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G U Y W O R M S E R
L A L
C N R S / I N 2 P 3 , P A R I S S A C L A Y U N I V E R S I T Y
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Lepton Flavour Universality violationReview of experimental results and
prospects
With many thanks to Simone Bifani
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Lepton Flavour Universalitya key ingredient of the standard model
In the SM, the charged and neutral current interactions must respect Lepton Flavour Universality
Equal couplings of the W and Z bosons to
electrons, muons and taus
For the Z boson, this has been checked at the 2 per millaccuracy at LEP
For the W boson, the t BR is 2.8 s above <e,m> which are equal to 2 per mil precision
Arxiv : hep-ph/0607280
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Where to look for LFU
In rare K decays pee, pmm (known to 6%) hadronic effects
In rare D decays K(*)ee, K(*)mm (only limits) hadronic effects
In B decaysThe only possibility to look for e/mu/tau comparison
At tree level in Charged current interactions in supressed neutral current reactions Can also to be searched for, in annihilation reactions
Btn vs B mn (BELLE-II) Ds,D
+tn Ds,D
+ mn , (hadronic corrections)
Semileptonic Vub decays b->utn probe the same vertex as the annihilation (LHCb) B+
pptn, Lb ptn)
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The criterium for a good LFU
Very robust theoretical prediction
Experimental precision in the same ball park
High sensitivity to new physics (involving thirdfamily of quarks and/or leptons)
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LHCb preprint hep-ex arXiv:1705.05802
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LHCb results on R(K*)
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Why semitauonic decays are interesting?
As tree level decays, they combine the advantages :
Very precise prediction from SM :R(D*) known to 2% precision, using
R(D*) =BR(BD*tn/BR-BD*mn)
Abundant channel BR(B0D*tn)=1,24%, one of the largest individual BR
Sensitivity to new physics: (simplest realization) A charged Higgs will automaticallycouple more to the t . LFU violation can also occur through other mechanisms(leptoquarks,..)
They offer several hadronisation implementations:
D*,D°,D+,Ds, Lc,J/y
Differing not only by various properties of the spectator particle but also
its spin 0 (D°,D+,Ds), 1 (D* and J/y) and ½ (Lc!!)
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H-
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R(D*) with t mnn
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R(D*) status today
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If WA is correct, 22% of the D*tn events are mediated by new physics!
http://www.slac.stanford.edu/xorg/hfag/semi/index.html
3.3 s (goes to 3.1 s if theor. error goes to 0.007)
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New ! R(D*) using t hadronic decays in 3p
Unusual features of this analysis
A semileptonic decay without (charged) lepton !!: Amusing but more importantly ZERO background from normal semileptonic
decays!!!!
The background leads to nice mass peaks and not the signal !!! Amusing but more importantly provides key handles to control the various
backgrounds Only 1 neutrino emitted at the t vertex
The complete event kinematics can be reconstructed with reasonableprecision
But very large potential background from « bread and butter » D*3p X decays; 100 times larger than the signal : A trick must be found!!
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The normal topology of a D*3pX event
THIS topologyfor D*tn events
The 4s requirement killsthe D*3pX background by ~103: the road to the treasure is open !!!
The detached vertex method
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The second gate : the double charm background
The second gate consists of B0 decays where the 3p vertex is transported awayfrom the B0 vertex by a charm carrier: Ds, D
+ or D0 (in that order of importance)
This gate is thinner :
Double Charm3pX ~10 x signal
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LHCb has three very good weapons to blow this gateaway:
3p dynamicsNeutral isolationBackground partial reconstruction
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Importance of the normalization channelB°D*3p
Normalization as similar as possible to the signal to cancel production yield, BR uncertainties and systematics linked to trigger, PID, first selection cuts
Absolute BR recently measured by BABAR with a precision of 4.3% (Phys.Rev. D94 (2016) no.9, 091101 )
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Run 1, 3 fb-1
18k events
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The importance of the « Ds-o-meter »
The Ds meson is the highest background since the W decays dominantly in Ds and the Ds
is a very rich source of 3p +X final states.
At low mass, only h and h’ (red,green) contributions are peaking
hp+p- p and h’ h p+p - M p+p - <415 MeV
At the r mass where the signal lives (ta1;a1rp), only h’ contributes (h’ rg)
Using the low BDT region, one constraints the Ds decay model to be used at high BDT
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Signal region
Signal region
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The anti-Ds BDT
A BDT is constructed to get rid of the Ds background. It contains the following variables:
3p dynamics : min(mpp), max(mpp),
B dynamics: D*3p mass
Partial reconstruction: the 4 constraints from the 2 lines of flight allows
to reconstruct fully the event in the background hypothesis (no neutrinos)
Neutral isolation : energy in a cone around the 3p direction
Very Ds enriched at low BDT, good purity for signal at high BDT
Opens the gate for search for BSM inside the events
in addition to yields measurements
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The control channels Ds, D°, and D+
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D+
ppp mass in detached topologyKpp mass
D+ peak : Anti-PID cut
D° to K 3p peak : Antisolation cut
Ds
D°
D+
Run 1, 3 fb-1
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Signal extraction
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The Ds3p control channel is used to measure the ratio of D*Ds/D*Ds*/D*Ds** and to correct for their q2
distribution
A full fit is then performedat high BDT, as a 3D template binned fit of BDT,q2 and t lifetime.
D*3p, D° background constrained by their signal in the control channels
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Systematic uncertainties
External 4,3 % from BR(B°D*3p) PDG 2016
2% from BR(B°D*mn)
Internal MC statistics
Ds,D+,D° backgrounds
Prompt B° backgrounds
Stripping, Trigger
FF and t decay model
In red : can be reduced with help from other experiments (BELLE, BES,..)
Expected overall to be larger than statistical error for the first publication (soon to come)
Room for progress exists on a longer timescale on both internal and external sources!
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Conclusion and Perspectives
Semitauonic B decays are a great tool to discover new physics : high SM precision, high rate and high sensitivity
The exceptional LHCb capability to separate secondary and tertiary vertices open up the best road to study the semi-tauonic decays of all B particles , thanks to a new method based on 3 prongs t decays.
The statistical precision on Run1 should be around6.7%, the best achieved so far for a single measurement.
The very successfull RunII data taking in 2015-2016 leads to a quadrupling of the data set
High statistics and high purity samples to search for BSM effects in the event observables
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Conclusion
Lepton Flavour universality violation appears to be nowadaysthe most promising road towards Beyond Standard Model Physics
LHCb will be the major player in the next 5 years It will improve its present measurements by a very significant factor in
the next 2 years It will add measurement of the various R() in all hadronization channels
LbLee
R(Lc), R(J/y) Intra-event searches with high purity samples
The technique s used for R(D*) will also apply to searches for direct LFV such as B Kmt
From 2020 onwards, BELLE-II will add more data More precision in BR(W tn) is also required (LHC (?), ILC..)
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