publication . Preprint . 2016

Neutrino-Pair Exchange Long-Range Force Between Aggregate Matter

Segarra, A.;
Open Access English
  • Published: 16 Jun 2016
Abstract
We study the long-range force arising between two neutral---of electric charge---aggregates of matter due to a neutrino-pair exchange, in the limit of zero neutrino mass. The conceptual basis for the construction of the effective potential comes from the coherent scattering amplitude at low values of t. This amplitude is obtained using the methodology of an unsubtracted dispersion relation in t at threshold for s, where (s, t) are the Lorentz invariant scattering variables. The ultraviolet behavior is irrelevant for the long-range force. In turn, the absorptive part in the t-dependence is given by the corresponding unitarity relation. We show that the potential ...
Subjects
free text keywords: High Energy Physics - Phenomenology
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4. Low-Energy Contact Interaction 19 4.1. E ective charged current couplings . . . . . . . . . . . . . . . . . . . . . . 19 4.2. E ective neutral current couplings . . . . . . . . . . . . . . . . . . . . . . . 21 4.3. Low-energy e ective Lagrangian for matter particles . . . . . . . . . . . . . 22

5. Neutrino-Matter Scattering 25 5.1. Electron neutrino . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 5.2. Muon and tau neutrino . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 5.3. The weak avor charge of aggregate matter . . . . . . . . . . . . . . . . . . 28 B. Useful Relations 43 B.1. Fierz Identity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 B.2. Fourier Transforms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 B.2.1. Yukawa/Coulomb propagator . . . . . . . . . . . . . . . . . . . . . 44 B.2.2. A spherical wave . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 B.3. Integrals for the absorptive part . . . . . . . . . . . . . . . . . . . . . . . . 46 B.4. Integral for the interaction potential . . . . . . . . . . . . . . . . . . . . . . 48

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