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LSZ-reduction, resonances and non-diagonal propagators: fermions and scalars

Lewandowski, A. (2018). LSZ-reduction, resonances and non-diagonal propagators: fermions and scalars. Nuclear Physics B, 937, 394-421. doi:10.1016/j.nuclphysb.2018.10.020.

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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Phenomenology, hep-ph
Abstract: It is well-known that the determination of indirect CP-violation in models with highly mixed and unstable gauge-singlet neutrinos requires a careful analysis of the matrix of propagators in the vicinity of its poles. In this paper, in a system with an arbitrary number of unstable mixed Majorana or Dirac particles, a simple prescription is given for obtaining, roughly speaking, "square-rooted residues" of propagators, i.e. for obtaining the matrices $\zeta^{a}_{\ b}$ that (in a special case of stable particles) together with the ordinary $u$ and $v$ spinors convert the amputated Green's functions in the $\overline{{\rm MS}}$ scheme (or any other scheme for that matter) into the $S$-matrix elements. Corresponding prescription for the scalar case is provided as well.

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Dates: 2017-10-192018
Publication Status: Published in print
Pages: 16 pages, 1 figure
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Identifiers: arXiv: 1710.07165
URI: http://arxiv.org/abs/1710.07165
DOI: 10.1016/j.nuclphysb.2018.10.020
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 937 Sequence Number: - Start / End Page: 394 - 421 Identifier: -