Kevin Lynch MuLan Collaboration Boston University CIPANP 2006 A new precision determination of the muon lifetime Berkeley, Boston, Illinois, ITU, James Madison, Kentucky, KVI, PSI
KRL, CIPANP, June Why measure the lifetime ? MuCap The Fermi Constant can be extracted from the free muon lifetime log(counts) time μ+μ+ μ – MuLan The lifetime difference with negative muons in hydrogen gives the nucleon pseudoscalar coupling
KRL, UIUC, 2006/05/ Time for a new measurement? 18 ppm90 ppb< 1 ppm 1 ppm Mulan Goal
KRL, CIPANP, June Experimental Concept Create a “radioactive” source ● Electrostatically chopped muon beam ● 5 ms on – 22 ms off ● Muon beams are highly polarized ● Spin depolarizing/dephasing target environment ● Minimize materials between muon source and target
KRL, CIPANP, June Experimental Concept Surround it with a positron detector Create a “radioactive” source ● High rates demand pileup reducing design ● Highly segmented, symmetric detector ● 500 MHz flash waveform digitization
KRL, CIPANP, June Experimental Concept Create a “radioactive” source Surround it with a positron detector Build decay time histogram
KRL, CIPANP, June Physics Results The 7-parameter fit function includes: ● The muon lifetime, ● A flat background, and ● An independently validated electronics oscillation (with low correlation to the lifetime) The analyzers are blind to the clock frequency
KRL, CIPANP, June Fit Consistency The fit residuals show no structure...
KRL, CIPANP, June Fit Consistency... an FFT of the residuals finds no structure...
KRL, CIPANP, June Fit Consistency... fit start and stop time scans show drift consistent with statistics... Results reported with an additional blind offset to protect analyzers from each other
KRL, CIPANP, June Fit Consistency... and a host of other variables argue for consistency of the global fit.
KRL, CIPANP, June Truth in advertising We've found at least one area of inconsistency, but we think we understand the source and are actively addressing the issue...
KRL, CIPANP, June Systematics Remain... ● Background flatness and stability ● PMT gain and timing stability ● Discriminator threshold stability ● PMT afterpulsing ● Instrumental backgrounds ● Dead time and pileup correction ● Residual Polarization and non-target stops
KRL, CIPANP, June Pileup Raw Spectrum Pileup Corrected Pileup Time Distribution Normal Time Distribution ● Same probability ● Statistically reconstruct pileup time distribution ● Correct and fit Correction large but controlled to better than statistical uncertainty
KRL, CIPANP, June Non-target stops
KRL, CIPANP, June Status ● 2004 Physics Analysis nearing completion ● Around decays in data set ● 8 ppm statistics ● Should publish this fall ● 2005 Engineering Run validated the full experimental setup and collected about decays ● 2006 Physics Run should collect about decays ● 1-2 ppm statistics
KRL, CIPANP, June
KRL, CIPANP, June A brief history... The last precision measurements are over 20 years old and ripe for improvement
KRL, CIPANP, June Fit Consistency Fits are also consistent across time...
KRL, CIPANP, June Fit Consistency... target material...
KRL, CIPANP, June Pileup Accuracy? Are we under or over correcting? Apply a scale factor to the pileup correction and measure the slope...
KRL, CIPANP, June Pileup Accuracy?... compare the zero slope crossing with the original correction; the discrepancy gives you a measure of the accuracy The pileup correction is well controlled, with a residual uncertainty well below the statistical uncertainty of the data set.