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The triplet photoproduction on a free electron as a possible way to search for a dark photon

2017/11/06 by G. I. Gakh, Gakh, G. I., M. I. Konchatnij +3
Computer Science · Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Information and Cryptography #Quantum Mechanics and Applications #hep-ph

paper · pdf · doi:10.48550/arxiv.1711.01770

24 pages, 7 figures

arxiv created 2017/11/06 · openalex publication_date 2017/11/06 · arxiv updated 2017/11/07 · openalex created_date 2017/11/17 · openalex updated_date 2026/07/28

Abstract

The process of the triplet production on a free electron, γe-→ e+e-e-, has been investigated as a reaction where a dark photon, A', is produced as a virtual state with subsequent decay into a e+e--pair. This effect arises due to the so-called kinetic mixing and is characterized by the small parameter ε describing the coupling strength relative to the electric charge e. The search of A' in this process has advantage because the background to the A' signal is pure QED. This QED background is described by eight Feynman diagrams taking into account the identity of final electrons. As concern A', we leave its contribution in Compton-like diagrams only since, in this case, the virtual dark photon is time-like and its propagator has the Breit-Wigner form. So, near the resonance A' can manifest itself. The contribution of A' in Borsellino diagrams is negligible since, in this case, the virtual dark photon is space-like, the A' propagator does not peak and effect is proportional at least to ε2. We calculate the distributions over the invariant masses of the both produced e+e- pairs and search for the kinematical region where the Compton-like diagrams contribution is not suppressed as compared with the Borsellino one. We estimate what value of the parameter ε, as a function of the dark photon mass, can be obtained at given number of the measured events.

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