
| LHC(ECM=14TeV)
p=70GeV| |ISR (p=2100GeV)
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Universal rise of σtot?
Statement :
Rise of σtot at super-high energies is universal
by COMPETE collab., that is,
the coefficient B in front of log2(s/s0) term is universal
for all processes with N and γ targets
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Particle Data Group’06
(by COMPETE collab.)
Assuming universal B, σtot is fitted by log2ν for various processes:
pp, Σ-p, πp, Kp, γp
ν: energy in lab.system
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Result in PDG’06 by COMPETE
B is taken to be universal from the beginning.
σπN ~ σNN ~・・・ assumed at super-high energies!
Analysis guided strongly by theory !
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Particle Data Group 2006• stated that models with asymp. terms wo
rks much better than models with or was confirmed by [Igi,Ishida’02,’05], [Block,Halzen’04,’05].
• “Both these refs., however, questioned the statement (by [COMPETE Collab.]) on the universality of the coeff. of the log2(s/s0). The two refs. give different predictions at superhigh energies: