High energy scattering in perturbative quantum gravity at next-to-leading power
High energy scattering in perturbative quantum gravity at next-to-leading power
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DOI：
10.1103/physrevd.103.064036
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发表时间：
2013-08
期刊：
影响因子：
--
通讯作者：
R. Akhoury;R. Saotome;G. Sterman
中科院分区：
文献类型：
--
作者：
R. Akhoury;R. Saotome;G. Sterman
我们考虑不等质量标量粒子通过引力子交换的相对论散射在小角度的高能量制度和计算的散射振幅的下一个领先的程函修正，包括引力效应的相同的顺序。我们发现，只有一组这些功率校正（海鸥和引力子回路的贡献）是一致的，一旦所有可能的引力子交换的影响参数空间中的校正相位的幂。另一个集合（由传播子展开产生）从第二个循环顺序开始。这两个领先的功率校正被抑制的动量转移的比的一个单一的权力，在重粒子的静止框架中的轻粒子的能量，独立于重粒子的质量。对于足够大的重粒子质量，鞍点的影响参数修改相比，领先的顺序由重粒子的质量，独立于轻粒子的能量确定的史瓦西半径的倍数。
We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime and calculate the scattering amplitude up to the next-to-leading eikonal correction, including gravitational effects of the same order. We find that only one set of these power corrections (the seagull and graviton loop contributions) are consistent with the exponentiation of a corrected phase in impact parameter space, once all possible graviton exchanges are summed. The other set (arising from propagator expansions) starts at the second loop order. Both of these leading power corrections are suppressed by a single power of the ratio of momentum transfer to the energy of the light particle in the rest frame of the heavy particle, independent of the heavy particle mass. For large enough heavy-particle mass, the saddle point for the impact parameter is modified compared to the leading order by a multiple of the Schwarzschild radius determined by the mass of the heavy particle, independent of the energy of the light particle.