GraviReggeons and cosmic neutrinonucleon interactions in theories with extra dimensions

1

Gravi-Reggeons and cosmic neutrino-nucleon
interactions in theories with extra dimensions
A. Kisselev (IHEP, Protvino)
2
SUMMARY

• Warped extra dimension (ED)
• with the small curvature
• AdS5 metric vs. flat metric with
• one compact ED
• Trans-Planckian scattering
• on the brane
• Graviton production in exclusive double
  diffractive event
• Neutrino-nucleon interactions
• at ultra-high energies
• Conclusions

3
Warped Extra Dimension with the Small
Curvature
(Randall Sundrum, 1999)
Background (AdS5 ) metrics
- Minkowski tensor
is the radius of ED
Hierarchy relation
- Planck mass
- gravity scale in 5 dimensions
4
Gravity lives in the bulk
Gravity
Planck brane
TeV brane

SM
SM fields are confined to the TeV brane
5
Gravitational 5-dimensional field
Kaluza-Klein (KK ) gravitons
Radion (scalar) field
graviton masses
6

Interaction Lagrangian on the TeV brane
physical scale
Large curvature option
series of massive resonances
7
Small curvature option
(Giudice et al., 2004, Kisselev Petrov, 2005)
narrow low-mass resonances with the small mass
splitting
Relation to gravity in flat space-time
with one compact ED
is the radius of ED
8
AdS5 Metric vs. Flat Metric with One
Compact ED
RS model with the small curvature is not
equivalent to a model with one large ED of the
size
For instance,
can be realized only for
is the number of EDs
size of the solar system
- strongly limited by astrophysical
bounds
9
Hierarchy equation in d flat EDs (D4d)
Limiting case of a similar relation for the
warped metric
(unrealistic)
for the RS scenario
10
Trans-Planckian Scattering on the Brane
(Kisselev Petrov, 2004/5)
eikonal approximation
Kinematical region
is 4-momentum transfer
Born amplitude is the sum of the reggeized
gravitons in t-channel
Gravi-Reggeons
- the string tension
11
Gravitational amplitude
i




j
Gravi-Reggeon
i,j
- SM fields (q, g, l, n)
(for all SM fields)
12
Imaginary part of the eikonal
One has to calculate the sum
with
At ? ltlt M5 , we obtain
- gravitational radius
13
Fields are weakly coupled to gravity
for small
The summation of t-channel reggeized gravitons
eikonal with no explicit dependence on the
brane scale and curvature
Radion production is strongly suppressed
14
Graviton production in exclusive double
diffractive event (EDDE)
graviton
15
Experimental signature at the LHC
(Kisselev, Petrov Ryutin, 2005)
(joint CMS/TOTEM experiment)
Expected number of events
Integrated luminosity
for
and
16
Distribution in the missing mass of KK
gravitons in EDDE
curves (top to bottom)
17
Cross sections for the production of KK gravitons
in EDDE
curves (top to bottom)
18
Neutrino-nucleon Interactions at
Ultra-high Energies
n
n
i
i
i
i
p
p
19
Gravitational amplitude
Skewed (t-dependent) parton distribution

• standard distribution
• of parton i

b0 and the slope of the hard Pomeron is used
(Petrov Prokudin, 2002)
20
Inelastic neutrino-proton cross sections
dotted curve SM (cc) cross section
21
Neutrino-proton interaction
vs. black hole production
solid curves
dashed curves
22

Detection of neutrino induced air shower by the
Pierre Auger Observatory
(from www.auger.org)
23
High-energy neutrino observatory at the South
Pole (IceCube)
(from icecube.wisc.edu)
24

Extreme Universe Space Observatory (EUSO )
(from www.euso-mission.org)
25
CONCLUSIONS

• Trans-Planckian gravity induced scattering of the
  brane fields is given by an infinite sum of the
  t-channel reggeized gravitons (gravi-Reggeons)
• For a small curvature of AdS5 space, the
  amplitude coincides with that derived in the
  scheme with one flat ED of the size Rc
  after a replacement Rc? 1/k
• Graviton production may be detected in double
  diffractive events by the joint experiment of the
  CMS and TOTEM Collaborations at the LHC

26

• Gravity effects from ED can be measured in
• ultra-high energy neutrino-nucleon events
• by presently planned neutrino detectors
• Gravitational part of the inelastic cross
• section for cosmic neutrino scattering off
• the nucleon is comparable with the BH
• production cross section

27
(No Transcript)