Abstract
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.
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References
V.A. Rubakov, Superheavy Magnetic Monopoles and Proton Decay, JETP Lett. 33 (1981) 644 [INSPIRE].
C.G. Callan Jr., Disappearing Dyons, Phys. Rev. D 25 (1982) 2141 [INSPIRE].
C.G. Callan Jr., Dyon-Fermion Dynamics, Phys. Rev. D 26 (1982) 2058 [INSPIRE].
D. Zwanziger, Local Lagrangian quantum field theory of electric and magnetic charges, Phys. Rev. D 3 (1971) 880 [INSPIRE].
P.A.M. Dirac, Quantised singularities in the electromagnetic field,, Proc. Roy. Soc. Lond. A 133 (1931) 60 [INSPIRE].
G. ’t Hooft, Magnetic Monopoles in Unified Gauge Theories, Nucl. Phys. B 79 (1974) 276 [INSPIRE].
A.M. Polyakov, Particle Spectrum in Quantum Field Theory, JETP Lett. 20 (1974) 194 [INSPIRE].
J.S. Schwinger, Magnetic Charge and the Charge Quantization Condition, Phys. Rev. D 12 (1975) 3105 [INSPIRE].
D. Zwanziger, Quantum field theory of particles with both electric and magnetic charges, Phys. Rev. 176 (1968) 1489 [INSPIRE].
C. Csáki et al., Scattering amplitudes for monopoles: pairwise little group and pairwise helicity, JHEP 08 (2021) 029 [arXiv:2009.14213] [INSPIRE].
C. Csáki et al., Completing Multiparticle Representations of the Poincaré Group, Phys. Rev. Lett. 127 (2021) 041601 [arXiv:2010.13794] [INSPIRE].
C. Csáki et al., Dressed vs. pairwise states, and the geometric phase of monopoles and charges, JHEP 02 (2023) 211 [arXiv:2209.03369] [INSPIRE].
J.J. Thomson, On momentum in the electric field, Phil. Mag. 8 (1904) 331.
D. Zwanziger, Angular distributions and a selection rule in charge-pole reactions, Phys. Rev. D 6 (1972) 458 [INSPIRE].
C. Csáki, Y. Shirman, O. Telem and J. Terning, Pairwise Multiparticle States and the Monopole Unitarity Puzzle, Phys. Rev. Lett. 129 (2022) 181601 [INSPIRE].
V.A. Rubakov, Monopole Catalysis of Proton Decay, Rept. Prog. Phys. 51 (1988) 189 [INSPIRE].
J. Preskill, Magnetic monopoles, Ann. Rev. Nucl. Part. Sci. 34 (1984) 461 [INSPIRE].
C. Callan Jr., The Monopole Catalysis S Matrix, in the proceedings of the Workshop on Problems in Unification and Supergravity, La Jolla, U.S.A., 13–16 January 1983 (1983), p. 45–53 [https://doi.org/10.1063/1.34591] [INSPIRE].
M. van Beest et al., Monopoles, Scattering, and Generalized Symmetries, arXiv:2306.07318 [INSPIRE].
R. Kitano and R. Matsudo, Missing final state puzzle in the monopole-fermion scattering, Phys. Lett. B 832 (2022) 137271 [arXiv:2103.13639] [INSPIRE].
Y. Hamada, T. Kitahara and Y. Sato, Monopole-fermion scattering and varying Fock space, JHEP 11 (2022) 116 [arXiv:2208.01052] [INSPIRE].
A. Sen, Role of Conservation Laws in the Callan-Rubakov Process with Arbitrary Number of Generation of Fermions, Phys. Rev. Lett. 52 (1984) 1755 [INSPIRE].
N. Arkani-Hamed, T.-C. Huang and Y.-T. Huang, Scattering amplitudes for all masses and spins, JHEP 11 (2021) 070 [arXiv:1709.04891] [INSPIRE].
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This work is supported by the STFC under consolidated grant ST/P001246/1.
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Khoze, V.V. Scattering amplitudes of fermions on monopoles. J. High Energ. Phys. 2023, 214 (2023). https://doi.org/10.1007/JHEP11(2023)214
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DOI: https://doi.org/10.1007/JHEP11(2023)214