We discuss effective interactions among brane matter induced by modifications of higher-dimensional Einstein gravity through the replacement of Einstein-Hilbert term with a generic function f ( R, RA B RA B, RA B C D RA B C D ) of the curvature tensors. We determine gravi-particle spectrum of the theory, and perform a comparative analysis of its predictions with those of the Einstein gravity within Arkani-Hamed-Dvali-Dimopoulos (ADD) setup. We find that this general higher-curvature quantum gravity theory contributes to scatterings among both massive and massless brane matter (in contrast to much simpler generalization of the Einstein gravity, f ( R ), which influences only the massive matter), and therefore, can be probed via various scattering processes at present and future colliders and directly confronted with the ADD expectations. In addition to collision processes which proceed with tree-level gravi-particle exchange, effective interactions among brane matter are found to exhibit a strong sensitivity to higher-curvature gravity via the gravi-particle loops. Furthermore, particle collisions with missing energy in their final states are found to be sensitive to additional gravi-particles not found in Einstein gravity. In general, road to a correct description of quantum gravity above Fermi energies depends crucially on if collider and other search methods end up with a negative or positive answer for the presence of higher-curvature gravitational interactions.
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机译:我们讨论了通过用曲率张量的泛型函数f(R,RA B RA B,RA B C D RA B C D)替换爱因斯坦-希尔伯特项来修正高维爱因斯坦引力引起的麸质物质之间的有效相互作用。我们确定了该理论的重粒子谱,并在Arkani-Hamed-Dvali-Dimopoulos(ADD)装置中与爱因斯坦引力的预测进行了比较分析。我们发现,这种一般的高曲率量子引力理论有助于质量和无质量麸质物质之间的散射(与爱因斯坦引力f(R)的更简单的概括相反,后者仅影响质量物质),因此可以通过当前和将来的对撞机的各种散射过程进行探测,并直接面对ADD的期望。除了进行树级重力粒子交换所进行的碰撞过程外,发现麸质物质之间的有效相互作用还通过重力粒子环表现出了对较高曲率重力的强烈敏感性。此外,发现在最终状态下能量丢失的粒子碰撞对爱因斯坦引力中未发现的其他重力粒子很敏感。通常,对费米能量之上的量子引力进行正确描述的道路,关键取决于对撞机和其他搜索方法对于存在较高曲率的引力相互作用是否最终给出否定或肯定的答案。
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