Dr. Alexey Boyarsky

Leiden University
Assistant professor

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The nuMSM

The Neutrino Minimal Standard Model (nuMSM or νMSM) is an extension of the Standard Model with three right-handed (or sterile) neutrinos. It aims to address within one consistent framework several problems beyond the Standard Model:
  • neutrino oscillations
  • baryon asymmetry of the Universe
  • the existence of dark matter

Standard Model extension

  • [1] ^ T. Asaka and M. Shaposhnikov The nuMSM, dark matter and baryon asymmetry of the universe , Phys. Lett. B620 :17-26 (2005) SPIRES
  • [2] ^ T. Asaka, S. Blanchet and M. Shaposhnikov The nuMSM, dark matter and neutrino masses , Phys. Lett. B631 :151-156 (2005) SPIRES
  • [3] ^ A. Boyarsky, O. Ruchayskiy and M. Shaposhnikov, Ann. Rev. Nucl. Part. Sci. 59 (2009) 191 [arXiv:0901.0011] . SPIRES

Latest publications on arXiv


Teaching Schedule 2013/2014

Topics in Theoretical Physics:
“Origins of the Standard Model” Course page


Leiden University

  • Artem Ivashko  ivashko@lorentz.leidenuniv.nl
  • Mikhail Goykhman  goykhman@lorentz.leidenuniv.nl

Content of the course:

  1. From relativistic Quantum Mechanics to Quantum Field Theory
  2. Weak and strong interactions
  3. Model of Fermi and model of Yukawa
  4. Internal inconsistencies of Fermi model. Ways to resolve them
  5. Predictions of massive vector bosons
  6. Non-Abelian gauge symmetries and their spontaneous breaking
  7. Higgs field and Higgs boson
  8. Electroweak theory
  9. Sketchy overview of Quantum Chromodynamics and modern views on strong interactions
  10. Main observational problems “beyond the Standard Model”
Suggested literature
  1. J. Horejsi “Introduction to Electroweak Unification: Standard Model from Tree Unitarity”
  2. “Gauge Theory of elementary particle physics” (any edition) by Ta-Pei Cheng and Ling-Fong Li
  3. As a general reference for Quantum Field theory the book by M.E. Peskin and D.V.Schroeder, “An Introduction to Quantum Field Theory” (any edition)
  4. Lecture 1
    Lecture 2
    Lecture 3
    Lecture 4
    Lecture 6
    Dirac 1928 (Dirac equation)
    Dirac 1927 (Quantization of E-M field)

Particle Physics and Early Universe Course page


Leiden University


This course will discuss how particle physics defines physics of the early universe, the subsequent cosmological scenario and the current state of the universe. Starting with basics of the Standard Model of particle physics (SM), we will see how the whole intricate structure of this theory exhibits itself in a hot and dense, quickly expanding universe. We will demonstrate that this allows to use astrophysical and cosmological observational data to check the SM. The next part will discuss the shortcomings of the Standard Model and different approaches to resolve them: top-down (theory-based) and bottom-up (phenomenology-based), as well as implications of this beyond the SM physics for the early universe (most importantly: the nature of dark matter, dark energy, mechanisms of baryogenesis and inflation).

Previous lectures:
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
  1. "The primordial density perturbation" by D.H.Lyth and A.R.Liddle, CUP ’09;
  2. "Introduction to the Theory of the Early Universe: Hot Big Bang Theory" by D.Gorbunov & V.Rubakov, World Scientific, 2010;
  3. arxiv:hep-ph/0004188 by J.Garcia-Bellido;
  4. "Principles of physical cosmology" by P.J.E. Peebles, Princeton University Press, 1993;
  5. "Physical foundations of cosmology" by V.Mukhanov, Cambridge University Press, 2005.


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