Neutrino interactions with a weak slowly varying electromagnetic field

Abstract

We derive the effective action for processes involving two neutrinos and two photons at energies much below the electron mass. We discuss several applications in which one or both photons are replaced by external fields. In particular, Cherenkov radiation and neutrino pair production in weak external fields are investigated for massive Dirac neutrinos.

Axial vector current in an electromagnetic field and low-energy neutrino-photon interactions

“…As a cross-check, one can indeed prove [21] that the first term can immediately be obtained from the order 1/m 2 term of the famous triangle graph. As a side remark, it should be mentioned that the axial vector anomaly is not present in our result, since we computed the 1/m 2 -expansion of j µ 5 , whereas the anomaly is mass independent.…”

From effective actions to actual effects

“…Incidentally, the first term can also be obtained from the famous triangle diagram [23]. Upon insertion of Eq.…”

“…As as second example, let us considerνν pair emission in varying electromagnetic fields [23]. The pure QED-analogue of e + e − pair emission in such fields, though it is textbook knowledge, remains phenomenologically unimportant because of the "heavy" mass of the electron.…”

Durability Properties of Piezoelectric Stack Actuator

“…For instance, an ALP-induced rotation exhibits a simple B 2 dependence and the nonperturbative nature of MCP-induced rotation results in a B 2/3 law, cf equations (4), (7).…”

“…It is amusing to observe that it is neutrino-pair production which could be the largest Standard-Model contribution to an optical rotation measurement in a strong electromagnetic field[7], but, of course, it is similarly irrelevant for current and near-future experiments.…”