The link between neutrino masses and proton decay in supersymmetric unification
Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unif...
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Gespeichert in:
| Autor*in: |
Pati, J. C. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2000 |
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| Schlagwörter: |
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| Anmerkung: |
© MAIK "Nauka/Interperiodica" 2000 |
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| Übergeordnetes Werk: |
Enthalten in: Physics of atomic nuclei - Nauka/Interperiodica, 1993, 63(2000), 6 vom: Juni, Seite 1058-1077 |
|---|---|
| Übergeordnetes Werk: |
volume:63 ; year:2000 ; number:6 ; month:06 ; pages:1058-1077 |
| Links: |
|---|
| DOI / URN: |
10.1134/1.855750 |
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OLC2049888317 |
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| 520 | |a Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. | ||
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10.1134/1.855750 doi (DE-627)OLC2049888317 (DE-He213)1.855750-p DE-627 ger DE-627 rakwb eng 530 VZ Pati, J. C. verfasserin aut The link between neutrino masses and proton decay in supersymmetric unification 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK "Nauka/Interperiodica" 2000 Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. Color Elementary Particle Distinctive Feature Neutrino Masse Charged Lepton Enthalten in Physics of atomic nuclei Nauka/Interperiodica, 1993 63(2000), 6 vom: Juni, Seite 1058-1077 (DE-627)131188437 (DE-600)1146378-8 (DE-576)032622155 1063-7788 nnns volume:63 year:2000 number:6 month:06 pages:1058-1077 https://doi.org/10.1134/1.855750 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2279 AR 63 2000 6 06 1058-1077 |
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10.1134/1.855750 doi (DE-627)OLC2049888317 (DE-He213)1.855750-p DE-627 ger DE-627 rakwb eng 530 VZ Pati, J. C. verfasserin aut The link between neutrino masses and proton decay in supersymmetric unification 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK "Nauka/Interperiodica" 2000 Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. Color Elementary Particle Distinctive Feature Neutrino Masse Charged Lepton Enthalten in Physics of atomic nuclei Nauka/Interperiodica, 1993 63(2000), 6 vom: Juni, Seite 1058-1077 (DE-627)131188437 (DE-600)1146378-8 (DE-576)032622155 1063-7788 nnns volume:63 year:2000 number:6 month:06 pages:1058-1077 https://doi.org/10.1134/1.855750 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2279 AR 63 2000 6 06 1058-1077 |
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10.1134/1.855750 doi (DE-627)OLC2049888317 (DE-He213)1.855750-p DE-627 ger DE-627 rakwb eng 530 VZ Pati, J. C. verfasserin aut The link between neutrino masses and proton decay in supersymmetric unification 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK "Nauka/Interperiodica" 2000 Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. Color Elementary Particle Distinctive Feature Neutrino Masse Charged Lepton Enthalten in Physics of atomic nuclei Nauka/Interperiodica, 1993 63(2000), 6 vom: Juni, Seite 1058-1077 (DE-627)131188437 (DE-600)1146378-8 (DE-576)032622155 1063-7788 nnns volume:63 year:2000 number:6 month:06 pages:1058-1077 https://doi.org/10.1134/1.855750 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2279 AR 63 2000 6 06 1058-1077 |
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10.1134/1.855750 doi (DE-627)OLC2049888317 (DE-He213)1.855750-p DE-627 ger DE-627 rakwb eng 530 VZ Pati, J. C. verfasserin aut The link between neutrino masses and proton decay in supersymmetric unification 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK "Nauka/Interperiodica" 2000 Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. Color Elementary Particle Distinctive Feature Neutrino Masse Charged Lepton Enthalten in Physics of atomic nuclei Nauka/Interperiodica, 1993 63(2000), 6 vom: Juni, Seite 1058-1077 (DE-627)131188437 (DE-600)1146378-8 (DE-576)032622155 1063-7788 nnns volume:63 year:2000 number:6 month:06 pages:1058-1077 https://doi.org/10.1134/1.855750 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2279 AR 63 2000 6 06 1058-1077 |
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10.1134/1.855750 doi (DE-627)OLC2049888317 (DE-He213)1.855750-p DE-627 ger DE-627 rakwb eng 530 VZ Pati, J. C. verfasserin aut The link between neutrino masses and proton decay in supersymmetric unification 2000 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © MAIK "Nauka/Interperiodica" 2000 Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. Color Elementary Particle Distinctive Feature Neutrino Masse Charged Lepton Enthalten in Physics of atomic nuclei Nauka/Interperiodica, 1993 63(2000), 6 vom: Juni, Seite 1058-1077 (DE-627)131188437 (DE-600)1146378-8 (DE-576)032622155 1063-7788 nnns volume:63 year:2000 number:6 month:06 pages:1058-1077 https://doi.org/10.1134/1.855750 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-AST GBV_ILN_40 GBV_ILN_70 GBV_ILN_2004 GBV_ILN_2014 GBV_ILN_2279 AR 63 2000 6 06 1058-1077 |
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C.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The link between neutrino masses and proton decay in supersymmetric unification</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2000</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© MAIK "Nauka/Interperiodica" 2000</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. 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the link between neutrino masses and proton decay in supersymmetric unification |
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The link between neutrino masses and proton decay in supersymmetric unification |
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Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. © MAIK "Nauka/Interperiodica" 2000 |
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Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. © MAIK "Nauka/Interperiodica" 2000 |
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Abstract Following recent joint works with K. Babu and F. Wilczek, I stress here that supersymmetric unification, based on symmetries like SO(10) or a string-derived G(224)=SU(2)L×SU(2)R×SU(4)C possesses some crucial features that are intimately linked to each other. They are (a) gauge-coupling unification; (b) the masses and mixings of all fermions, including especially the neutrinos; and last but not least (c) proton decay. In this context, it is noted that the value of $$m_{v_L^\tau } \sim 1/20{\text{ }}eV$$, suggested by the Super-Kamiokande result, goes extremely well with the unification-hypothesis, based on the ideas of (i) SU(4)-color, (ii) left-right symmetry, and (iii) supersymmetry. A concrete proposal is presented within an economical SO(10)-framework that makes five successful predictions for the masses and mixings of the quarks and the charged leptons. The same framework explains why the $ ν_{π} $−$ ν_{τ} $ oscillation angle is so large $$(\sin ^2 2\theta _{\nu _\mu \nu _\tau }^{osc} \approx 0.82 - 0.96)$$ and yet Vbc is so small (≈0.04), both in accord with observation. The influence of the masses of the neutrinos and of the charged fermions on proton decay is discussed concretely, within this framework. The $$\bar \nu K^ + $$ mode is expected to be dominant for SUSY SO(10) as well as SU(5). A distinctive feature of the SO(10) model, however, is the likely prominence of the $ μ^{+} $K0 mode, which, for SU(5), is highly suppressed. Our study shows that while current limits on the rate of proton decaying into $$\bar \nu K^ + $$ are compatible with theoretical expectations, improvements in these limits by a factor of 5–10 should either turn up events, or else the SO(10)-framework described here, which is otherwise so successful, will be in jeopardy. Prominence of $ theμ^{+} $K0 mode, if observed, will be most significant in that it will reveal the intriguing link that exists between neutrino masses and proton decay in the context of supersymmetric unification. © MAIK "Nauka/Interperiodica" 2000 |
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