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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 | Abstract: | The 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 | Services: | Forum | Review | PDF | Favorites |
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