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Article overview
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Reduction of PDF uncertainty in the measurement of the weak mixing angle at the ATLAS experiment | Yao Fu
; Siqi Yang
; Minghui Liu
; Liang Han
; Tie-Jiun Hou
; Carl Schmidt
; Chen Wang
; C.-P. Yuan
; | Date: |
10 Aug 2020 | Abstract: | We investigate the parton distribution function (PDF) uncertainty in the
measurement of the effective weak mixing angle
$sin^2 heta_{ ext{eff}}^{ell}$ at the CERN Large Hadron Collider (LHC). The
PDF-induced uncertainty is large in the proton-proton collisions at the LHC due
to the dilution effect. The measurement of the Drell-Yan forward-backward
asymmetry ($A_{FB}$) at the LHC can be used to reduce the PDF uncertainty in
the $sin^2 heta_{ ext{eff}}^{ell}$ measurement. However, when including the
full mass range of lepton pairs in the $A_{FB}$ data analysis, the correlation
between the PDF updating procedure and the $sin^2 heta_{ ext{eff}}^{ell}$
extraction leads to a sizable bias in the obtained
$sin^2 heta_{ ext{eff}}^{ell}$ value. From our studies, we find that the
bias can be significantly reduced by removing Drell-Yan events with invariant
mass around the $Z$ pole region, while most of the sensitivity in reducing the
PDF uncertainty remains. Furthermore, the lepton charge asymmetry in the $W$
boson events as a function of the rapidity of the charged leptons,
$A_pm(eta_ell)$, is known to be another observable which can be used to
reduce the PDF uncertainty in the $sin^2 heta_{ ext{eff}}^{ell}$
measurement. The constraint from $A_pm(eta_ell)$ is complementary to that
from the $A_{FB}$, thus no bias affects the $sin^2 heta_{ ext{eff}}^{ell}$
extraction. The studies are performed using the Error PDF Updating Method
Package ({sc ePump}), which is based on the Hessian updating methods. In this
article, the CT14HERA2 PDF set is used as an example. | Source: | arXiv, 2008.03853 | Services: | Forum | Review | PDF | Favorites |
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