Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2020)162
Keywords
Beyond Standard Model; Effective Field Theories; Neutrino Physics
Categories
Funding
- National Key Research and Development Program of China [NSFC-11975130, NSFC-11575089]
- CAS Center for Excellence in Particle Physics (CCEPP) [2017YFA0402200]
- [MOST 106-2112-M-002-003-MY3]
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We present a complete and independent set of dimension-7 operators in the low energy effective field theory (LEFT) where the dynamical degrees of freedom are the standard model five quarks and all of the neutral and charged leptons. All operators are non-Hermitian and are classified according to their baryon (B) and lepton (L) numbers violated. Including Hermitian-conjugated operators, there are in total 3168, 750, 588, 712 operators with (B, L) = (0, 0), (0, +/- 2), (+/- 1, -/+ 1), (+/- 1, +/- 1) respectively. We perform the tree-level matching with the standard model effective field theory (SMEFT) up to dimension-7 (dim-7) operators in both LEFT and SMEFT. As a phenomenological application we study the effective neutrino-photon interactions due to dim-7 lepton number violating operators that are induced and much enhanced at one loop from dim-6 operators that in turn are matched from dim-7 SMEFT operators. We compare various neutrino-photon scattering cross sections with their counterparts in the standard model and highlight the new features. Finally, we illustrate how these effective interactions could arise from ultraviolet completion.
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