Cosmic Neutrinos and Quantum Gravity with Extra Dimensions
This paper has been withdrawn by the authors because the authors excluded the paper from electronic proceedings of the conference.
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Publications and source records attributed to V. A. Petrov.
This paper has been withdrawn by the authors because the authors excluded the paper from electronic proceedings of the conference.
The small curvature option of the Randall-Sundrum model with two branes is considered which has almost continuous spectrum of low-mass Kaluza-Klein gravitons. It is shown that gravity effects related with these excitations can be detected in double diffractive events at the LHC and in inclined air showers induced by interactions of cosmic neutrinos with atmospheric nucleons at ultra-high energies.
EDDE is a Monte Carlo event generator, under construction, for different Exclusive Double Diffractive Events. The program is based on the extended Regge-eikonal approach for "soft" processes. Standard Model and its extensions are used for "hard" fusion processes. An interface to PYTHIA, CMSJET and CMKIN is provided.
Exclusive photoproduction of heavy quarkonia at HERA is analyzed in the framework of the Regge-eikonal approach together with the nonrelativistic bound state formalism. Total and differential cross-sections for the process $γ+p\to (Q\bar{Q})_{1S}+p$ are calculated. The model predicts cross-sections of Exclusive Double Diffractive Events (EDDE) at TeVatron and LHC.
The experimentally measurable effects related to extra dimensional gravity in a RS-type brane world are estimated. Two options of the RS framework (namely, with small and large curvature) are considered. It is shown that both can be detected by the joint experiment of the CMS and TOTEM Collaborations at the LHC.
The problems concerning a possible discovery of the mini block holes at earthly accelerators are discussed.
Some highlights of the priority in the discovery of the gravitational field equations are given.
BLACK HOLES ON EARTH AND IN SPACE
The inelastic scattering of the brane fields induced by $t$-channel gravireggeons exchanges in the RS model with a small curvature $κ$ is considered, and the imaginary part of the eikonal is analytically calculated. It is demonstrated that the results can be obtained from the corresponding formulae previously derived in the ADD model with one extra dimension of the size $R_c$ by formal replacement $R_c \to (πκ)^{-1}$. The inelastic cross section for the scattering of ultra-high neutrino off the nucleon is numerically estimated for the case $κ\ll \bar{M}_5 \sim 1$ TeV, where $\bar{M}_5$ is a reduced Planck scale in five warped dimensions.
On the basis of some peculiar scaling properties of the OPE coefficient functions, we give the lower bounds for F_2^{c\bar{c}} and F_2^{b\bar{b}} independently of the properties of the gluon density function. Predictions for F_2^{b\bar{b}} within reach of HERA are made.
A new method for calculating the coefficient functions of the operator product expansion is proposed which does not depend explicitly on elementary fields. Coefficient functions are defined entirely in terms of composite operators. The method is illustrated in the case of QCD nonsinglet operators.
Exclusive Double Diffractive Events (EDDE) are analysed as the source of information about the central system. Experimental possibilities for exotic particles searches are considered. From the reggeized tensor current picture some azimuthal angle dependences were obtained to fit the data from WA102 experiment and to make predictions for LHC collider.
The pathways along which A. Einstein and D. Hilbert independently came to the gravitational field equations are traced. Some of the papers that assert a point of view on the history of the derivation of the gravitational field equations ``that radically differs from the standard point of view'' are critically analyzed. It is shown that the conclusions drawn in these papers are completely groundless.
The gravity effects in high-energy scattering, described by a four-dimensional eikonal amplitude related to gravireggeons induced by compact extra dimensions are studied. It is demonstrated that the real part of the eikonal (with a massless mode subtracted) dominates its imaginary part at both small and large impact parameters, in contrast to the usual case of hadronic high-energy behavior. The real part of the scattering amplitude exhibits an exponential falloff at large momentum transfer, similar to that of the imaginary part of the amplitude.
Exclusive double diffractive events (EDDE) are considered in the framework of the Regge-eikonal approach and perturbative calculations for "hard" subprocesses. Total and differential cross-sections for processes $p+p\to p+X+p$ are calculated.
We present the results on non-perturbative quantum gravity effects related to extra dimensions which can be comparable, in some cases, with the SM contributions, e.g. in lepton-lepton or lepton-nucleon scattering. The case of cosmic neutrino gravitational interaction with atmospheric nucleons is considered in detail.
Quark mass effects are analyzed at high $Q^2$ in the current fragmentation region of DIS. It is found that the linear combination $F_2-2.75F^c_2$ scales at large $Q^2$ and small $x$. We obtained a lower bound for the ratio $F^c_2/F_2$ which lies very close to the data from HERA.
An analysis of the Coulombic amplitude and its interference with the nuclear amplitude which is driven by the three-component Pomeron is presented. It is shown that different approaches towards the Coulomb phase evaluation give approximately uniform result at all energies and the difference is negligible at RHIC and LHC energies. We show that the use of the amplitude which was fitted to accomodate nucleon data only (in the region 0.01 < |t| < 14.5 (GeV^2)) combined with the Coulomb amplitude, reproduces the existing data in the Coulomb interference domain quite accurately without any adjustement of the parameters. As a consequence, we predict the differential cross section in the region of the Coulomb nucleon interference for both RHIC and LHC energies.