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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) ; Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) ; European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant ; European Research Council under ERC Grant NuMass ; Wolfson Foundation ; Royal Society ; European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant: 690575 ; European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant: 674896 ; European Research Council under ERC Grant NuMass: FP7-IDEAS-ERC ERC-CG 617143 ; Neutrino trident scattering is a rare Standard Model process where a charged-lepton pair is produced in neutrino-nucleus scattering. To date, only the dimuon final-state has been observed, with around 100 total events, while the other channels are as yet unexplored. In this work, we compute the trident production cross section by performing a complete four-body phase space calculation for different hadronic targets. This provides a correct estimate both of the coherent and the diffractive contributions to these cross sections, but also allows us to address certain inconsistencies in the literature related to the use of the Equivalent Photon Approximation in this context. We show that this approximation can give a reasonable estimate only for the production of dimuon final-states in coherent scattering, being inadmissible for all other cases considered. We provide estimates of the number and distribution of trident events at several current and future near detector facilities subjected to intense neutrino beams from accelerators: five liquid-argon detectors (SBND, BooNE, ICARUS, DUNE and STORM), the iron detector of T2K (INGRID) and three detectors made of composite material (MINOS, NOA and MINERA). We find that for many experiments, trident measurements are an attainable goal and a valuable addition to their near detector physics programme.

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) ; Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) ; European Union ; European Research Council ; Wolfson Foundation ; Royal Society ; U.S. Department of Energy ; European Union: 690575 ; European Union: 674896 ; European Research Council: FP7-IDEAS-ERC ERC-CG 617143 ; U.S. Department of Energy: DE-AC02-07CH11359 ; Novel leptophilic neutral currents can be tested at upcoming neutrino oscillation experiments using two complementary processes, neutrino trident production and neutrino-electron (nu - e) elastic scattering. Considering generic anomaly-free U(1) extensions of the Standard Model, we discuss the characteristics of nu - e scattering as well as e(+)e(-) and mu(+)mu(-) trident production at the DUNE near detector in the presence of such beyond the Standard Model scenarios. We then determine the sensitivity of DUNE in constraining the well-known L-e - L-mu and L-mu - L-tau models. We conclude that DUNE will be able to probe these leptophilic models with unprecedented sensitivity, covering unproved explanations of the (g-2)(mu) discrepancy.