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arXiv 1612.04331hep-ph
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N=1超引力中大质量引力子的螺旋度振幅

Helicity Amplitudes for massive gravitinos in N=1 Supergravity

J. Lorenzo Diaz-Cruz, Bryan O. Larios

摘要:

我们开发了在N=1 SUGRA中构造大质量引力子螺旋度振幅所需的正式工具。我们首先考虑自旋为3/2的大质量粒子的螺旋度态,这涉及到Rarita-Schwinger方程的解。这些解是用螺旋度符号表示的,然后用来导出N=1超引力中引力子与物质和规范超多重态的相互作用。还根据Goldstino-gravitino等效定理讨论了Goldstino-gravitino的相应相互作用。最后,为了评价我们的方法的能力,我们评估了衰变宽度chi_0 -> γG,以及e^+ e- -> GG的截面。

英文摘要:

We develop the formal tools needed to construct helicity amplitudes for massive gravitino in N=1 SUGRA. We start by considering the helicity states for massive spin-3/2 particles, which involves the solutions of Rarita-Schwinger equation. These solutions are written in terms of the helicity bra-ket notation and are used then to derive the interactions of gravitino with matter and gauge supermultiplets within N=1 Supergravity. The corresponding interactions of goldstinos are discussed too, relying on the goldstino-gravitino equivalence theorem. Finally to appreciate the power of our methods we evaluate the decay width chi_0 -> γG, as well as the cross sections for e^+ e- -> GG.

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