slide1 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Imposing the Froissart Bound on Hadronic Interactions: PowerPoint Presentation
Download Presentation
Imposing the Froissart Bound on Hadronic Interactions:

Loading in 2 Seconds...

play fullscreen
1 / 23

Imposing the Froissart Bound on Hadronic Interactions: - PowerPoint PPT Presentation


  • 119 Views
  • Uploaded on

Imposing the Froissart Bound on Hadronic Interactions: Part II, Deep Inelastic Scattering & new structure functions for ultra-high energy n -n cross sections. Martin Block Northwestern University. Prior Restraint! the Froissart Bound. Outline.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Imposing the Froissart Bound on Hadronic Interactions:' - fola


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

Imposing the Froissart Bound on Hadronic Interactions:

Part II, Deep Inelastic Scattering & new structure functions for ultra-high energy n-n cross sections

Martin BlockNorthwestern University

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide2

Prior Restraint! the Froissart Bound

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide3

Outline

1) The Proton Structure Function F2p(x,Q2) : “Small-x Behavior of Parton Distributions from the Observed Froissart Energy Dependence of the Deep-Inelastic-Scattering Cross Sections”,

M. M. Block, Edmund L. Berger and Chung-I tan, Phys.Rev. Lett. 308 (2006).

2) Global Structure Function Fit and Predictions for Ultra-high Energy Neutrino-nucleon Cross Sections,

Work in progress for this meeting !

M. M. B, Edmund L. Berger and Chung-I Tan

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide4

e

e’

g*

p

g*p scattering

Deep inelastic electron scattering

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide5

M. Block and F. Halzen, Phys Rev D 70, 091901, (2004)

gp log2(s/s0) fit, compared to the pp even amplitude fit

Now employ same formalism for g*p scattering!

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide6

Virtuality

Bjorken x

Proton Structure Function F2(x,Q2), from Deep Inelastic Scattering, Block, Berger & Tan, PRL 99, 88 (2006).

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide7

Reduced Virtual Photon Total Cross Section

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide9

Only ln2(s/s0) term needed!

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide12

Froissart bound fit, ln2 W, to reduced cross sections

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide13

Bjorken x

Individual fits of the proton structure F2(x,Q2) vs. x, for 15 different Q2 values, in GeV2

ONE functional form, ln2 s, fits ALL!

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide16

Scaling Point

Global (Simultaneous) Fit of F2(x,Q2) to x and Q2

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide17

Excellent c2/d.f. for 169 degrees of freedom

F2(x, Q2): Global Fit Parameters for Q2/x >>m2, x<0.09

0.11 < Q2 < 1200 GeV2

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide19

1 £Q2£ 100 GeV2

Predictions are made using ZEUS data in global fit

Experimental data are from H1 collaboration

NO RENORMALIZATION made!

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide20

Comparing ln2x and CTEQ6.5 fits

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide21

Factor of 8 !

Standard CTEQ3 snn

Froissart Bound snn

snn estimates, courtesy F. Halzen

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide22

SUMMARY

M. Block, Aspen Workshop Cosmic Ray Physics 2007

slide23

To be done:

  • Include H1 in global fit, simultaneously fitting F2 and
  • dF2 /d(logQ2), d(logF2) /d(log x)

2. Constrained gluon particle distribution functions (p.d.f.’s)

for LHC &ILC

3. Constrained quark p.d.f’s for LHC & ILC

4. Recalculate cosmic ray neutrino cross sections using

bounded p.d.f.’s; current values are much too big!

Needs x~10-8 and Q2~6400 GeV2 . Enormous extrapolation !

M. Block, Aspen Workshop Cosmic Ray Physics 2007