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Have we seen Local Parity Violation at RHIC?. Introduction What the present data tell us Alternative observable. Based on: Adam Bzdak, VK and Jinfeng Liao, PRC81 031901(R) (2010), [arXiv:0912.5050] J. Liao, VK, and Adam Bzdak, in preparation. CPT is in good shape. C.
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Have we seen Local Parity Violation at RHIC? Introduction What the present data tell us Alternative observable Based on: Adam Bzdak, VK and Jinfeng Liao, PRC81 031901(R) (2010), [arXiv:0912.5050] J. Liao, VK, and Adam Bzdak, in preparation
CPT is in good shape C onjecture P ress Release T hink
The basic observable Py (out-of-plane) Y (out-of-plane) B current Px (in-plane) X (in-plane) Momentum space Coordinate space Charge Separation or Electric Dipole in Pt Space (along out-of-plane direction) Complications: • hard to identify direction of magnetic field (reaction plane)P. E-by-E • Direction of dipole either parallel OR anti-parallel to magnetic field → only variance of parity-odd operator can be observed
The STAR measurement(a closer look) Concentrate on same sign pairs for the moment Py(out-of-plane) Set + + Px(in-plane) for both configurations Py(out-of-plane) + + Px(in-plane) How to distinguish?
The STAR measurement(which not so many discuss) Add to the mix Py(out-of-plane) + + Px(in-plane) opp. sign. Py(out-of-plane) same sign + + Px(in-plane) Data favor in-plane back-to-back correlation
Using simple math Same Charge out-of-plane STAR measures for same sign pairs in Au+Au: in-plane Therefore: opp. Charge No out-of-plane correlation for same charge pairs Opposite charge: out-of-plane in-plane
Bout, Bin = Background (in and out of plane) P = Parity violating signal The argument in the STAR papers: Thus: The data show Thus existence of CME would require: • “Juuuuust right scenario” a.k.a fine tuning !!! • We need to understand the background • We need differential information on
How realistic is the assumption ? Implies: “background” correlations are independent of reaction plane Two particle density: Reaction plane dependence always enters via v2 ! Pt – and eta dependence of v2 needs to be taken into account Prominent example: HBT with respect to the reaction plane Sources discussed in context of CME: Clusters (STAR, F. Wang), Resonances (STAR), .Anomaly (Asakawa et al)...
Pt-dependence Correlated pairs are only moderately harder than thermal pairs
Alternative observable Reaction plane angle Quadrupole moment Charged dipole moment Charged dipole angle
Correlations can lead to similar dipole angel; but reduce magnitude
Summary Data favor in-plane back-to-back correlation for same charge CME predicts out of plane Presence of CME requires fine-tunining: Background = - CME ? Need differential information on Be aware that pt- and eta dependencemay be differernt Alternative observable: measure charge dipole (orientation and magnitude) How about proton-proton???? Py(out-of-plane) + + Px(in-plane)
Conclusion NO definitive evidence for local parity violation! Yet !?