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Extraction of $\sin^2\theta^{\rm lept}_{\rm eff}$ and indirect measurement of $m_w$ from the 9 fb$^{-1}$ full run ii sample of $\mu^+\mu^-$ events at cdf
High Energy Physics - Experiment · Submitted 19 Sep 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We measure $\sin^2 \theta^{\rm lept}_{\rm eff} = 0.2315 \pm 0.0010$,$ \sin^2 \theta_W = 0.2233 \pm 0.0009$ and $M_W ({\rm indirect}) = 80.365 \pm 0.047 \;{\rm GeV}/c^2$, where each uncertainty includes both statistical and systematic contributions.
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The abstract, sentence by sentence
We report on the extraction of $\sin^2\theta^{\rm lept}_{\rm eff}$ and indirect measurement of the mass of the W boson from the forward-backward asymmetry of $\mu^+\mu^-$ events in the $Z$ boson mass region. The data sample collected by the CDF detector corresponds to the full 9 fb$^{-1}$ run II sample. We measure $\sin^2 \theta^{\rm lept}_{\rm eff} = 0.2315 \pm 0.0010$,$ \sin^2 \theta_W = 0.2233 \pm 0.0009$ and $M_W ({\rm indirect}) = 80.365 \pm 0.047 \;{\rm GeV}/c^2$, where each uncertainty includes both statistical and systematic contributions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We report on the extraction of $\sin^2\theta^{\rm lept}_{\rm eff}$ and indirect measurement of the mass of the W boson from the forward-backward asymmetry of $\mu^+\mu^-$ events in the $Z$ boson mass region. | contribution 1.00 | 0.96 | 0.46 | asserted 0.99 |
| s1 | The data sample collected by the CDF detector corresponds to the full 9 fb$^{-1}$ run II sample. | method 0.99 | 0.43 | 0.02 | asserted 1.00 |
| s2 | We measure $\sin^2 \theta^{\rm lept}_{\rm eff} = 0.2315 \pm 0.0010$,$ \sin^2 \theta_W = 0.2233 \pm 0.0009$ and $M_W ({\rm indirect}) = 80.365 \pm 0.047 \;{\rm GeV}/c^2$, where each uncertainty includes both statistical and systematic contributions. | result 1.00 | 0.97 | 0.90 | asserted 1.00 |
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The paper
Original abstract
We report on the extraction of $\sin^2\theta^{\rm lept}_{\rm eff}$ and indirect measurement of the mass of the W boson from the forward-backward asymmetry of $\mu^+\mu^-$ events in the $Z$ boson mass region. The data sample collected by the CDF detector corresponds to the full 9 fb$^{-1}$ run II sample. We measure $\sin^2 \theta^{\rm lept}_{\rm eff} = 0.2315 \pm 0.0010$,$ \sin^2 \theta_W = 0.2233 \pm 0.0009$ and $M_W ({\rm indirect}) = 80.365 \pm 0.047 \;{\rm GeV}/c^2$, where each uncertainty includes both statistical and systematic contributions.
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Papers whose main result relates to this one's
States the same result 2 papers
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We measure $\sin^2 \theta^{\rm lept}_{\rm eff} = 0.2315 \pm 0.0010$, $ \sin^2 \theta_W = 0.2233 \pm 0.0009$ and $M_W ({\rm indirect}) = 80.365 \pm 0.047 \;{\rm GeV}/c^2$, where each uncertainty includes both statistical and systematic contributions.
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When interpreted within the context of the standard model using the on-shell renormalization scheme, where $\sin^2 \theta_W = 1 - M_W^2/M_Z^2$, the measurement yields $\sin^2 \theta_W$ = 0.2233 +- 0.0009, or equivalently a W-boson mass of 80.365 +- 0.047 GeV/c^2.
What it cites
Uses the method or tool of 4 papers
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The raw $A_fb$ in bins of invariant is unfolded [ref] for resolution smearing and FSR using a transfer matrix which is obtained from the Monte Carlo simulation.
Indirect measurement of $\sin^2 \theta_W$ (or $M_W$) using $\mu^+\mu^-$ pairs from $\gamma^*/Z$ bosons produced in $p\bar{p}$ collisions at a center-of-momentum energy of 1.96 TeV · Analysis of CDF $μ^+μ^-$ full 9 fb$^-1$ run II sample · 0.85
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Precise extractions of $sin^2θ^lept_eff$and $sin^2θ_W= 1 - M_W^2/M_Z^2$ using the forward-backward asymmetry ($A_fb$) of dilepton events produced in p$p̅$ and pp collisions are now possible for the first time because of three new innovations: * The use a new technique [ref] for calibrating the muon energy scale as a function of detector $η$ and $ϕ$ (and sign), thus greatly reducing systematic errors from the energy scale.
Extracting Muon Momentum Scale Corrections for Hadron Collider Experiments · Introduction · 0.99
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* The implementation [ref] of Z fitter electroweak radiative corrections into the theory predictions of POWHEG and RESBOS which
Indirect measurement of $sin^2\theta_W$ (M_W) using e+e- pairs in the Z-boson region with $p\bar{p}$ collisions at a center-of-momentum energy of 1.96 TeV · Introduction · 0.95
Uses data or values from 1 paper
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We report on the published analysis of the full 9 fb$^-1$ run II $μ^+μ^-$ data sample [ref] collected by the CDF detector.
Indirect measurement of $\sin^2 \theta_W$ (or $M_W$) using $\mu^+\mu^-$ pairs from $\gamma^*/Z$ bosons produced in $p\bar{p}$ collisions at a center-of-momentum energy of 1.96 TeV · Analysis of CDF $μ^+μ^-$ full 9 fb$^-1$ run II sample · 0.84
Compares with 1 paper
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Also shown is the most recent (Aug. 2014) value [ref] of $sin^2 θ^lept_eff$ extracted from the full 9.7 fb$^-1$ run II $e^+e^-$ sample in D0 [ref] (0.2315 $±$ 0.0005).
Measurement of the effective weak mixing angle in $p\bar{p}\rightarrow Z/\gamma^{*}\rightarrow e^{+}e^{-}$ events · Summary of results from the 9 fb$^-1$ $μ^+μ^-$ sample · 0.82
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