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This summary discusses the systematic errors prevalent in CP measurements, focusing on time-dependent rate asymmetries and their dependence on unitarity angles. It highlights contributions from multiple CKM amplitudes and stresses the importance of flavor tagging at production and decay stages. The document outlines various categories of systematic errors including production asymmetries, mistag rates, and backgrounds. It also delves into theoretical uncertainties, primarily when hadronic effects don't cancel, leading to CP violation patterns beyond the Standard Model, as presented by H. Evans at the Columbia D0 Snowmass Meeting.
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Exp. Systematic Errors Most CP measurements use time-dep rate asymmetries • adir,mix = func’s of unitarity angles • + 4-quark operators if decay has contrib from >1 CKM amplitude • requires tagging flavor of B at production & decay • robust to 1st order in exp. unknowns Understand w/ Control Samples Categories of Syst. Error • Generally, difference in B & B-bar hadrons • Production Asymmetries • Tagging Efficiencies • Mistag Rates • Final State Acceptance • Backgrounds Columbia D0 Snowmass Meeting - H.Evans
+ W+ u - d W+ + u u,c,t K+ g + W+ d - u d u d K0 B+ 0 u d Theoretical Uncertainties • Mainly when hadronic effects don’t cancel in ratio • introduce depend. on hadr. matrix elem’s (4-q op’s) • occur when >1 diagrams contribute to decay • Penguins • calc. |P/T| • Strong Phases • + • Final State Interactions • very hard to calc Columbia D0 Snowmass Meeting - H.Evans
Mode by Mode Breakdown Columbia D0 Snowmass Meeting - H.Evans
Beyond the SM Beyond the SM effects: • Large?: Mixing, Penguins • Small: Tree level decays CP Violation in Decays with & without Mixing • Bd J/Ks sin 2 sin (2 + mix) • Bd Ks sin 2 sin (2 + mix + pen) • K K(meas) ~ 10-3 • D K mixing effect (~0 in SM) • EDMs Flavor diagonal CP violation (~0 in SM) Supersymmetric Models • In general 43 CP violating phases (c.f. 1 in SM) • CP violation sensitive to (flavor) & (soft-susy-breaking) • F >> S No new sources of flavor & CP violation • F < S Flavor & CP violation beyond CKM Columbia D0 Snowmass Meeting - H.Evans
Beyond the SM Effects* * stolen shamelessly from: Y. Nir, “CP Violation in and Beyond the SM” hep-ph/9911321 Columbia D0 Snowmass Meeting - H.Evans