On the short-range behavior of neutrino forces beyond the Standard Model: from 1/r to 1/r, 1/r, and 1/r
Dec 6, 2021
17 pages
Published in:
- JHEP 02 (2022) 008,
- JHEP 02 (2022) 008
- Published: Feb 1, 2022
e-Print:
- 2112.03060 [hep-ph]
View in:
Citations per year
Abstract: (Springer)
The exchange of a pair of neutrinos between two objects, seperated by a distance r, leads to a long-range effective potential proportional to 1/r, assuming massless neutrinos and four-fermion contact interactions. In this paper, we investigate how this known form of neutrino-mediated potentials might be altered if the distance r is sufficiently short, corresponding to a sufficiently large momentum transfer which could invalidate the contact interactions. We consider two possible scenarios to open up the contact interactions by introducing a t-channel or an s-channel mediator. We derive a general formula that is valid to describe the potential in all regimes as long as the external particles remain non-relativistic. In both scenarios, the potential decreases as 1/r in the long-range limit as expected. In the short-range limit, the t-channel potential exhibits the Coulomb-like behavior (i.e. proportional to 1/r), while the s-channel potential exhibits 1/r and 1/r behaviors.Note:
- 17 pages, 4 figures, more discussions and references added, version accepted by JHEP
- Beyond Standard Model
- Neutrino Physics
- neutrino: massless
- contact interaction
- short-range
- long-range
- nonrelativistic
- mediation
- effective potential
- momentum transfer
References(39)
Figures(4)
- [2]
- [3]
- [4]
- [5]
- [7]
- [9]
- [10]
- [13]
- [14]
- [17]
- [18]
- [19]
- [22]
- [25]