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Scattering amplitudes of fermions on monopoles

Khoze, Valentin V.

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We consider scattering processes involving massless fermions and ’t Hooft-Polyakov magnetic monopoles in a minimal SU(2) model and in the Grand Unified SU(5) theory. We construct expressions for on-shell amplitudes for these processes in the J = 0 partial wave using the spinor helicity basis consisting of single-particle and pairwise helicities. These processes are unsuppressed and are relevant for the monopole catalysis of proton decay. The amplitudes for the minimal processes involving a single fermion scattering on a monopole in the initial state and half-fermion solitons in the final state are presented for the first time and are used to obtain the amplitudes for processes involving more fermions in the initial state and integer fermion numbers in the final state. A number of such anomalous and non-anomalous processes, along with their amplitude expressions, are written down for the SU(5) GUT model.


Khoze, V. V. (2023). Scattering amplitudes of fermions on monopoles. Journal of High Energy Physics, 2023(11), Article 214.

Journal Article Type Article
Acceptance Date Nov 23, 2023
Online Publication Date Nov 29, 2023
Publication Date 2023-11
Deposit Date Jan 9, 2024
Publicly Available Date Jan 10, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2023
Issue 11
Article Number 214
Public URL


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