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Discover the fascinating world of flavour physics through a conference talk at LHCb Lyon in 2013. Explore the intricacies of particle interactions, systematics, triggering systems, and search for New Physics. Dive into the dynamics of neutral Bs mesons and the complexities of angular observables.
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Shaking Penguins & Boxes at LHCb Lyon, le 30 Octobre 2013 Yasmine Amhis LAL, OrsayFrance If you have questions : amhis@lal.in2p3.fr
Sometimes this is how a flavour physics talk in a conference sounds like…
Le Questionnaire de Proust What is the Process ? A tree, a penguin ? What is the observable ? What does it probe ? SM, NP, QCD ? What is the statistics? Is it a rare decay ? What is the topology ? Are you ever going to see it? What about the systematics? Do we really care about it ?
Let’s start shaking things Apologies, I won’t have time to discuss the other experiments….
LHC a Flavour Factory • Large cross sections @ 7 TeV : • σinelpp ~ 60 mb [JINST 7 (2012) P01010 • σinel(pp charm)~ 6 mb [LHCb-CONF-2010-013] • σinel(pp beauty )~ 0.3 mb [PLB 694 (2010) 209] In high energy collisions, bb/cc pairs are produced predominantly in the forward or backward directions Initial motivation for the design
Tracking • Proper time measurement : • Identify b-hadrons (cτ ~ 450 μm) , also in the trigger • Perform time dependent analyses. VELO 21 modules r-φ sensors • Invariant mass measurement : • Identify the signal (Bd and Bs are only 90 MeV apart) • Separate signal from background active zone : 8mm from the LHC beam : retractable Δp/p ~ 0.4 %
Particle ID 10
Trigger System in 2012 1/200 eventscontain B hadrons → we have to select onlythese! Hardware: High PT signals in calo and muon systems Software: partial reconstruction Software: global reconstruction (very close to offline)
Indirect Searches – Model Independent Searches Four examples of how to look for New Physics How can New Physics affect a frequency? How can New Physics affect a phase ? How can New Physics enhance a suppressed decay ? How can New Physics affect angular observables ?
Boxe diagram Neutral Bs meson
Boxe diagram Neutral Bs meson
Boxe diagrams Neutral Bs meson Time Evolution : Diagonalizing this Hamiltonian leads to two mass eigenstates with masses MH(L) and decay width ΓH(L)
The B0(s) neutral system Time Evolution Δms = MH – ML, ΔΓs = ΓH – ΓL, Γs = (ΓL+ΓH)/2
Phases phases • Measure relative phase difference • ϕs=ϕM − 2ϕD between two “legs/paths/routes”. • In SM + Ignoring penguins • ϕD~ 0 • ϕsSM~ϕM • is predominantly determined by arg(Vts) • is predicted to be small ~ -0.04 • [Charles et al. Phys. Rev. D84 (2011) 033005] • New Physics (NP) can add large phases: ϕs = ϕsSM+ϕsNP
Theoretically : • b→ccs tree dominance leads to precise prediction of ϕs in SM. • SP → VV, admixture of CP-odd and CP-even states, measure also ΔΓs. • Experimentally : • Relatively large branching ratio. • Easy to trigger on muons from J/ψ → μ+μ-. • The Observables • 3 “P-wave” amplitudes of KK system ( A0, Aperp, Apara) • 1 “S-wave” amplitude (As) • 10 terms with all the interferences (see the next slide) • ϕs, ΔΓs, , Γs…
How we work together ? Angles Mass Time Flavour Tagging
A few more words Time dependent Angular terms
A few more words Time dependent Angular terms
La Sainte Trinité du jour ϕs ΔΓs Γs
Event selection Simple cut based selection kinematics + particle identification Attempts to use MVA, but no significant improvement was observed
Selection Results About 28 000 signal events with very high purity !
Trigger Acceptance(*) “Unbiased” “Very biased” (*) C’estquandmêmeune machine hadronique !
Mode acceptances on the decay time Corrections needed: Track Reconstruction Online and Offline Vertexing φand PV • Total systematic error on the lifetime is 8.7 fs . • Main effect due to the track reconstruction in the Velo. • Partly due to the limited size of the control sample.
Decay time resolution sWeights extracted from J/ψ mass sWeights extracted from J/ψ mass fit • We measure from data using prompt J/ψ which decay at • t = 0 ps triggered with the unbiased triggers. • Model is a triple Gaussian. • Width is found to be about 45 fs.
Angles and their acceptances Forward geometry of LHCb + selections cuts : distorted angular acceptance Determined using MC
Flavour Tagging Time dependent CP asymmetry needs to identify the initial flavour of reconstructed Bs0 mesons (initial state a b or b quark). Compare this to e+e- colliders: eD2 ~ 30%
Dmsfrom Bs → Dsp+ • Very high statistics • Low background level • Can resolve Bs mixing frequency due to high boost Use flavour tagging to determine flavour at production, pion charge for flavour at decay
How can New Physics affect a Phase? CKM Elements QCD corrections Input from Lattice Short Distance Contributions
Sticking all the pieces together Results II ΔΓs > 0 and Φscompatible with SM – oh well !
The Event ! Example of a blind analysis
A very rare FCNC b μ ? μ s
A very rare FCNC b μ ? μ s
How do wemeasure a BR ? Number of observed decay Efficiency Integrated luminosity bb cross section Fraction of b quarks that hadronize into a Bs Have large systematic errors
How do wemeasure a BR ? The trick is to normalizewith respect to anotherdecaywith a verywellknown BR: Most of systematicuncertainties cancel in the ratio of efficiency This cancellationisvery efficient if you have a normalizationchannelsimilar to your signal and selected in the sameway!