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28 March 2024
 
  » arxiv » 1410.1607

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Application of the Principle of Maximum Conformality to the Top-Quark Charge Asymmetry at the LHC
Sheng-Quan Wang ; Xing-Gang Wu ; Zong-Guo Si ; Stanley J. Brodsky ;
Date 7 Oct 2014
AbstractThe Principle of Maximum Conformality (PMC) provides a systematic and process-independent method to derive renormalization scheme- and scale- independent fixed-order pQCD predictions. In Ref.[19], we studied the top-quark charge asymmetry at the Tevatron up to next-to-next-to-leading order (NNLO). By applying the PMC, we have shown that the large discrepancies for the top-quark charge asymmetry between the Standard Model estimate and the CDF and D0 data is greatly reduced. In the present paper, with the help of the Bernreuther-Si program, we present a detailed PMC analysis on the top-quark charge asymmetry up to NNLO level at the LHC. After applying PMC scale setting, the pQCD prediction for the top-quark charge asymmetry at the LHC has very small scale uncertainty; e.g., $A_{ m C}|_{ m 7 TeV;PMC} =left(1.15^{+0.01}_{-0.03} ight)\%$, $A_{ m C}|_{ m 8 TeV;PMC} =left(1.03^{+0.01}_{+0.00} ight)\%$, and $A_{ m C}|_{ m 14 TeV;PMC} =left(0.62^{+0.00}_{-0.02} ight)\%$. The corresponding predictions using conventional scale setting are: $A_{ m C}|_{ m 7 TeV;Conv.} =left(1.23^{+0.14}_{-0.14} ight)\%$, $A_{ m C}|_{ m 8 TeV;Conv.} =left(1.11^{+0.17}_{-0.13} ight)\%$, and $A_{ m C}|_{ m 14 TeV;Conv.} =left(0.67^{+0.05}_{-0.05} ight)\%$. In these predictions, the scale errors are predicted by varying the initial renormalization and factorization scales in the ranges $mu^{ m init}_rin[m_t/2,2m_t]$ and $mu_fin[m_t/2,2m_t]$. The PMC predictions are also in better agreement with the available ATLAS and CMS data. In addition, we have calculated the top-quark charge asymmetry assuming several typical cuts on the top-pair invariant mass $M_{tar{t}}$. For example, assuming $M_{tar{t}}>0.5 ~ { m TeV}$ and $mu_f=mu^{ m init}_r =m_t$, we obtain $A_{ m C}|_{ m 7 TeV;PMC}=2.67\%$, $A_{ m C}|_{ m 8 TeV;PMC}=2.39\%$, and $A_{ m C}|_{ m 14 TeV;PMC}=1.28\%$.
Source arXiv, 1410.1607
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