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WChPT analysis of twisted mass lattice data

Abstract.

We perform a Wilson Chiral Perturbation Theory (WChPT) analysis of quenched twisted mass lattice data. The data were generated by two independent groups with three different choices for the critical mass. For one choice, the so-called pion mass definition, one observes a strong curvature for small quark masses in various mesonic observables (“bending phenomenon”). Performing a combined fit to the next-to-leading (NLO) expressions, we find that WChPT describes the data very well and the fits provide very reasonable values for the low-energy parameters.

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References

  1. R. Frezzotti, S. Sint, P. Weisz, JHEP 07, 048 (2001).

    Article  ADS  Google Scholar 

  2. R. Frezzotti, P.A. Grassi, S. Sint, P. Weisz, JHEP 08, 058 (2001).

    Google Scholar 

  3. R. Frezzotti, G.C. Rossi, JHEP 08, 007 (2004).

    Article  ADS  Google Scholar 

  4. R. Frezzotti, G.C. Rossi, JHEP 10, 070 (2004).

    Article  ADS  Google Scholar 

  5. R. Frezzotti, G. Rossi, hep-lat/0507030.

  6. A. Shindler, PoS (LAT2005) 014 (2005).

  7. W. Bietenholz, JHEP 12, 044 (2004).

    Article  ADS  Google Scholar 

  8. A.M. Abdel-Rehim, R. Lewis, R.M. Woloshyn, Phys. Rev. D 71, 094505 (2005).

    Article  ADS  Google Scholar 

  9. K. Jansen, Phys. Lett. B 619, 184 (2005).

    Article  ADS  Google Scholar 

  10. K. Jansen, JHEP 09, 071 (2005).

    ADS  Google Scholar 

  11. A.M. Abdel-Rehim, R. Lewis, R.M. Woloshyn, J.M.S. Wu, Phys. Rev. D 74, 014507 (2006).

    Article  ADS  Google Scholar 

  12. R. Frezzotti, G. Martinelli, M. Papinutto, G.C. Rossi, JHEP 04, 038 (2006).

    Article  ADS  Google Scholar 

  13. S. Aoki, O. Bär, Phys. Rev. D 70, 116011 (2004).

    Article  ADS  Google Scholar 

  14. S.R. Sharpe, Phys. Rev. D 72, 074510 (2005).

    Article  ADS  Google Scholar 

  15. S. Aoki, O. Bär, hep-lat/0604018.

  16. O. Bär, Nucl. Phys. Proc. Suppl. 140, 106 (2005).

    Article  ADS  Google Scholar 

  17. S.R. Sharpe, hep-lat/0607016.

  18. S. Aoki, O. Bär, PoS (LAT2005) 046 (2005).

  19. G. Münster, C. Schmidt, Europhys. Lett. 66, 652 (2004).

    Article  ADS  Google Scholar 

  20. L. Scorzato, Eur. Phys. J. C 37, 445 (2004).

    Article  ADS  Google Scholar 

  21. S.R. Sharpe, J.M.S. Wu, Phys. Rev. D 71, 074501 (2005).

    Article  ADS  Google Scholar 

  22. C.W. Bernard, M.F.L. Golterman, Phys. Rev. D 46, 853 (1992).

    Article  ADS  Google Scholar 

  23. S.R. Sharpe, Phys. Rev. D 46, 3146 (1992).

    Article  ADS  Google Scholar 

  24. H. Wittig, Nucl. Phys. Proc. Suppl. 119, 59 (2003).

    MATH  Article  ADS  Google Scholar 

  25. S.R. Sharpe, J. Singleton, Robert, Phys. Rev. D 58, 074501 (1998).

    Article  ADS  Google Scholar 

  26. J. Heitger, R. Sommer, H. Wittig, Nucl. Phys. B 588, 377 (2000).

    Article  ADS  Google Scholar 

  27. F. Farchioni, I. Montvay, E. Scholz, Eur. Phys. J. C 37, 197 (2004).

    ADS  Article  Google Scholar 

  28. S. Aoki, Phys. Rev. D 68, 054508 (2003).

    Article  ADS  MathSciNet  Google Scholar 

  29. Y. Namekawa, Phys. Rev. D 70, 074503 (2004).

    Article  ADS  Google Scholar 

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Aoki, S., Bär, O. WChPT analysis of twisted mass lattice data. Eur. Phys. J. A 31, 781–783 (2007). https://doi.org/10.1140/epja/i2006-10202-x

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  • DOI: https://doi.org/10.1140/epja/i2006-10202-x

PACS.

  • 12.38.Gc Lattice QCD calculations
  • 11.15.Ha Lattice gauge theory