Proton momentum and angular momentum decompositions with overlap fermions
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
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Measurement of D 0 - D ¯ 0 mixing and search for indirect C P violation using D 0 → K S 0 π + π - decays
Here, we report a measurement of D 0 - D ¯ 0 mixing parameters and a search for indirect C P violation through a time-dependent amplitude analysis of D 0 → K S 0 π + π - decays. The results are based on 921 fb - 1 of data accumulated with the Belle detector at the KEKB asymmetric-energy e + e - collider. Assuming C P conservation, we measure the mixing parameters x = ( 0.56 ± 0.19 - 0.09 - 0.09 + 0.03 + 0.06 ) % and y = ( 0.30 ± 0.15 - 0.05 - 0.06 + 0.04 + 0.03 ) % , where the errors are statistical, experimental systematic, and systematic due to the amplitude model, respectively. Lastly, with C P violation allowed, the parameters | q / p | = 0.90 - 0.15 - 0.04 - 0.05 + 0.16 + 0.05 + 0.06 and arg ( q / p ) = ( - 6 ± 11 ± 3 - 4 + 3 ) ° are found to be consistent with conservation of C P symmetry in mixing and in the interference between mixing and decay, respectively.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
$B \to \pi \ell \nu$ and $B_s \to K \ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
We calculate the form factors for B → πℓν and B s → Kℓν decay in dynamical lattice quantum chromodynamics (QCD) using domain-wall light quarks and relativistic b-quarks. We use the (2+1)-flavor gauge-field ensembles generated by the RBC and UKQCD collaborations with the domain-wall fermion action and Iwasaki gauge action. For the b-quarks we use the anisotropic clover action with a relativistic heavy-quark interpretation. We analyze data at two lattice spacings of a ≈ 0.11, 0.086 fm with unitary pion masses as light as M π ≈ 290 MeV. We simultaneously extrapolate our numerical results to the physical light-quark masses and to the continuum and interpolate in the pion/kaon energy using SU(2) “hard-pion” chiral perturbation theory for heavy-light meson form factors. We provide complete systematic error budgets for the vector and scalar form factors f + (q 2 ) and f 0 (q 2 ) for both B → πℓν and B s → Kℓν at three momenta that span the q 2 range accessible in our numerical simulations. Next we extrapolate these results to q 2 = 0 using a model-independent z-parametrization based on analyticity and unitarity. We present our final results for f + (q 2 ) and f 0 (q 2 )as the coefficients of the series in z and the matrix of correlations between them; this provides a parametrization of the form factors valid over the entire allowed kinematic range. Our results agree with other three-flavor lattice-QCD determinations using staggered light quarks, and have comparable precision, thereby providing important independent cross-checks. Both B → πℓν and B s → Kℓν decays enable determinations of the Cabibbo-Kobayashi-Maskawa matrix element |V ub |. Furthermore, we perform a combined z-fit of our numerical B → πℓν form-factor data with the experimental measurements of the branching fraction from BABAR and Belle leaving the relative normalization as a free parameter; we obtain |V ub | = 3.61(32)×10 -3 , where the error includes statistical and all systematic uncertainties. The same approach can be applied to the decay B s → Kℓν to provide an alternative determination of |V ub | once the process has been measured experimentally. In anticipation of future experimental measurements, we make predictions for B → πℓν and B s → Kℓν differential branching fractions and forward-backward asymmetries in the Standard Model.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Measurements of B → D ¯ D s 0 * + ( 2317 ) decay rates and a search for isospin partners of the D s 0 * + ( 2317 )
In this work, we report improved measurements of the product branching fractions B ( B + → D ¯ 0 D s 0 * + ( 2317 ) ) × B ( D s 0 * + ( 2317 ) → D s + π 0 ) = ( 8. 0 - 1.2 + 1.3 ± 1.1 ± 0.4 ) × 1 0 - 4 and B ( B 0 → D - D s 0 * + ( 2317 ) ) × B ( D s 0 * + ( 2317 ) → D s + π 0 ) = ( 10. 2 - 1.2 + 1.3 ± 1.0 ± 0.4 ) × 1 0 - 4 , where the first errors are statistical, the second are systematic and the third are from D and D s + branching fractions. In addition, we report negative results from a search for hypothesized neutral ( z 0 ) and doubly charged ( z + + ) isospin partners of the D s 0 * + ( 2317 ) and provide upper limits on the product branching fractions B ( B 0 → D 0 z 0 ) × B ( z 0 → D s + π - ) and B ( B + → D - z + + ) × B ( z + + → D s + π + ) that are more than an order of magnitude smaller than theoretical expectations for the hypotheses that the D s 0 * + ( 2317 ) is a member of an isospin triplet. The analysis uses a 711 fb - 1 data sample containing 772 million B B ¯ -meson pairs collected at the Υ ( 4 S ) resonance in the Belle detector at the KEKB collider.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Measurement of e + e - → π + π - ψ ( 2 S ) via initial state radiation at Belle
We report here measurement of the cross section of e + e - → π + π - ψ ( 2 S ) between 4.0 and 5.5 GeV, based on an analysis of initial state radiation events in a 980 fb - 1 data sample recorded with the Belle detector. The properties of the Y ( 4360 ) and Y ( 4660 ) states are determined. Fitting the mass spectrum of π + π - ψ ( 2 S ) with two coherent Breit-Wigner functions, we discover two solutions with identical mass and width but different couplings to electron-positron pairs: M Y ( 4360 ) = ( 4347 ± 6 ± 3 ) MeV / c 2 , Γ Y ( 4360 ) = ( 103 ± 9 ± 5 ) MeV , M Y ( 4660 ) = ( 4652 ± 10 ± 8 ) MeV / c 2 , Γ Y ( 4660 ) = ( 68 ± 11 ± 1 ) MeV ; and B [ Y ( 4360 ) → π + π - ψ ( 2 S ) ] · Γ Y ( 4360 ) e + e - = ( 10.9 ± 0.6 ± 0.7 ) eV and B [ Y ( 4660 ) → π + π - ψ ( 2 S ) ] · Γ Y ( 4660 ) e + e - = ( 8.1 ± 1.1 ± 0.5 ) eV for one solution; or B [ Y ( 4360 ) → π + π - ψ ( 2 S ) ] · Γ Y ( 4360 ) e + e - = ( 9.2 ± 0.6 ± 0.6 ) eV and B [ Y ( 4660 ) → π + π = ψ ( 2 S ) ] · Γ Y ( 4660 ) e + e - = ( 2.0 ± 0.3 ± 0.2 ) eV for the other. Here, the first errors are statistical and the second systematic. Evidence for a charged charmoniumlike structure at 4.05 GeV / c 2 is observed in the π ± ψ ( 2 S ) intermediate state in the Y ( 4360 ) decays. decays.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Standard Model Prediction for Direct C P Violation in K → π π Decay
In this paper, we report the first lattice QCD calculation of the complex kaon decay amplitude A 0 with physical kinematics, using a 32 3 x 64 lattice volume and a single lattice spacing a, with 1/a = 1.3784(68) GeV. We find Re(A 0 ) = 4.66(1.00)(1.26) x 10 -7 GeV and Im(A 0 ) = -1.90(1.23)(1.08) x 10 -11 GeV, where the first error is statistical and the second systematic. The first value is in approximate agreement with the experimental result: Re(A 0 ) = 3.3201(18) x 10 -7 GeV, while the second can be used to compute the direct CP-violating ratio Re(ϵ'/ϵ) = 1.38(5.15)(4.59) x 10 -4 , which is 2.1σ below the experimental value 16.6(2.3) x 10 -4 . Finally, the real part of A 0 is CP conserving and serves as a test of our method while the result for Re(ϵ'/ϵ) provides a new test of the standard model theory of CP violation, one which can be made more accurate with increasing computer capability.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Pinning Susceptibility: The Effect of Dilute, Quenched Disorder on Jamming
Here, we study the effect of dilute pinning on the jamming transition. Pinning reduces the average contact number needed to jam unpinned particles and shifts the jamming threshold to lower densities, leading to a pinning susceptibility, χ p . Our main results are that this susceptibility obeys scaling form and diverges in the thermodynamic limit as χ p ∝ | φ - φ c ∞ | - γ p where φ c ∞ is the jamming threshold in the absence of pins. Finite-size scaling arguments yield these values with associated statistical (systematic) errors γ p = 1.018 ± 0.026 ( 0.291 ) in d = 2 and γ p = 1.534 ± 0.120 ( 0.822 ) in d = 3 . Logarithmic corrections raise the exponent in d = 2 to close to the d = 3 value, while the systematic errors are very large.
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗
Optimal Power Flow With State Estimation in the Loop for Distribution Networks
Here in this article, we propose a framework for running optimal control-estimation synthesis in distribution networks. Our approach combines a primal-dual gradient-based optimal power flow solver with a state estimation feedback loop based on a limited set of sensors for system monitoring, instead of assuming exact knowledge of all states. The estimation algorithm reduces uncertainty on unmeasured grid states based on certain online state measurements and noisy "pseudomeasurements." We analyze the convergence of the proposed algorithm and quantify the statistical estimation errors based on a weighted least-squares estimator. The numerical results on a 4521-node network demonstrate that this approach can scale to extremely large networks and provide robustness to both large pseudomeasurement variability and inherent sensor measurement noise.
24 POWER TRANSMISSION AND DISTRIBUTION↗
Idealized simulation study of the relationship of disdrometer sampling statistics with the precision of precipitation rate measurement
Due to the discretized nature of rain, the measurement of a continuous precipitation rate by disdrometers is subject to statistical sampling errors. Here, Monte Carlo simulations are employed to obtain the precision of rain detection and rate as a function of disdrometer collection area and compared with World Meteorological Organization guidelines for a 1 min sample interval and 95 % probability. To meet these requirements, simulations suggest that measurements of light rain with rain rates R ≤ 0.50 mm h-1 require a collection area of at least 6 cm × 6 cm, and for R = 1 mm h -1 , the minimum collection area is 13 cm × 13 cm. For R = 0.01 mm h -1 , a collection area of 2 cm × 2 cm is sufficient to detect a single drop. Simulations are compared with field measurements using a new hotplate device, the Differential Emissivity Imaging Disdrometer. The field results suggest an even larger plate may be required to meet the stated accuracy, likely in part due to non-Poissonian hydrometeor clustering.
54 ENVIRONMENTAL SCIENCES↗
Global sensitivity analysis, probabilistic calibration, and predictive assessment for the data assimilation linked ecosystem carbon model
In this paper we propose a probabilistic framework for an uncertainty quantification (UQ) study of a carbon cycle model and focus on the comparison between steady-state and transient simulation setups. A global sensitivity analysis (GSA) study indicates the parameters and parameter couplings that are important at different times of the year for quantities of interest (QoIs) obtained with the data assimilation linked ecosystem carbon (DALEC) model. We then employ a Bayesian approach and a statistical model error term to calibrate the parameters of DALEC using net ecosystem exchange (NEE) observations at the Harvard Forest site. The calibration results are employed in the second part of the paper to assess the predictive skill of the model via posterior predictive checks.
54 ENVIRONMENTAL SCIENCES↗
Digital decorrelator saves time and expense in acoustic testing of structures
Instantaneous signals from coherent random sound field are summed and time delayed to avoid introducing vectorial addition errors. Resultant statistically independent signals are applied to spectrometer. Displayed sound pressure level is proportional to square root of sum of squares of sound pressure levels taken over frequency range of interest.
Nakich, R. B.↗
Mercury's perihelion advance - Determination by radar.
Measurement of echo delays of radar signals transmitted from earth to Mercury, yielding an accurate value for the advance of the latter's perihelion position. Given that the sun's gravitational quadrupole moment is negligible, the result in terms of the Eddington-Robertson parameters is (2 + 2 gamma-beta)/3 approximately equal to 1.005 plus or minus 0.007, where gamma = beta = 1 in general relativity, and where 0.007 represents the statistical standard error. Inclusion of the probable contribution of systematic errors raises the uncertainty to about 0.02.
Shapiro, I. I.↗
Statistics of the residual refraction errors in laser ranging data
A theoretical model for the range error covariance was derived by assuming that the residual refraction errors are due entirely to errors in the meteorological data which are used to calculate the atmospheric correction. The properties of the covariance function are illustrated by evaluating the theoretical model for the special case of a dense network of weather stations uniformly distributed within a circle.
Gardner, C. S.↗
GPS-aided Space Shuttle navigation
In the present paper, specific GPS (Global Positioning System) aided Shuttle navigation are presented as examples of the navigation performance prediction process. The process described is a statistical covariance error analysis. To facilitate detailing, the process is broken down into four portions with sharply limited interfaces. Considerations of mission scenarios form one distinct package of computer routines. Simulation of the onboard navigation filter is another facet of the process, as are the larger system covariance program and the GPS segment covariance simulation. The combination of these computer tools permits proper evaluation of the multitude of correlated error sources affecting GPS-aided Shuttle navigation.
Matchett, G.↗
Statistical theory for estimating sampling errors of regional radiation averages based on satellite measurements
The processes which determine the weather and climate are driven by the radiation received by the earth and the radiation subsequently emitted. A knowledge of the absorbed and emitted components of radiation is thus fundamental for the study of these processes. In connection with the desire to improve the quality of long-range forecasting, NASA is developing the Earth Radiation Budget Experiment (ERBE), consisting of a three-channel scanning radiometer and a package of nonscanning radiometers. A set of these instruments is to be flown on both the NOAA-F and NOAA-G spacecraft, in sun-synchronous orbits, and on an Earth Radiation Budget Satellite. The purpose of the scanning radiometer is to obtain measurements from which the average reflected solar radiant exitance and the average earth-emitted radiant exitance at a reference level can be established. The estimate of regional average exitance obtained will not exactly equal the true value of the regional average exitance, but will differ due to spatial sampling. A method is presented for evaluating this spatial sampling error.
Smith, G. L.↗
Compton telescope observations of gamma rays from SN 1987A
Results are reported of observations of a significant excess of gamma rays at energies of 1.0-2.5 MeV from the direction of SN 1987A, 418 days after detonation. Two features at 1.21 and 1.88 MeV are attributed to the 1.238 MeV and the combined 1.771, 2.015, and 2.035 MeV line emissions from the decay of Co-56 in the expanding ejecta with respective fluxes of (4.6 +/-1.4 +/-1.2) x 10 exp -4 and (3.5 +/-0.9 +/-0.9) x 10 exp -4 gamma/sq cm s, where the first error is statistical and the second systematic. The obtained energy resolution of 11 percent did not permit a definite separation of the 1.771-MeV line from the two other lines at 2.015 and 2.035 MeV that form the group at 1.88 MeV. The line fluxes were obtained after correcting for the north-south effect and the continuum.
Ait-Ouamer, Farid↗
Finite grid radius and thickness effects on retarding potential analyzer measured suprathermal electron density and temperature
The effect of finite grid radius and thickness on the electron current measured by planar retarding potential analyzers (RPAs) is analyzed numerically. Depending on the plasma environment, the current is significantly reduced below that which is calculated using a theoretical equation derived for an idealized RPA having grids with infinite radius and vanishingly small thickness. A correction factor to the idealized theoretical equation is derived for the Pioneer Venus (PV) orbiter RPA (ORPA) for electron gasses consisting of one or more components obeying Maxwell statistics. The error in density and temperature of Maxwellian electron distributions previously derived from ORPA data using the theoretical expression for the idealized ORPA is evaluated by comparing the densities and temperatures derived from a sample of PV ORPA data using the theoretical expression with and without the correction factor.
Knudsen, William C.↗