Mathematical formulation of the Standard Model (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Mathematical formulation of the Standard Model" in English language version.

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6arxiv.org

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2archive.today

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archive.today

Overbye, Dennis (11 September 2023). "Don't Expect a 'Theory of Everything' to Explain It All - Not even the most advanced physics can reveal everything we want to know about the history and future of the cosmos, or about ourselves". The New York Times. Archived from the original on 11 September 2023. Retrieved 11 September 2023.
Overbye, Dennis (11 September 2023). "Don't Expect a 'Theory of Everything' to Explain It All - Not even the most advanced physics can reveal everything we want to know about the history and future of the cosmos, or about ourselves". The New York Times. Archived from the original on 11 September 2023. Retrieved 11 September 2023.

arxiv.org

Yao, W.-M.; et al. (Particle Data Group) (2006). "Review of Particle Physics: Neutrino mass, mixing, and flavor change" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
W.-M. Yao et al. (Particle Data Group) (2006). "Review of Particle Physics: Quarks" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
Martin, Jérôme (July 2012). "Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)". Comptes Rendus Physique. 13 (6–7): 566–665. arXiv:1205.3365. Bibcode:2012CRPhy..13..566M. doi:10.1016/j.crhy.2012.04.008. S2CID 119272967.
The baryon number in SM is only conserved at the classical level. There are non-perturbative effects that do not conserve baryon number: Baryon Number Violation, report prepared for the Community Planning Study – Snowmass 2013
The lepton number in SM is only conserved at the classical level. There are non-perturbative effects that do not conserve lepton number: see Fuentes-Martín, J.; Portolés, J.; Ruiz-Femenía, P. (January 2015). "Instanton-mediated baryon number violation in non-universal gauge extended models". Journal of High Energy Physics. 2015 (1): 134. arXiv:1411.2471. Bibcode:2015JHEP...01..134F. doi:10.1007/JHEP01(2015)134. ISSN 1029-8479. or Baryon and lepton numbers in particle physics beyond the standard model
The violation of lepton number and baryon number cancel each other out and in effect B − L is an exact symmetry of the Standard Model. Extension of the Standard Model with massive Majorana neutrinos breaks B-L symmetry, but extension with massive Dirac neutrinos does not: see Ma, Ernest; Srivastava, Rahul (2015-08-30). "Dirac or inverse seesaw neutrino masses from gauged B–L symmetry". Modern Physics Letters A. 30 (26): 1530020. arXiv:1504.00111. Bibcode:2015MPLA...3030020M. doi:10.1142/S0217732315300207. ISSN 0217-7323. S2CID 119111538., Heeck, Julian (December 2014). "Unbroken B – L symmetry". Physics Letters B. 739: 256–262. arXiv:1408.6845. Bibcode:2014PhLB..739..256H. doi:10.1016/j.physletb.2014.10.067., Vissani, Francesco (2021-03-03). "What is matter according to particle physics and why try to observe its creation in lab". Universe. 7 (3): 61. arXiv:2103.02642. Bibcode:2021Univ....7...61V. doi:10.3390/universe7030061.

books.google.com

Mark Thomson (5 September 2013). Modern Particle Physics. Cambridge University Press. pp. 499–500. ISBN 978-1-107-29254-3.

caltech.edu

thesis.library.caltech.edu

The lepton number in SM is only conserved at the classical level. There are non-perturbative effects that do not conserve lepton number: see Fuentes-Martín, J.; Portolés, J.; Ruiz-Femenía, P. (January 2015). "Instanton-mediated baryon number violation in non-universal gauge extended models". Journal of High Energy Physics. 2015 (1): 134. arXiv:1411.2471. Bibcode:2015JHEP...01..134F. doi:10.1007/JHEP01(2015)134. ISSN 1029-8479. or Baryon and lepton numbers in particle physics beyond the standard model

cern.ch

cds.cern.ch

Lindon, Jack (2020). Particle Collider Probes of Dark Energy, Dark Matter and Generic Beyond Standard Model Signatures in Events With an Energetic Jet and Large Missing Transverse Momentum Using the ATLAS Detector at the LHC (PhD). CERN.

doi.org

Yao, W.-M.; et al. (Particle Data Group) (2006). "Review of Particle Physics: Neutrino mass, mixing, and flavor change" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
W.-M. Yao et al. (Particle Data Group) (2006). "Review of Particle Physics: Quarks" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
Martin, Jérôme (July 2012). "Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)". Comptes Rendus Physique. 13 (6–7): 566–665. arXiv:1205.3365. Bibcode:2012CRPhy..13..566M. doi:10.1016/j.crhy.2012.04.008. S2CID 119272967.
The lepton number in SM is only conserved at the classical level. There are non-perturbative effects that do not conserve lepton number: see Fuentes-Martín, J.; Portolés, J.; Ruiz-Femenía, P. (January 2015). "Instanton-mediated baryon number violation in non-universal gauge extended models". Journal of High Energy Physics. 2015 (1): 134. arXiv:1411.2471. Bibcode:2015JHEP...01..134F. doi:10.1007/JHEP01(2015)134. ISSN 1029-8479. or Baryon and lepton numbers in particle physics beyond the standard model
The violation of lepton number and baryon number cancel each other out and in effect B − L is an exact symmetry of the Standard Model. Extension of the Standard Model with massive Majorana neutrinos breaks B-L symmetry, but extension with massive Dirac neutrinos does not: see Ma, Ernest; Srivastava, Rahul (2015-08-30). "Dirac or inverse seesaw neutrino masses from gauged B–L symmetry". Modern Physics Letters A. 30 (26): 1530020. arXiv:1504.00111. Bibcode:2015MPLA...3030020M. doi:10.1142/S0217732315300207. ISSN 0217-7323. S2CID 119111538., Heeck, Julian (December 2014). "Unbroken B – L symmetry". Physics Letters B. 739: 256–262. arXiv:1408.6845. Bibcode:2014PhLB..739..256H. doi:10.1016/j.physletb.2014.10.067., Vissani, Francesco (2021-03-03). "What is matter according to particle physics and why try to observe its creation in lab". Universe. 7 (3): 61. arXiv:2103.02642. Bibcode:2021Univ....7...61V. doi:10.3390/universe7030061.

elsevier.com

linkinghub.elsevier.com

Martin, Jérôme (July 2012). "Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)". Comptes Rendus Physique. 13 (6–7): 566–665. arXiv:1205.3365. Bibcode:2012CRPhy..13..566M. doi:10.1016/j.crhy.2012.04.008. S2CID 119272967.

fas.org

sgp.fas.org

Raby, Stuart; Slansky, Richard. "Neutrino Masses – How to add them to the Standard Model" (PDF). FAS Project on Government Secrecy. Retrieved 3 November 2023.

harvard.edu

ui.adsabs.harvard.edu

Yao, W.-M.; et al. (Particle Data Group) (2006). "Review of Particle Physics: Neutrino mass, mixing, and flavor change" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
W.-M. Yao et al. (Particle Data Group) (2006). "Review of Particle Physics: Quarks" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
Martin, Jérôme (July 2012). "Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)". Comptes Rendus Physique. 13 (6–7): 566–665. arXiv:1205.3365. Bibcode:2012CRPhy..13..566M. doi:10.1016/j.crhy.2012.04.008. S2CID 119272967.
The lepton number in SM is only conserved at the classical level. There are non-perturbative effects that do not conserve lepton number: see Fuentes-Martín, J.; Portolés, J.; Ruiz-Femenía, P. (January 2015). "Instanton-mediated baryon number violation in non-universal gauge extended models". Journal of High Energy Physics. 2015 (1): 134. arXiv:1411.2471. Bibcode:2015JHEP...01..134F. doi:10.1007/JHEP01(2015)134. ISSN 1029-8479. or Baryon and lepton numbers in particle physics beyond the standard model
The violation of lepton number and baryon number cancel each other out and in effect B − L is an exact symmetry of the Standard Model. Extension of the Standard Model with massive Majorana neutrinos breaks B-L symmetry, but extension with massive Dirac neutrinos does not: see Ma, Ernest; Srivastava, Rahul (2015-08-30). "Dirac or inverse seesaw neutrino masses from gauged B–L symmetry". Modern Physics Letters A. 30 (26): 1530020. arXiv:1504.00111. Bibcode:2015MPLA...3030020M. doi:10.1142/S0217732315300207. ISSN 0217-7323. S2CID 119111538., Heeck, Julian (December 2014). "Unbroken B – L symmetry". Physics Letters B. 739: 256–262. arXiv:1408.6845. Bibcode:2014PhLB..739..256H. doi:10.1016/j.physletb.2014.10.067., Vissani, Francesco (2021-03-03). "What is matter according to particle physics and why try to observe its creation in lab". Universe. 7 (3): 61. arXiv:2103.02642. Bibcode:2021Univ....7...61V. doi:10.3390/universe7030061.

lbl.gov

pdg.lbl.gov

Yao, W.-M.; et al. (Particle Data Group) (2006). "Review of Particle Physics: Neutrino mass, mixing, and flavor change" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
W.-M. Yao et al. (Particle Data Group) (2006). "Review of Particle Physics: Quarks" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.

mpg.de

mpi-hd.mpg.de

"Archived copy" (PDF). Archived from the original (PDF) on 2014-02-26. Retrieved 2014-02-26.{{cite web}}: CS1 maint: archived copy as title (link)

nytimes.com

Overbye, Dennis (11 September 2023). "Don't Expect a 'Theory of Everything' to Explain It All - Not even the most advanced physics can reveal everything we want to know about the history and future of the cosmos, or about ourselves". The New York Times. Archived from the original on 11 September 2023. Retrieved 11 September 2023.
Overbye, Dennis (11 September 2023). "Don't Expect a 'Theory of Everything' to Explain It All - Not even the most advanced physics can reveal everything we want to know about the history and future of the cosmos, or about ourselves". The New York Times. Archived from the original on 11 September 2023. Retrieved 11 September 2023.

semanticscholar.org

api.semanticscholar.org

Yao, W.-M.; et al. (Particle Data Group) (2006). "Review of Particle Physics: Neutrino mass, mixing, and flavor change" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
W.-M. Yao et al. (Particle Data Group) (2006). "Review of Particle Physics: Quarks" (PDF). Journal of Physics G. 33 (1): 1. arXiv:astro-ph/0601168. Bibcode:2006JPhG...33....1Y. doi:10.1088/0954-3899/33/1/001. S2CID 117958297.
Martin, Jérôme (July 2012). "Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)". Comptes Rendus Physique. 13 (6–7): 566–665. arXiv:1205.3365. Bibcode:2012CRPhy..13..566M. doi:10.1016/j.crhy.2012.04.008. S2CID 119272967.
The violation of lepton number and baryon number cancel each other out and in effect B − L is an exact symmetry of the Standard Model. Extension of the Standard Model with massive Majorana neutrinos breaks B-L symmetry, but extension with massive Dirac neutrinos does not: see Ma, Ernest; Srivastava, Rahul (2015-08-30). "Dirac or inverse seesaw neutrino masses from gauged B–L symmetry". Modern Physics Letters A. 30 (26): 1530020. arXiv:1504.00111. Bibcode:2015MPLA...3030020M. doi:10.1142/S0217732315300207. ISSN 0217-7323. S2CID 119111538., Heeck, Julian (December 2014). "Unbroken B – L symmetry". Physics Letters B. 739: 256–262. arXiv:1408.6845. Bibcode:2014PhLB..739..256H. doi:10.1016/j.physletb.2014.10.067., Vissani, Francesco (2021-03-03). "What is matter according to particle physics and why try to observe its creation in lab". Universe. 7 (3): 61. arXiv:2103.02642. Bibcode:2021Univ....7...61V. doi:10.3390/universe7030061.

symmetrymagazine.org

Womersley, J. (February 2005). "Beyond the Standard Model" (PDF). Symmetry Magazine. Archived from the original (PDF) on 2007-10-17. Retrieved 2010-11-23.

t2k-experiment.org

"Neutrino oscillations today". t2k-experiment.org.

ucr.edu

math.ucr.edu

"2.3.1 Isospin and SU(2), Redux". math.ucr.edu. Retrieved 2020-08-09.

web.archive.org

"Archived copy" (PDF). Archived from the original (PDF) on 2014-02-26. Retrieved 2014-02-26.{{cite web}}: CS1 maint: archived copy as title (link)
Womersley, J. (February 2005). "Beyond the Standard Model" (PDF). Symmetry Magazine. Archived from the original (PDF) on 2007-10-17. Retrieved 2010-11-23.

worldcat.org

search.worldcat.org

McCabe, Gordon. (2007). The structure and interpretation of the standard model. Amsterdam: Elsevier. pp. 160–161. ISBN 978-0-444-53112-4. OCLC 162131565.
The lepton number in SM is only conserved at the classical level. There are non-perturbative effects that do not conserve lepton number: see Fuentes-Martín, J.; Portolés, J.; Ruiz-Femenía, P. (January 2015). "Instanton-mediated baryon number violation in non-universal gauge extended models". Journal of High Energy Physics. 2015 (1): 134. arXiv:1411.2471. Bibcode:2015JHEP...01..134F. doi:10.1007/JHEP01(2015)134. ISSN 1029-8479. or Baryon and lepton numbers in particle physics beyond the standard model
The violation of lepton number and baryon number cancel each other out and in effect B − L is an exact symmetry of the Standard Model. Extension of the Standard Model with massive Majorana neutrinos breaks B-L symmetry, but extension with massive Dirac neutrinos does not: see Ma, Ernest; Srivastava, Rahul (2015-08-30). "Dirac or inverse seesaw neutrino masses from gauged B–L symmetry". Modern Physics Letters A. 30 (26): 1530020. arXiv:1504.00111. Bibcode:2015MPLA...3030020M. doi:10.1142/S0217732315300207. ISSN 0217-7323. S2CID 119111538., Heeck, Julian (December 2014). "Unbroken B – L symmetry". Physics Letters B. 739: 256–262. arXiv:1408.6845. Bibcode:2014PhLB..739..256H. doi:10.1016/j.physletb.2014.10.067., Vissani, Francesco (2021-03-03). "What is matter according to particle physics and why try to observe its creation in lab". Universe. 7 (3): 61. arXiv:2103.02642. Bibcode:2021Univ....7...61V. doi:10.3390/universe7030061.

worldscientific.com

The violation of lepton number and baryon number cancel each other out and in effect B − L is an exact symmetry of the Standard Model. Extension of the Standard Model with massive Majorana neutrinos breaks B-L symmetry, but extension with massive Dirac neutrinos does not: see Ma, Ernest; Srivastava, Rahul (2015-08-30). "Dirac or inverse seesaw neutrino masses from gauged B–L symmetry". Modern Physics Letters A. 30 (26): 1530020. arXiv:1504.00111. Bibcode:2015MPLA...3030020M. doi:10.1142/S0217732315300207. ISSN 0217-7323. S2CID 119111538., Heeck, Julian (December 2014). "Unbroken B – L symmetry". Physics Letters B. 739: 256–262. arXiv:1408.6845. Bibcode:2014PhLB..739..256H. doi:10.1016/j.physletb.2014.10.067., Vissani, Francesco (2021-03-03). "What is matter according to particle physics and why try to observe its creation in lab". Universe. 7 (3): 61. arXiv:2103.02642. Bibcode:2021Univ....7...61V. doi:10.3390/universe7030061.