Short-distance matrix elements for D 0 -meson mixing from N f = 2 + 1 lattice QCD

Bazavov, A.; Bernard, C.; Bouchard, C. M.; Chang, C. C.; DeTar, C.; Du, D.; El-Khadra, A. X.; Freeland, E. D.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Kronfeld, A. S.; Laiho, J.; Mackenzie, P. B.; Neil, E. T.; Simone, J. N.; Sugar, R.; Toussaint, D.; Van de Water, R. S.; Zhou, R.

doi:10.1103/PhysRevD.97.034513

Title: Short-distance matrix elements for $D^{0}$ -meson mixing from $N_{f} = 2 + 1$ lattice QCD

Journal Article · Wed Feb 28 00:00:00 EST 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.034513· OSTI ID:1423160

Bazavov, A.; Bernard, C.; Bouchard, C. M.; Chang, C. C.; DeTar, C.; Du, D.; El-Khadra, A. X.; Freeland, E. D.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Kronfeld, A. S.; Laiho, J.; Mackenzie, P. B.; Neil, E. T.; Simone, J. N.; Sugar, R.; Toussaint, D.; Van de Water, R. S.; Zhou, R.

We calculate in three-flavor lattice QCD the short-distance hadronic matrix elements of all five ΔC=2 four-fermion operators that contribute to neutral D-meson mixing both in and beyond the Standard Model. We use the MILC Collaboration’s N_f=2+1 lattice gauge-field configurations generated with asqtad-improved staggered sea quarks. We also employ the asqtad action for the valence light quarks and use the clover action with the Fermilab interpretation for the charm quark. We analyze a large set of ensembles with pions as light as M_π≈180 MeV and lattice spacings as fine as a≈0.045 fm, thereby enabling good control over the extrapolation to the physical pion mass and continuum limit. We obtain for the matrix elements in the $$\overline{MS}$$-NDR scheme using the choice of evanescent operators proposed by Beneke et al., evaluated at 3 GeV, $$\langle$$D⁰|O_i|$$\bar{D}$$⁰ $$\rangle$$={0.0805(55)(16),-0.1561(70)(31),0.0464(31)(9),0.2747(129)(55),0.1035(71)(21)} GeV⁴ (i=1–5). The errors shown are from statistics and lattice systematics, and the omission of charmed sea quarks, respectively. To illustrate the utility of our matrix-element results, we place bounds on the scale of CP-violating new physics in D⁰ mixing, finding lower limits of about 10–50×10³ TeV for couplings of O(1). To enable our results to be employed in more sophisticated or model-specific phenomenological studies, we provide the correlations among our matrix-element results. For convenience, we also present numerical results in the other commonly used scheme of Buras, Misiak, and Urban.

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Research Organization:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); European Union (EU); National Science Foundation (NSF)

Contributing Organization:: Fermilab Lattice and MILC Collaborations

Grant/Contract Number:: FG02-91ER40628; FC02-06ER41446; SC0010120; SC0010005; FG02-91ER40661; FG02-13ER42001; SC0015655; FG02-13ER41976; SC0012704; AC02-07CH11359; PHY13-16748; PHY14-17805; PCIG10-GA-2011-303781; PHY10-67881; PHY14-14614; PHY16-20625

OSTI ID:: 1423160

Alternate ID(s):: OSTI ID: 1423574

Report Number(s):: FERMILAB-PUB-17-196-T; arXiv:1706.04622; PRVDAQ; 034513

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 3; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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Opportunities for Lattice QCD in quark and lepton flavor physics Lehner, Christoph; Meinel, Stefan; Blum, Tom The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12891-2	journal	November 2019

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