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

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, $$\langle$$D 0|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)} GeV 4 (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 D 0 mixing, finding lower limits of about 10–50×10 3 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.
Authors:
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Publication Date:
Report Number(s):
FERMILAB-PUB-17-196-T; arXiv:1706.04622
Journal ID: ISSN 2470-0010; PRVDAQ; 1605395; TRN: US1801814
Grant/Contract Number:
AC02-07CH11359; FG02-91ER40628; FC02-06ER41446; PHY13-16748; PHY14-17805; FG02-13ER41976; FG02-13ER42001; FG02-91ER40661; SC0010120; SC0010005; SC0012704; PCIG10-GA-2011-303781; PHY10-67881; PHY14-14614; PHY16-20625; SC0015655
Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); European Union (EU); National Science Foundation (NSF)
Contributing Orgs:
Fermilab Lattice and MILC Collaborations
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1423160
Alternate Identifier(s):
OSTI ID: 1423574

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., and Zhou, R.. Short-distance matrix elements for D0 -meson mixing from Nf=2+1 lattice QCD. United States: N. p., Web. doi:10.1103/PhysRevD.97.034513.
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.. Short-distance matrix elements for D0 -meson mixing from Nf=2+1 lattice QCD. United States. doi:10.1103/PhysRevD.97.034513.
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., and Zhou, R.. 2018. "Short-distance matrix elements for D0 -meson mixing from Nf=2+1 lattice QCD". United States. doi:10.1103/PhysRevD.97.034513.
@article{osti_1423160,
title = {Short-distance matrix elements for D0 -meson mixing from Nf=2+1 lattice QCD},
author = {Bazavov, A. and Bernard, C. and Bouchard, C. M. and Chang, C. C. and DeTar, C. and Du, D. and El-Khadra, A. X. and Freeland, E. D. and Gámiz, E. and Gottlieb, Steven and Heller, U. M. and Kronfeld, A. S. and Laiho, J. and Mackenzie, P. B. and Neil, E. T. and Simone, J. N. and Sugar, R. and Toussaint, D. and Van de Water, R. S. and Zhou, R.},
abstractNote = {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 Nf=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 Mπ≈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|Oi|$\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.},
doi = {10.1103/PhysRevD.97.034513},
journal = {Physical Review D},
number = 3,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}