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Title: Sterile Neutrinos, Black Hole Vacuum and Holographic Principle

Abstract

We construct an effective field theory (EFT) model that describes matter field interactions with Schwarzschild mini-black-holes (SBH's), treated as a scalar field, $$B_0(x)$$. Fermion interactions with SBH's require a random complex spurion field, $$\theta_{ij}$$, which we interpret as the EFT description of "holographic information," which is correlated with the SBH as a composite system. We consider Hawking's virtual black hole vacuum (VBH) as a Higgs phase, $$\langle B_0 \rangle =V$$. Integrating sterile neutrino loops, the field $$\theta_{ij}$$ is promoted to a dynamical field, necessarily developing a tachyonic instability and acquiring a VEV of order the Planck scale. For $N$ sterile neutrinos this breaks the vacuum to $$SU(N)\times U(1)/SO(N)$$ with $N$ degenerate Majorana masses, and $(1/2)N(N+1)$ Nambu-Goldstone neutrino-Majorons. The model suggests many scalars fields, corresponding to all fermion bilinears, may exist bound nonperturbatively by gravity.

Authors:
 [1];  [2]
  1. Valencia U., IFIC
  2. Fermilab
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1569239
Report Number(s):
arXiv:1909.01956; IFIC/19-37; FERMILAB-PUB-19-457-T
oai:inspirehep.net:1752571
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Journal Article
Journal Name:
TBD
Additional Journal Information:
Journal Name: TBD
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Barenboim, Gabriela, and Hill, Christopher T. Sterile Neutrinos, Black Hole Vacuum and Holographic Principle. United States: N. p., 2019. Web.
Barenboim, Gabriela, & Hill, Christopher T. Sterile Neutrinos, Black Hole Vacuum and Holographic Principle. United States.
Barenboim, Gabriela, and Hill, Christopher T. Wed . "Sterile Neutrinos, Black Hole Vacuum and Holographic Principle". United States. https://www.osti.gov/servlets/purl/1569239.
@article{osti_1569239,
title = {Sterile Neutrinos, Black Hole Vacuum and Holographic Principle},
author = {Barenboim, Gabriela and Hill, Christopher T.},
abstractNote = {We construct an effective field theory (EFT) model that describes matter field interactions with Schwarzschild mini-black-holes (SBH's), treated as a scalar field, $B_0(x)$. Fermion interactions with SBH's require a random complex spurion field, $\theta_{ij}$, which we interpret as the EFT description of "holographic information," which is correlated with the SBH as a composite system. We consider Hawking's virtual black hole vacuum (VBH) as a Higgs phase, $\langle B_0 \rangle =V$. Integrating sterile neutrino loops, the field $\theta_{ij}$ is promoted to a dynamical field, necessarily developing a tachyonic instability and acquiring a VEV of order the Planck scale. For $N$ sterile neutrinos this breaks the vacuum to $SU(N)\times U(1)/SO(N)$ with $N$ degenerate Majorana masses, and $(1/2)N(N+1)$ Nambu-Goldstone neutrino-Majorons. The model suggests many scalars fields, corresponding to all fermion bilinears, may exist bound nonperturbatively by gravity.},
doi = {},
journal = {TBD},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {9}
}