Transplanckian bremsstrahlung and black hole production

Abstract

Classical gravitational bremsstrahlung in particle collisions at transplanckian energies is studied in ${\mathcal{M}}_4\times {\mathcal{T}}^d$. The radiation efficiency $\epsilon \equiv E_{\mathrm{rad}}/E_{\mathrm{initial}}$ is computed in terms of the Schwarzschild radius $r_S(\sqrt{s})$, the impact parameter $b$ and the Lorentz factor ${\gamma }_{\mathrm{cm}}$ and found to be $\epsilon =C_d(r_S/b{)}^{3d+3}{\gamma }_{\mathrm{cm}}^{2d+1}$, larger than previous estimates by many powers of ${\gamma }_{\mathrm{cm}}\gg 1$. The result is reliable for impact parameters in the overlap of $r_S<b<b_c\mathrm{and}b>{\lambda }_C$, with $b_c$ marking (for $d\ne 0$) the loss of the notion of classical trajectories and ${\lambda }_C\equiv \hslash /mc$ the Compton length of the scattered particles. The condition on $s$ and $m$ for extreme radiation damping and (presumably) no black hole production is also derived.

4 pages, revtex 4. The discussion section is changed to better clarify the region of validity of our calculation. The physical conclusions and the abstract are modified accordingly. A few more references added. We just added the preprint number CCTP-2010-18

References in corpus (11)

• The high-energy collision of two black holes
• BlackMax: A black-hole event generator with rotation, recoil, split branes and brane tension
• High-velocity collision of two black holes
• Towards an S-matrix Description of Gravitational Collapse
• Catfish: A Monte Carlo simulator for black holes at the LHC
• High-energy gravitational scattering and black hole resonances
• Black Holes at LHC?
• Black Hole Cross Section at the Large Hadron Collider
• Close-slow analysis for head-on collision of two black holes in higher dimensions: Bowen-York initial data
• Classical and Non-Classical ADD-phenomenology with high-ET jet observables at collider experiments
• Classical ultra-relativistic scattering in ADD

Cited by in corpus (22)

• Strong Gravity Effects of Rotating Black Holes: Quasiperiodic Oscillations
• Numerical relativity for D dimensional space-times: head-on collisions of black holes and gravitational wave extraction
• NR/HEP: roadmap for the future
• Large extra dimensions and small black holes at the LHC
• Radiation from a D-dimensional collision of shock waves: first order perturbation theory
• Radiation Problem in Transplanckian Scattering
• Up to eleven: radiation from particles with arbitrary energy falling into higher-dimensional black holes
• Extra dimensions, black holes and fireballs at the LHC
• Gravitational bremsstrahlung in ultra-planckian collisions
• Classical ultrarelativistic bremsstrahlung in extra dimensions
• Scalar Bremsstrahlung in Gravity-Mediated Ultrarelativistic Collisions
• Piercing of domain walls: new mechanism of gravitational radiation
• A fully relativistic radial fall
• Pair Production of small Black Holes in Heterotic String Theories
• Branestrahlung: radiation in the particle-brane collision
• Vector Bremsstrahlung by Ultrarelativistic Collisions in Higher Dimensions
• Gravitational radiation in massless-particle collisions
• Indirect (source-free) integration method. II. Self-force consistent radial fall
• Free fall and self-force: an historical perspective
• Bremsstrahlung and black hole production from collisions of ultra-boosted particles at non-zero impact parameter
• Black Topologies Production in Extra Dimensions
• Smooth quartic K3 surfaces and Cremona transformations, II