Transplanckian bremsstrahlung and black hole production

Details Transplanckian bremsstrahlung and black hole production Transplanckian bremsstrahlung and black hole production

2009-08-05

arxiv.org/abs/0908.0675v3

Phys.Lett.B683:331-334,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, revtex 4. The discussion section is changed to better clarify the region of validity of our calculation. The physical

Scientific paper

10.1016/j.physletb.2009.12.042

Classical gravitational bremsstrahlung in particle collisions at transplanckian energies is studied in ${\mathcal M}_4\times {\mathcal T}^d$. The radiation efficiency $\epsilon\equiv E_{\rm rad}/E_{\rm initial}$ is computed in terms of the Schwarzschild radius $r_S(\sqrt{s})$, the impact parameter $b$ and the Lorentz factor $\gamma_{\rm cm}$ and found to be $\epsilon=C_d (r_S/b)^{3d+3} \gamma_{\rm cm}^{2d+1}$, larger than previous estimates by many powers of $\gamma_{\rm cm}\gg 1$. The result is reliable for impact parameters in the overlap of $r_S\lambda_C$, with $b_c$ marking (for $d\neq 0$) the loss of the notion of classical trajectories and $\lambda_C\equiv \hbar/mc$ 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.

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