Short-distance matrix elements for D-meson mixing for 2+1 flavor lattice QCD
Chang, Chia Cheng
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https://hdl.handle.net/2142/78432
Description
Title
Short-distance matrix elements for D-meson mixing for 2+1 flavor lattice QCD
Author(s)
Chang, Chia Cheng
Issue Date
2015-04-23
Director of Research (if dissertation) or Advisor (if thesis)
El-Khadra, Aida
Doctoral Committee Chair(s)
Stone, Michael
Committee Member(s)
Kronfeld, Andreas
Pitts, Kevin
Ryu, Shinsei
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
lattice quantum chromodynamics (QCD)
D-meson mixing
flavor physics
Abstract
"We study the short-distance hadronic matrix elements for $D$-meson mixing with partially quenched $N_f=2+1$ lattice QCD. We use a large set of the MIMD Lattice Computation Collaboration's gauge configurations with $a^2$ tadpole-improved staggered sea quarks and tadpole-improved L\""uscher-Weisz gluons. We use the $a^2$ tadpole-improved action for valence light quarks and the Sheikoleslami-Wohlert action with the Fermilab interpretation for the valence charm quark. Our calculation covers the complete set of five operators needed to constrain new physics models for $D$-meson mixing. We match our matrix elements to the $\overline{\text{MS}}$-NDR scheme evaluated at 3GeV. We report values for the Beneke-Buchalla-Greub-Lenz-Nierste choice of evanescent operators and obtain
\begin{align}
\left<\mathcal{O}_1\right>/m_D=& 0.042(4)\text{GeV}^3, \nonumber \\
\left<\mathcal{O}_2\right>/m_D=& -0.078(4)\text{GeV}^3, \nonumber \\
\left<\mathcal{O}_3\right>/m_D=& 0.033(2)\text{GeV}^3, \nonumber \\
\left<\mathcal{O}_4\right>/m_D=& 0.155(10)\text{GeV}^3, \nonumber \\
\left<\mathcal{O}_5\right>/m_D=& 0.058(6)\text{GeV}^3.\nonumber
\end{align}"
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