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Some comparison between IDRL and IDRS in reconstructed particle level has done. More details can be found in my talk on 2019Apr03. All plots are lefthanded beam polarization. All histograms are normalized to 1.
Overall distribution after BDTG score cut:
and
LaTeX Math Inline 

body  \sigma (M_{\mu ^+ \mu ^}) 


View file 

name  mumu_mass.pdf 

height  250 


View file 

name  sigma_mumu_mass.pdf 

height  250 


View file 

name  sigma_mumu_mass.C 

height  250 


Similar plot ("barrel category"); require both muons are in barrel region
LaTeX Math Inline 

body  \cos \theta _{\mu ^{\pm}} < 0.7 


View file 

name  mumu_mass_07.pdf 

height  250 


View file 

name  sigma_mumu_mass_07.pdf 

height  250 


View file 

name  mumu_mass_07.C 

height  250 


View file 

name  sigma_mumu_mass_07.C 

height  250 


Similar plot ("mixed category"); require one muon is in barrel region
LaTeX Math Inline 

body  \cos \theta _{\mu 1} < 0.7 


, and another is in endcap/forward region
LaTeX Math Inline 

body  \cos \theta _{\mu 2} > 0.7 


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A toy MC technique is applied by using overall
distribution after BDTG score cut to estimate the precision on
LaTeX Math Inline 

body  \sigma \times \mathrm{BR}(H \to \mu ^+ \mu ^) 


. Two detector models and two beam polarization cases are considered. In addition, the theoretical number is provided which assumes 100% signal efficiency, no backgrounds, and no detector effects.
 IDRL  IDRS  Theory 

left    
right    
 My real analysis is about a factor of 3 worse than the theoretical limit. There are several reasons mixed up: imperfection of cuts, existence of irreducible background mainly come from
LaTeX Math Inline 

body  e^+ e^ \to W^+ W^ \to 2\mu 2\nu 


, detector effect, and so on.  The righthanded case does not provide good precision due to too small number of events, only ~8 events with 1600 fb1 statistics.
 IDRL gives relatively ~2.4% better precision than IDRS, because overall distribution is better in IDRL. In detail, IDRL gives significantly better performance in "barrel category", and similar performance in "mixed category". Almost all events are categorized in these two groups, resulting better result with IDRL.
IDR note.
You can see my private overleaf project from here. The contents are only IDRworld.
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