Plots for Belle II Physics Book

We have been asked to provide some plots with corresponding numbers for a Belle 2 document on future sensitivity in various flavour measurements.

LHCb Authors: Johannes Albrecht, Matthew Kenzie, Stefanie Reichert, Alison Tully

We are making the following plots:

  1. RH currents (espR vs VubL)
  2. Vub vs Vcb
  3. Rd vs Rdst
  4. gamma
  5. Wilson coefficient scans

Note that the sensitivity estimate numbers being used for all the inputs is documented here

The numbers being used from LHCb are shown in the table below. For central values and uncertainties we use current measurements (if they exist). We then use predictions of the uncertainty after Run2 and after Run3.

Numbers from LHCb Being Used

THESE NUMBERS SHOULD BE SIGNED OFF BY VINCENZO

The numbers I have gathered from asking relevant WG convenors (Patrick Owen for RD, RD* and Vub/Vcb in SL and from Sneha and my own (Matt) studies for gamma).

Observable LHCb 10fb (Run1+Run2) LHCb 22fb (Run1+Run2+Run3)
R(D) 4% 2%
R(D*) 4% 2%
Vub/Vcb 3% (exp) (+) 2% (lattice) 3% (exp) (+) 1% lattice
γ 4 1.5

RH currents

Here we have two possibilities. The current favourite is the first one which shows constraints from the different types of measurements with all centrals values adjusted so that they cross at epsR=0 and at the world average value of Vub. The second one shows the same thing but with the currently existing central values (with their combination overlaid). This one we feel is slightly more misleading.

Things to consider:

  • Speakers / authors should bare in mind that the outermost band (current sensitivity) has left facing diagonal line fill style. The second outermost band (sensitivity at 5ab for Belle2 and 10fb for LHCb) has right facing diagonal fill style (subsequently these two together give a cross hatched fill style). The innermost band (sensitivity at 50ab for Belle2 and 22fb for LHCb) has a dotted fill style.
  • I feel the turquoise band for B->pi l nu decays should be slightly lighter at it's edges (reflecting a similar colour change to that seen for the purple band). Otherwise it seems good to go.
  • Perhaps the central light green for the Lambda_b stuff is too green?
  • Could consider removing the internal fill (i.e the coloured bands - keeping ONLY the fill style)

belle2 Vub plot Vub WA frac errs.png belle2 Vub plot.png

Vub vs Vcb

This plot is pretty much complete

Things to consider:

  • Speakers / authors should bare in mind that the outermost band (current sensitivity) has left facing diagonal line fill style. The second outermost band (sensitivity at 5ab for Belle2 and 10fb for LHCb) has right facing diagonal fill style (subsequently these two together give a cross hatched fill style). The innermost band (sensitivity at 50ab for Belle2 and 22fb for LHCb) has a dotted fill style. This is means you can tell where the sensitivity comes from if the outer band is cross hatched or single diagonal line fill.
  • The indirect CKM fit constraints may also be provided for future sensitivity in which case we could consider also overlaying them but things are already quite messy.
  • We could consider removing the purple and dark green circles (the current exclusive and inclusive combinations) as they don't offer a huge amount anyway.

Vub Vcb plot dressed.png

Rd vs Rdst

This plot is pretty much complete

Not sure there is much room for improvement. We are happy. Maybe we could add a point at the central value for the SM prediction.

Notice the bands shown are:

  • The current average of LHCb and Belle measurements (a dark blue ellipse with a point at the central value)
  • Two shaded green areas which show the projected sensitivity of Belle II (at 5ab and 50ab respectively, assuming the same central value as above)
  • Two red shaded areas which show the projected sensitivity of LHCb (at 10fb and 22fb respectively, assuming the same central value as above)
  • The yellow hatched area as the SM prediction (we could at point here to show the central value)

Rd Rdst plot.png

gamma

This plot is pretty much complete

I think we are happy as it is.

Notice the different pieces shown are:

  • In green the uncertainty from Belle Now (diagonal fill) along with the predicted uncertainty for Belle 2 at 5ab (hatched fill) and 50ab (dotted fill) in which for all three the central value has been set to 50 degrees
  • In blue the uncertainty from LHCb Now (diagonal fill) along with the predicted uncertainty for LHCb at 10fb (hatched fill) and 22fb (dotted fill) in which for all three the central value has been set to 90 degrees
  • In red the current world combination uncertainty (with the central value fixed to 70 degrees)
  • In orange the predicted world combination in 2019 (with the central value fixed to 70 degrees)
  • In black the predicted world combination in 2023 (with the central value fixed to 70 degrees)

belle2 gammacombo plot.png

Inputs Wilson coefficient scans (statistical uncertainties only)

Assumptions:

  • Trigger corrections taken from LHCB-TDR-016, Table 4.7 (Run 1 vs 25 kHz Upgrade scenario)
    Muons: 1.06 - from K*mumu
    Electrons: 1.84 - from K*ee
    Tauons: 3.76 - from D*taunu
    Neutrals: 2.24 - from KKpi0
  • Scaling statistical uncertainties only (!)
  • Scale factors are:
    Muons Electrons Tauons Neutrals
    Run 2 3.83 3.83 3.83 3.83
    Run 3 13.15 20.04 37.05 23.58

    and are computed as follows:

    1.) Calculate 13 TeV equivalent of luminosity, eg. Run 1: (8 TeV /13 TeV)*2/fb+(7 TeV /13 TeV)*1/fb = 1.77/fb and Run 2: 5/fb → after Run 2: 6.77/fb.
    2.) Scale Run 1 measurement with SF=6.77/1.77 = 3.83. Note: sigma(Run 1) → sigma(Run 2)=sigma(Run 1)/√SF
    3.) Repeat same procedure (but a bit more complicated) for Run 3.

Observable LHCb 3/fb (after Run 1) LHCb 8/fb (after Run 2) LHCb 22.5/fb (after Run 3) Reference for Run 1 measurement
BR(Bd->mumu) 2.25e-10 1.15e-10 6.20e-11 LHCb-PAPER-2013-046
BR(Bs->mumu) 1.05e-9 5.37e-10 2.9e-10 LHCb-PAPER-2013-046
<FH>(B+->Kmumu), 0.05 < q2 < 2.00 0.033 0.017 0.009 LHCb-PAPER-2012-024
<FH>(B+->Kmumu), 2.00 < q2 < 4.30 0.072 0.037 0.020 LHCb-PAPER-2012-024
<FH>(B+->Kmumu), 4.30 < q2 < 8.68 0.039 0.020 0.011 LHCb-PAPER-2012-024
<FH>(B+->Kmumu), 16.0 < q2 < 18.00 0.099 0.051 0.027 LHCb-PAPER-2012-024
<FH>(B+->Kmumu), 18.0 < q2 < 22.00 0.124 0.063 0.034 LHCb-PAPER-2012-024
BR(Bs->phigamma) 2.21e-6 1.13e-6 4.54e-7 LHCb-PAPER-2012-019 (includes uncertainty from HFAG WA on B->K*y measurement)
ADeltaGamma (Bs->phigamma) 0.490 0.250 0.101 LHCb-PAPER-2016-034
<ATIm>(B0->K*ee), 0.002 < q2 < 1.12 0.220 0.112 0.049 LHCb-PAPER-2014-066
<P1>(B0->K*ee), 0.002 < q2 < 1.12 0.230 0.118 0.051 LHCb-PAPER-2014-066
<S3>(B0->K*mumu), 1.1 < q2 < 2.5 0.096 0.049 0.026 LHCb-PAPER-2015-051
<S4>(B0->K*mumu), 1.1 < q2 < 2.5 0.112 0.057 0.031 LHCb-PAPER-2015-051
<S5>(B0->K*mumu), 1.1 < q2 < 2.5 0.097 0.049 0.027 LHCb-PAPER-2015-051
<FL>(B0->K*mumu), 1.1 < q2 < 2.5 0.080 0.041 0.022 LHCb-PAPER-2015-051
<AFB>(B0->K*mumu), 1.1 < q2 < 2.5 0.074 0.038 0.020 LHCb-PAPER-2015-051
<S3>(B0->K*mumu), 2.5 < q2 < 4.0 0.094 0.048 0.026 LHCb-PAPER-2015-051
<S4>(B0->K*mumu), 2.5 < q2 < 4.0 0.136 0.069 0.037 LHCb-PAPER-2015-051
<S5>(B0->K*mumu), 2.5 < q2 < 4.0 0.107 0.054 0.029 LHCb-PAPER-2015-051
<FL>(B0->K*mumu), 2.5 < q2 < 4.0 0.103 0.053 0.028 LHCb-PAPER-2015-051
<AFB>(B0->K*mumu), 2.5 < q2 < 4.0 0.086 0.044 0.024 LHCb-PAPER-2015-051
<S3>(B0->K*mumu), 4.0 < q2 < 6.0 0.069 0.035 0.019 LHCb-PAPER-2015-051
<S4>(B0->K*mumu), 4.0 < q2 < 6.0 0.085 0.043 0.023 LHCb-PAPER-2015-051
<S5>(B0->K*mumu), 4.0 < q2 < 6.0 0.078 0.040 0.021 LHCb-PAPER-2015-051
<FL>(B0->K*mumu), 4.0 < q2 < 6.0 0.053 0.027 0.014 LHCb-PAPER-2015-051
<AFB>(B0->K*mumu), 4.0 < q2 < 6.0 0.052 0.026 0.014 LHCb-PAPER-2015-051
<S3>(B0->K*mumu), 15.0 < q2 < 19.0 0.033 0.017 0.009 LHCb-PAPER-2015-051
<S4>(B0->K*mumu), 15.0 < q2 < 19.0 0.040 0.020 0.011 LHCb-PAPER-2015-051
<S5>(B0->K*mumu), 15.0 < q2 < 19.0 0.037 0.019 0.010 LHCb-PAPER-2015-051
<FL>(B0->K*mumu), 15.0 < q2 < 19.0 0.029 0.015 0.008 LHCb-PAPER-2015-051
<AFB>(B0->K*mumu), 15.0 < q2 < 19.0 0.027 0.014 0.007 LHCb-PAPER-2015-051
<dBR/dq2>(Bs->phimumu), 1.0 < q2 < 6.0 3.20e-9 1.64e-9 8.82e-10 LHCb-PAPER-2015-023
<Rmue>(Bs->phill), 1.0 < q2 < 6.0 0.286 0.146 0.079 LHCb-PAPER-2015-023
<Rmue>(Bs->phill), 15.0 < q2 < 19.0 0.246 0.126 0.068 LHCb-PAPER-2015-023
<Rmue>(B+->Kll), 1.0 < q2 < 6.0 0.082 0.042 0.023 LHCb-PAPER-2014-006
<Rmue>(B+->Kll), 15.0 < q2 < 22.0 0.076 0.039 0.021 LHCb-PAPER-2014-006
<Rmue>(B0->K*ll), 1.1 < q2 < 6.0 0.118 0.060 0.033 LHCb-PAPER-2016-012
<Rmue>(B0->K*ll), 15.0 < q2 < 19.0 0.109 0.056 0.030 LHCb-PAPER-2016-012

Not in Wilson coefficient scans:

Note: For B(d,s)->tautau, we used the trigger correction factor mentioned above to be conservative (instead od squaring the correction).

Note: For B(s,d)->emu, we added a penalty factor in: P=0.5*[sqrt(Yield Kmumu/Yield Kee) + 0.5*{ (Bs->emu/Bs->mumu) + (Bd->emu/Bd->mumu) }], which is multiplied to the B(s,d)->mumu BFs.

Limits @ 95% CL LHCb 3/fb (after Run 1) LHCb 8/fb (after Run 2) LHCb 22.5/fb (after Run 3) Reference for Run 1 measurement
BR(Bd->ee) < 2.2e-9 < 1.1e-9 < 0.5e-9 estimated from LHCb-PAPER-2013-046
BR(Bs->ee) < 1.0e-8 < 0.5e-8 < 0.3e-8 estimated from LHCb-PAPER-2013-046
BR(Bd->tautau) < 1.3e-3 < 6.6e-4 < 2.1e-4 LHCb-CONF-2016-011
BR(Bs->tautau) < 3.0e-3 < 1.5e-4 < 4.9e-4 LHCb-CONF-2016-011
BR(Bd->emu) < 2.0e-9 < 1.0e-9 < 5.1e-10 LHCb-PAPER-2013-030
BR(Bs->emu) < 7.7e-9 < 4.0e-9 < 1.9e-9 LHCb-PAPER-2013-030
BR(tau->3mu) < 5.6e-8 < 2.9e-8 < 1.5e-8 LHCb-PAPER-2014-052
-- MatthewKenzie - 28 Jul 2014
Topic attachments
I Attachment History Action Size Date Who Comment
PDFpdf C9mumu_C9ee.pdf r1 manage 385.4 K 2017-02-10 - 13:56 StefanieReichert  
PDFpdf Rd_Rdst_plot.pdf r2 r1 manage 19.1 K 2016-10-25 - 16:30 AlisonTully  
PNGpng Rd_Rdst_plot.png r2 r1 manage 19.8 K 2016-11-07 - 10:07 AlisonTully  
PDFpdf ReC7_ImC7.pdf r1 manage 375.8 K 2017-02-10 - 13:55 StefanieReichert  
PDFpdf Vub_Vcb_plot_dressed.pdf r1 manage 22.2 K 2016-10-25 - 15:39 MatthewKenzie  
PNGpng Vub_Vcb_plot_dressed.png r1 manage 66.3 K 2016-10-27 - 18:55 MatthewKenzie  
PDFpdf belle2_Vub_plot.pdf r1 manage 30.3 K 2016-10-25 - 15:39 MatthewKenzie  
PNGpng belle2_Vub_plot.png r1 manage 43.0 K 2016-10-27 - 18:55 MatthewKenzie  
PDFpdf belle2_Vub_plot_Vub_WA_frac_errs.pdf r2 r1 manage 28.6 K 2016-10-27 - 16:14 MatthewKenzie  
PNGpng belle2_Vub_plot_Vub_WA_frac_errs.png r1 manage 37.9 K 2016-10-27 - 18:55 MatthewKenzie  
PDFpdf belle2_gammacombo_empty7_empty8_empty9_empty10_empty11_empty12_empty14_empty25_empty36_g.pdf r1 manage 17.7 K 2016-10-25 - 15:39 MatthewKenzie  
PDFpdf belle2_gammacombo_plot.pdf r3 r2 r1 manage 17.8 K 2016-10-31 - 15:46 MatthewKenzie  
PNGpng belle2_gammacombo_plot.png r3 r2 r1 manage 38.7 K 2016-10-31 - 15:46 MatthewKenzie  
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