models:speculative_models:democracy
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models:speculative_models:democracy [2018/01/22 15:19] jakobadmin created |
models:speculative_models:democracy [2018/05/05 12:57] (current) jakobadmin ↷ Page moved from open_problems:flavour_puzzle:democracy to models:speculative_models:democracy |
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| ====== Flavor Democracy ====== | ====== Flavor Democracy ====== | ||
| - | <tabbox Why is it interesting?> | ||
| - | |||
| - | Flavor democracy is one of the most attractive approaches to explain the observed mass and mixing angles pattern of the standard model. | ||
| - | |||
| - | It was already [[http://www.sciencedirect.com/science/article/pii/0370269378904859?via%3Dihub|noted in 1978]] that a Yukawa matrix where all entries are the same, i.e. democratic, yields one important aspect of the flavor puzzle automatically: the heaviness of the third generation. In addition, adding a small perturbation to this democratic ansatz yields successfull relations between the masses and mixing angles. | ||
| - | <tabbox Layman> | + | <tabbox Intuitive> |
| <note tip> | <note tip> | ||
| Line 13: | Line 8: | ||
| </note> | </note> | ||
| | | ||
| - | <tabbox Student> | + | <tabbox Concrete> |
| - | * [[http://www.sciencedirect.com/science/article/pii/0370269378904859?via%3Dihub|Original Paper: Quark masses and cabibbo angles]] by Haim Harari et. al. | + | * [[http://www.sciencedirect.com/science/article/pii/0370269378904859?via%3Dihub|Original Paper: Quark masses and Cabibbo angles]] by Haim Harari et. al. |
| * Essential Review: [[http://www.sciencedirect.com/science/article/pii/S0146641011000068?via%3Dihub|Mass and flavor mixing schemes of quarks and leptons]] by Harald Fritzsch, Zhi-zhong Xing | * Essential Review: [[http://www.sciencedirect.com/science/article/pii/S0146641011000068?via%3Dihub|Mass and flavor mixing schemes of quarks and leptons]] by Harald Fritzsch, Zhi-zhong Xing | ||
| - | <tabbox Researcher> | + | <tabbox Abstract> |
| - | <note tip> | + | **Important Papers** |
| - | The motto in this section is: //the higher the level of abstraction, the better//. | + | |
| - | </note> | + | |
| + | * [[http://www.sciencedirect.com/science/article/pii/037026939091205P|Flavour democracy and the lepton-quark hierarchy]] by H. Fritzsch and J.Plankl | ||
| + | * H. Harari, H. Haut and J. Weyers, Phys. Letl. B 78 (1978) 459; | ||
| + | * Y. Chikashige, G. Gelmini, R.D. Pcccei and M. Roncadelli, Phys. Lett. B 94 (1980) 499. | ||
| + | * C. Jarlskog, in: Proc. Intern. Conf. on Production and decay of heavy hadrons (Heidelberg, 1986). | ||
| + | * Y. Koide, Phys. Rev. D 28 (1983) 252; Phys. Left. B 120 (1983) 16l; preprints US-89-01 (1989), US-89-07 (1989). | ||
| + | * H. Fritzsch, preprint MPI-PAE 22/88 ( 1988); Proc. XI. Warsaw Symp. on High energy physics (Kazimierz, Poland, 1988); preprint MP1-PAE/PTh 26/89. | ||
| + | * L. Laoura, Phys. Lett. B 228 (1989) 245. | ||
| + | * C.H. Albright and M. Lindner, preprint, FERMILAB-PUB-89/17 T | ||
| | | ||
| - | <tabbox Examples> | + | |
| + | **Possible Origins of the Democratic Yukawa Matrices** | ||
| - | --> Example1# | + | * [[http://www.sciencedirect.com/science/article/pii/0370269387901869|Specific breaking of chiral symmetries]] |
| + | * [[http://inspirehep.net/record/23606/|BCS like "pairing forces"]], see also [[http://www.sciencedirect.com/science/article/pii/0167278985901575|this paper by Nambu]] and especially the [[https://inspirehep.net/search?ln=de&p=find+a+kaus+and+a+meshkov&of=hb&action_search|papers by Meshkov and Kaus]]. | ||
| + | * [[http://inspirehep.net/record/23673/|Radiative corrections involving heavy fermions]] | ||
| + | <tabbox Why is it interesting?> | ||
| - | + | Flavor democracy is one of the most attractive approaches to explain the observed mass and mixing angles pattern of the standard model. | |
| - | <-- | + | |
| - | --> Example2:# | + | It was already [[http://www.sciencedirect.com/science/article/pii/0370269378904859?via%3Dihub|noted in 1978]] that a Yukawa matrix where all entries are the same, i.e. democratic, yields one important aspect of the flavor puzzle automatically: the heaviness of the third generation. In addition, adding a small perturbation to this democratic ansatz yields successfull relations between the masses and mixing angles. |
| - | + | In addition, there is a [[https://arxiv.org/pdf/hep-ph/0505220.pdf|close relationship to the (in)famous Koide formula]] and other popular solutions of the flavor problem, [[http://www.sciencedirect.com/science/article/pii/0370269389906667?via%3Dihub|called Fritzsch textures]]. | |
| - | <-- | + | |
| - | + | ||
| - | <tabbox FAQ> | + | |
| | | ||
| <tabbox History> | <tabbox History> | ||
| + | The notion "democratic family mixing" was introduced by | ||
| + | C. Jarlskog in University of Stockholm Report No. 10, 1986 | ||
| </tabbox> | </tabbox> | ||
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