Leptogenesis

Last updated
Unsolved problem in physics:

Why does the observable universe have more matter than antimatter?

Contents

In physical cosmology, leptogenesis is the generic term for hypothetical physical processes that produced an asymmetry between leptons and antileptons in the very early universe, resulting in the present-day dominance of leptons over antileptons. In the currently accepted Standard Model, lepton number is nearly conserved at temperatures below the TeV scale, but tunneling processes can change this number; at higher temperature it may change through interactions with sphalerons, particle-like entities. [1] In both cases, the process involved is related to the weak nuclear force, and is an example of chiral anomaly.

Such processes could have hypothetically created leptons in the early universe. In these processes baryon number is also non-conserved, and thus baryons should have been created along with leptons. Such non-conservation of baryon number is indeed assumed to have happened in the early universe, and is known as baryogenesis. However, in some theoretical models, it is suggested that leptogenesis also occurred prior to baryogenesis; thus the term leptogenesis is often used to imply the non-conservation of leptons without corresponding non-conservation of baryons. In the Standard Model, the difference between the lepton number and the baryon number is precisely conserved, so that leptogenesis without baryogenesis is impossible. Thus such leptogenesis implies extensions to the Standard Model. [1]

The lepton and baryon asymmetries affect the much better understood Big Bang nucleosynthesis at later times, during which light atomic nuclei began to form. Successful synthesis of the light elements requires that there be an imbalance in the number of baryons and antibaryons to one part in a billion when the universe is a few minutes old. [2] An asymmetry in the number of leptons and antileptons is not mandatory for Big Bang nucleosynthesis. However, charge conservation suggests that any asymmetry in the charged leptons and antileptons (electrons, muons and tau particles) should be of the same order of magnitude as the baryon asymmetry. [3] Observations of the primordial helium-4 abundance place an upper limit on any lepton asymmetry residing in the neutrino sector, which is not very stringent. [2]

Leptogenesis theories employ sub-disciplines of physics such as quantum field theory, and statistical physics, to describe such possible mechanisms. Baryogenesis, the generation of a baryon–antibaryon asymmetry, and leptogenesis can be connected by processes that convert baryon number and lepton number into each other. The (non-perturbative) quantum Adler–Bell–Jackiw anomaly can result in sphalerons, which can convert leptons into baryons and vice versa. [4] Thus, the Standard Model is in principle able to provide a mechanism to create baryons and leptons.

A simple modification of the Standard Model that is instead able to realize the program of Sakharov is the one suggested by M. Fukugita and T. Yanagida. [5] The Standard Model is extended by adding right-handed neutrinos, permitting implementation of the see-saw mechanism and providing the neutrinos with mass. At the same time, the extended model is able to spontaneously generate leptons from the decays of right-handed neutrinos. Finally, the sphalerons are able to convert the spontaneously generated lepton asymmetry into the observed baryonic asymmetry. Due to its popularity, this entire process is sometimes referred to simply as leptogenesis. [6]

See also

Related Research Articles

<span class="mw-page-title-main">Physical cosmology</span> Branch of cosmology which studies mathematical models of the universe

Physical cosmology is a branch of cosmology concerned with the study of cosmological models. A cosmological model, or simply cosmology, provides a description of the largest-scale structures and dynamics of the universe and allows study of fundamental questions about its origin, structure, evolution, and ultimate fate. Cosmology as a science originated with the Copernican principle, which implies that celestial bodies obey identical physical laws to those on Earth, and Newtonian mechanics, which first allowed those physical laws to be understood.

<span class="mw-page-title-main">Proton decay</span> Hypothetical particle decay process of a proton

In particle physics, proton decay is a hypothetical form of particle decay in which the proton decays into lighter subatomic particles, such as a neutral pion and a positron. The proton decay hypothesis was first formulated by Andrei Sakharov in 1967. Despite significant experimental effort, proton decay has never been observed. If it does decay via a positron, the proton's half-life is constrained to be at least 1.67×1034 years.

In physical cosmology, Big Bang nucleosynthesis is the production of nuclei other than those of the lightest isotope of hydrogen during the early phases of the universe. This type of nucleosynthesis is thought by most cosmologists to have occurred from 10 seconds to 20 minutes after the Big Bang. It is thought to be responsible for the formation of most of the universe's helium, along with small fractions of the hydrogen isotope deuterium, the helium isotope helium-3 (3He), and a very small fraction of the lithium isotope lithium-7 (7Li). In addition to these stable nuclei, two unstable or radioactive isotopes were produced: the heavy hydrogen isotope tritium and the beryllium isotope beryllium-7 (7Be). These unstable isotopes later decayed into 3He and 7Li, respectively, as above.

In particle physics, the baryon number is a strictly conserved additive quantum number of a system. It is defined as

In physical cosmology, baryogenesis is the physical process that is hypothesized to have taken place during the early universe to produce baryonic asymmetry, i.e. the imbalance of matter (baryons) and antimatter (antibaryons) in the observed universe.

In particle physics, lepton number is a conserved quantum number representing the difference between the number of leptons and the number of antileptons in an elementary particle reaction. Lepton number is an additive quantum number, so its sum is preserved in interactions. The lepton number is defined by

<span class="mw-page-title-main">Sphaleron</span> Solution to field equations in Standard Model particle physics

A sphaleron is a static (time-independent) solution to the electroweak field equations of the Standard Model of particle physics, and is involved in certain hypothetical processes that violate baryon and lepton numbers. Such processes cannot be represented by perturbative methods such as Feynman diagrams, and are therefore called non-perturbative. Geometrically, a sphaleron is a saddle point of the electroweak potential.

<span class="mw-page-title-main">Baryon asymmetry</span> Imbalance of matter and antimatter in the observable universe

In physical cosmology, the baryon asymmetry problem, also known as the matter asymmetry problem or the matter–antimatter asymmetry problem, is the observed imbalance in baryonic matter and antibaryonic matter in the observable universe. Neither the standard model of particle physics nor the theory of general relativity provides a known explanation for why this should be so, and it is a natural assumption that the universe is neutral with all conserved charges. The Big Bang should have produced equal amounts of matter and antimatter. Since this does not seem to have been the case, it is likely some physical laws must have acted differently or did not exist for matter and/or antimatter. Several competing hypotheses exist to explain the imbalance of matter and antimatter that resulted in baryogenesis. However, there is as of yet no consensus theory to explain the phenomenon, which has been described as "one of the great mysteries in physics".

The cosmic neutrino background is the universe's background particle radiation composed of neutrinos. They are sometimes known as relic neutrinos.

<span class="mw-page-title-main">Physics beyond the Standard Model</span> Theories trying to extend known physics

Physics beyond the Standard Model (BSM) refers to the theoretical developments needed to explain the deficiencies of the Standard Model, such as the inability to explain the fundamental parameters of the standard model, the strong CP problem, neutrino oscillations, matter–antimatter asymmetry, and the nature of dark matter and dark energy. Another problem lies within the mathematical framework of the Standard Model itself: the Standard Model is inconsistent with that of general relativity, and one or both theories break down under certain conditions, such as spacetime singularities like the Big Bang and black hole event horizons.

In physical cosmology, the electroweak epoch was the period in the evolution of the early universe when the temperature of the universe had fallen enough that the strong force separated from the electroweak interaction, but was high enough for electromagnetism and the weak interaction to remain merged into a single electroweak interaction above the critical temperature for electroweak symmetry breaking. Some cosmologists place the electroweak epoch at the start of the inflationary epoch, approximately 10−36 seconds after the Big Bang. Others place it at approximately 10−32 seconds after the Big Bang when the potential energy of the inflaton field that had driven the inflation of the universe during the inflationary epoch was released, filling the universe with a dense, hot quark–gluon plasma. Particle interactions in this phase were energetic enough to create large numbers of exotic particles, including W and Z bosons and Higgs bosons. As the universe expanded and cooled, interactions became less energetic and when the universe was about 10−12 seconds old, W and Z bosons ceased to be created at observable rates. The remaining W and Z bosons decayed quickly, and the weak interaction became a short-range force in the following quark epoch.

A weakless universe is a hypothetical universe that contains no weak interactions, but is otherwise very similar to our own universe.

<span class="mw-page-title-main">Matter</span> Something that has mass and volume

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, matter generally includes atoms and anything made up of them, and any particles that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena or waves such as light or heat. Matter exists in various states. These include classical everyday phases such as solid, liquid, and gas – for example water exists as ice, liquid water, and gaseous steam – but other states are possible, including plasma, Bose–Einstein condensates, fermionic condensates, and quark–gluon plasma.

An electroweak star is a hypothetical type of exotic star, whereby the gravitational collapse of the star is prevented by radiation pressure resulting from electroweak burning, that is, the energy released by conversion of quarks to leptons through the electroweak force. This process occurs in a volume at the star's core approximately the size of an apple, containing about two Earth masses and reaching temperatures on the order of 1015 K.

The Affleck–Dine mechanism is a postulated mechanism for explaining baryogenesis during the primordial Universe immediately following the Big Bang. Thus, the AD mechanism may explain the asymmetry between matter and antimatter in the current Universe. It was proposed in 1985 by Ian Affleck and Michael Dine of Princeton University.

<span class="mw-page-title-main">Vadim Kuzmin (physicist)</span>

Vadim Alekseyevich Kuzmin was a Russian theoretical physicist.

The neutrino minimal standard model is an extension of the Standard Model of particle physics, by the addition of three right-handed neutrinos with masses smaller than the electroweak scale. Introduced by Takehiko Asaka and Mikhail Shaposhnikov in 2005, it has provided a highly constrained model for many topics in physics and cosmology, such as baryogenesis and neutrino oscillations.

Gary Steigman was an American astrophysicist and astronomer, known for his research on primordial nucleosynthesis, particle physics in the first few minutes of the Big Bang, and relic particle abundance.

<span class="mw-page-title-main">Tsutomu Yanagida</span> Japanese physicist

Tsutomu Yanagida is a Japanese physicist who first proposed the seesaw mechanism in 1979 and developed the model of leptogenesis. The name of the seesaw mechanism was given by him in a Tokyo conference in 1981. In 1994, he predicted, together with M. Fukugita, the nonzero cosmological constant Λ = (3 ± 1 meV)4 four years prior to the observation in order to resolve the age discrepancy between the Universe and some old stars.

A cosmological phase transition is a physical process, whereby the overall state of matter changes together across the whole universe. The success of the Big Bang model led researchers to conjecture possible cosmological phase transitions taking place in the very early universe, at a time when it was much hotter and denser than today.

References

  1. 1 2 Kuzmin, V. A., Rubakov, V. A., & Shaposhnikov, M. E. (1985). On anomalous electroweak baryon-number non-conservation in the early universe. Physics Letters B, 155(1-2), 36-42.
  2. 1 2 G. Steigman (2007). "Primordial Nucleosynthesis in the Precision Cosmology Era". Annual Review of Nuclear and Particle Science . 57 (1): 463–491. arXiv: 0712.1100 . Bibcode:2007ARNPS..57..463S. doi: 10.1146/annurev.nucl.56.080805.140437 . S2CID   118473571.
  3. Simha, Vimal; Steigman, Gary (2008). "Constraining the universal lepton asymmetry". Journal of Cosmology and Astroparticle Physics. 2008 (8): 011. arXiv: 0806.0179 . Bibcode:2008JCAP...08..011S. doi:10.1088/1475-7516/2008/08/011. ISSN   1475-7516. S2CID   18759540.
  4. Barbieri, Riccardo; Creminelli, Paolo; Strumia, Alessandro; Tetradis, Nikolaos (2000). "Baryogenesis through leptogenesis". Nuclear Physics B. 575 (1–2): 61–77. arXiv: hep-ph/9911315 . Bibcode:2000NuPhB.575...61B. doi:10.1016/s0550-3213(00)00011-0. S2CID   1413779.
  5. M. Fukugita, T. Yanagida (1986). "Baryogenesis Without Grand Unification". Physics Letters B . 174 (1): 45. Bibcode:1986PhLB..174...45F. doi:10.1016/0370-2693(86)91126-3.
  6. Davidson, Sacha; Nardi, Enrico; Nir, Yosef (2008-06-09). "Leptogenesis". Physics Reports. 466 (4–5): 105–177. arXiv: 0802.2962 . Bibcode:2008PhR...466..105D. doi:10.1016/j.physrep.2008.06.002. ISSN   0370-1573.

Further reading