Illana J I, Masip M, Meloni D
CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, 18071 Granada, Spain.
Phys Rev Lett. 2004 Oct 8;93(15):151102. doi: 10.1103/PhysRevLett.93.151102.
The existence of extra dimensions allows the possibility that the fundamental scale of gravity is at the TeV. If that is the case, gravity could dominate the interactions of ultrahigh energy cosmic rays. In particular, the production of microscopic black holes by cosmogenic neutrinos has been estimated in a number of papers. We consider here gravity-mediated interactions at larger distances, where they can be calculated in the eikonal approximation. We show that for the expected flux of cosmogenic neutrinos these elastic processes give a stronger signal than black hole production in neutrino telescopes. Taking the bounds on the higher-dimensional Planck mass M(D) (D=4 + n) from current air shower experiments, for n=2(6) elastic collisions could produce up to 118 (34) events per year at IceCube. On the other hand, the absence of any signal would imply a bound of M(D) > or approximately 5 TeV.
额外维度的存在使得引力的基本尺度处于 TeV 成为可能。如果是这种情况，引力可能在超高能宇宙射线的相互作用中起主导作用。特别是，许多论文已经对宇宙成因中微子产生微观黑洞的情况进行了估算。我们在此考虑在较大距离上由引力介导的相互作用，在这种情况下可以用程函近似来计算。我们表明，对于预期的宇宙成因中微子通量，这些弹性过程在中微子望远镜中给出的信号比黑洞产生的信号更强。根据当前空气簇射实验对高维普朗克质量 M(D)（D = 4 + n）的限制，对于 n = 2（6），在冰立方探测器中弹性碰撞每年可能产生多达 118（34）个事件。另一方面，没有任何信号将意味着 M(D) > 或约为 5 TeV 的限制。
