Big Gamma Combination Workbook

-- MatthewKenzie - 28 Jul 2014

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Introduction

Really useful paper with equations is "Effective Lifetimes of Bs Decays and their constrains on Bs mixing parameters": arXiv:1109.5115
Another one which the flavour specific guys (Stone/Gandini) quote to get their equation is EPJ: DOI:10.1007/s100529901079

Input Channels

Bs -> JPsiKK

Contains CP-odd and CP-even mixtures. Best individual constraint on these parameters by far.


src/PDF_BG_JPsiKK.cpp

Theory

  • Currently IS NOT CURRENTLY USED
  • Direct observation for and

Observables:

Use the paper which is the stand-a-alone BsJpsiPhi 1fb result (i.e. not the update in which it was combined with JPsif0) which is: arXiv:1112.3183.
The 1fb-1 paper which was combined with JpsiPiPi was: arXiv:1304.2600

Bs -> JPsif0

The decay via the f0 resonance alone is completely CP-odd and hence the lifetime can be used as a direct constraint on . There is a more sophisticated analysis which does the full Bs->JPsiPiPi spectrum (i.e. through severeal resonant states) but this again becomes a mix of CP eigenstates (although is 97.5% CP-odd) and hence no breakdown of the lifetimes is provided.


src/PDF_BG_JPsif0.cpp

Theory

  • Currently use effective lifetime as direct input to such that
  • Could move to correct with: ala HFAG to first order:

    See HFAG report Eq. 50 51 and also arXiv:1109.5115

Observables

  • which gives
  • This is the the JPsif0(980) 1fb result arXiv:1207.0878v3
  • This information must be available for 3fb given that there has been a full JPsiPiPi analysis (severeal resonanances) with CP-odd and CP-even components although I can't find a particular result. The all resonanaces paper is arXiv:1405.4140 which is LHCb-ANA-2014-021

Bs -> DsDs

This is now a pure CP-even eigenstate so we get direct access to via the effective lifetime measurement.


src/PDF_BG_DsDs.cpp

Theory

  • Currently use effective lifetime as direct input to such that
  • Could move to correct with: ala HFAG to first order:

    See HFAG report Eq. 50 51 and also arXiv:1109.5115

Observables

  • which gives
  • comes from this paper 3fb: arXiv:1312.1217
  • this paper also includes the Bs -> D-Ds+ flavor-specific lifetime which maybe can be used as well? (similat to DsPi?)

Bs->KK

Also a pure CP-odd state so similarly to DsDs the effective lifetime gives acces to . Similarly might be useful to reparameterise in terms of


src/PDF_BG_KK.cpp

Theory

  • Currently use effective lifetime as direct input to such that
  • Could move to correct with: ala HFAG to first order:

    See HFAG report Eq. 50 51 and also arXiv:1109.5115

Observables

  • which gives
  • comes from this paper 1fb: arXiv:1406.7204
  • this paper also includes the Bs -> pi+K- flavor-specific lifetime which maybe can be used as well? (similar to DsPi?)

Bs -> DsPi

This is a flavour specific channel (has access to both and


src/PDF_BG_DsPi.cpp

Theory

  • Actually gets rather tricky here
  • Make the assumption that under NO (neglible) CP violation in Bs mixing that the following is true

  • This is used by the DsPi guys and they cite EPJ article here

Observables

  • can be used with above to constrain and
  • comes from 1fb: arXiv:1407.5873
  • uses the know B0 lifetime as input

Useful Links

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Topic revision: r5 - 2014-08-21 - MatthewKenzie
 
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