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Title: B_c Meson Production Around the Z^0 Peak at a High Luminosity e^+ e^- Collider

Abstract

Considering the possibility to build an e{sup +}e{sup -} collider at the energies around the Z{sup 0}-boson resonance with a planned luminosity so high as L {proportional_to} 10{sup 34} {approx} 10{sup 36} cm{sup -2}s{sup -1} (super Z-factory), we make a detailed discussion on the (c{bar b})-quarkonium production through e{sup +}e{sup -} {yields} (c{bar b})[n] + b + {bar c} within the framework of non-relativistic QCD. Here [n] stands for the Fock-states |(c{sub b}){sub 1}[{sup 1}S{sub 0}]>, |(c{bar b})8[{sup 1}S{sub 0}]g>, |(c{bar b} ){sub 1}[{sup 3}S{sub 1}]>, |(c{bar b}){sub 8}[{sup 3}S{sub 1}]g>, |(c{bar b}){sub 1}[{sup 1}P{sub 1}]> and |(c{bar b}){sub 1}[{sup 3}P{sub J}]> (with J = (1, 2, 3)) respectively. To simplify the hard-scattering amplitude as much as possible and to derive analytic expressions for the purpose of future events simulation, we adopt the 'improved trace technology' to do our calculation, which deals with the hard scattering amplitude directly at the amplitude level other than the conventional way at the squared-amplitude level. Total cross-section uncertainties caused by the quark masses are predicted by taking m{sub c} = 1.50 {+-} 0.30 GeV and m{sub b} = 4.90 {+-} 0.40 GeV. If all higher (c{bar b})-quarkonium states decay to the ground state B{submore » c} (|(c{bar b}){sub 1}[{sup 1}S{sub 0}]>) with 100% efficiency, we obtain {sigma}{sub e{sup +}+e{sup -}{yields}B{sub c}+b+{bar c}} = 5.190{sub -2.419}{sup +6.222} pb, which shows that about 10{sup 5} {approx} 10{sup 7} B{sub c} events per operation year can be accumulated in the super Z-factory. If taking the collider energy runs slightly off the Z{sup 0}-peak, i.e. {radical}S = (1.00 {+-} 0.05)m{sub Z}, the total cross-section shall be lowered by about one-order from its peak value. Such a super Z-factory shall provide another useful platform to study the properties of B{sub c} meson, or even the properties of its excited P-wave states, in addition to its production at the hadronic colliders Tevatron and LHC.« less

Authors:
; ; ; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1043875
Report Number(s):
SLAC-PUB-14978
Journal ID: ISSN 1550-7998; arXiv:1112.5169; TRN: US1203224
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 85; Journal Issue: 9; Journal ID: ISSN 1550-7998
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; DECAY; EFFICIENCY; FERMILAB TEVATRON; GROUND STATES; LUMINOSITY; MESONS; PRODUCTION; QUANTUM CHROMODYNAMICS; QUARKS; RESONANCE; SCATTERING AMPLITUDES; SIMULATION; TOTAL CROSS SECTIONS; Phenomenology-HEP,HEPPH

Citation Formats

Yang, Zhi, /Chongqing U., Wu, Xing-Gang, /Chongqing U. /SLAC, Chen, Gu, Liao, Qi-Li, /Chongqing U., Zhang, Jia-Wei, and /Chongqing U. B_c Meson Production Around the Z^0 Peak at a High Luminosity e^+ e^- Collider. United States: N. p., 2012. Web. doi:10.1103/PhysRevD.85.094015.
Yang, Zhi, /Chongqing U., Wu, Xing-Gang, /Chongqing U. /SLAC, Chen, Gu, Liao, Qi-Li, /Chongqing U., Zhang, Jia-Wei, & /Chongqing U. B_c Meson Production Around the Z^0 Peak at a High Luminosity e^+ e^- Collider. United States. https://doi.org/10.1103/PhysRevD.85.094015
Yang, Zhi, /Chongqing U., Wu, Xing-Gang, /Chongqing U. /SLAC, Chen, Gu, Liao, Qi-Li, /Chongqing U., Zhang, Jia-Wei, and /Chongqing U. 2012. "B_c Meson Production Around the Z^0 Peak at a High Luminosity e^+ e^- Collider". United States. https://doi.org/10.1103/PhysRevD.85.094015. https://www.osti.gov/servlets/purl/1043875.
@article{osti_1043875,
title = {B_c Meson Production Around the Z^0 Peak at a High Luminosity e^+ e^- Collider},
author = {Yang, Zhi and /Chongqing U. and Wu, Xing-Gang and /Chongqing U. /SLAC and Chen, Gu and Liao, Qi-Li and /Chongqing U. and Zhang, Jia-Wei and /Chongqing U.},
abstractNote = {Considering the possibility to build an e{sup +}e{sup -} collider at the energies around the Z{sup 0}-boson resonance with a planned luminosity so high as L {proportional_to} 10{sup 34} {approx} 10{sup 36} cm{sup -2}s{sup -1} (super Z-factory), we make a detailed discussion on the (c{bar b})-quarkonium production through e{sup +}e{sup -} {yields} (c{bar b})[n] + b + {bar c} within the framework of non-relativistic QCD. Here [n] stands for the Fock-states |(c{sub b}){sub 1}[{sup 1}S{sub 0}]>, |(c{bar b})8[{sup 1}S{sub 0}]g>, |(c{bar b} ){sub 1}[{sup 3}S{sub 1}]>, |(c{bar b}){sub 8}[{sup 3}S{sub 1}]g>, |(c{bar b}){sub 1}[{sup 1}P{sub 1}]> and |(c{bar b}){sub 1}[{sup 3}P{sub J}]> (with J = (1, 2, 3)) respectively. To simplify the hard-scattering amplitude as much as possible and to derive analytic expressions for the purpose of future events simulation, we adopt the 'improved trace technology' to do our calculation, which deals with the hard scattering amplitude directly at the amplitude level other than the conventional way at the squared-amplitude level. Total cross-section uncertainties caused by the quark masses are predicted by taking m{sub c} = 1.50 {+-} 0.30 GeV and m{sub b} = 4.90 {+-} 0.40 GeV. If all higher (c{bar b})-quarkonium states decay to the ground state B{sub c} (|(c{bar b}){sub 1}[{sup 1}S{sub 0}]>) with 100% efficiency, we obtain {sigma}{sub e{sup +}+e{sup -}{yields}B{sub c}+b+{bar c}} = 5.190{sub -2.419}{sup +6.222} pb, which shows that about 10{sup 5} {approx} 10{sup 7} B{sub c} events per operation year can be accumulated in the super Z-factory. If taking the collider energy runs slightly off the Z{sup 0}-peak, i.e. {radical}S = (1.00 {+-} 0.05)m{sub Z}, the total cross-section shall be lowered by about one-order from its peak value. Such a super Z-factory shall provide another useful platform to study the properties of B{sub c} meson, or even the properties of its excited P-wave states, in addition to its production at the hadronic colliders Tevatron and LHC.},
doi = {10.1103/PhysRevD.85.094015},
url = {https://www.osti.gov/biblio/1043875}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 9,
volume = 85,
place = {United States},
year = {Tue May 22 00:00:00 EDT 2012},
month = {Tue May 22 00:00:00 EDT 2012}
}