Skip to main content
SpringerLink
Log in

Exclusive processes in position space and the pion distribution amplitude

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We suggest to carry out lattice calculations of current correlators in position space, sandwiched between the vacuum and a hadron state (e.g. pion), in order to access hadronic light-cone distribution amplitudes (DAs). In this way the renormalization problem for composite lattice operators is avoided altogether, and the connection to the DA is done using perturbation theory in the continuum. As an example, the correlation function of two electromagnetic currents is calculated to the next-to-next-to-leading order accuracy in perturbation theory and including the twist-four corrections. We argue that this strategy is fully competitive with direct lattice measurements of the moments of the DA, defined as matrix elements of local operators, and offers new insight in the space-time picture of hard exclusive reactions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A.P. Bakulev, S.V. Mikhailov, N.G. Stefanis, Phys. Lett. B 508, 279 (2001) [hep-ph/0103119]

    Article  ADS  Google Scholar 

  2. A.P. Bakulev, S.V. Mikhailov, N.G. Stefanis, Phys. Lett. B 590, 309 (2004) [Erratum]

    Article  ADS  Google Scholar 

  3. A.P. Bakulev, S.V. Mikhailov, Phys. Rev. D 65, 114511 (2002) [hep-ph/0203046]

    Article  ADS  Google Scholar 

  4. V.M. Braun et al., Phys. Rev. D 74, 074501 (2006) [hep-lat/0606012]

    Article  ADS  Google Scholar 

  5. A. Schmedding, O.I. Yakovlev, Phys. Rev. D 62, 116002 (2000) [hep-ph/9905392]

    Article  ADS  Google Scholar 

  6. A.P. Bakulev, S.V. Mikhailov, N.G. Stefanis, Phys. Rev. D 67, 074012 (2003) [hep-ph/0212250]

    Article  ADS  Google Scholar 

  7. V.L. Chernyak, A.R. Zhitnitsky, Nucl. Phys. B 201, 492 (1982)

    Article  ADS  Google Scholar 

  8. V.L. Chernyak, A.R. Zhitnitsky, Nucl. Phys. B 214, 547 (1983) [Erratum]

    Article  Google Scholar 

  9. W. Detmold, C.J. Lin, Phys. Rev. D 73, 014501 (2006) [hep-lat/0507007]

    Article  ADS  Google Scholar 

  10. T. Schafer, E.V. Shuryak, Phys. Rev. D 54, 1099 (1996) [hep-ph/9512384]

    Article  ADS  Google Scholar 

  11. V. Braun, P. Gornicki, L. Mankiewicz, Phys. Rev. D 51, 6036 (1995) [hep-ph/9410318]

    Article  ADS  Google Scholar 

  12. U. Aglietti, M. Ciuchini, G. Corbo, E. Franco, G. Martinelli, L. Silvestrini, Phys. Lett. B 441, 371 (1998) [hep-ph/9806277]

    Article  ADS  Google Scholar 

  13. A. Abada, P. Boucaud, G. Herdoiza, J.P. Leroy, J. Micheli, O. Pene, J. Rodriguez-Quintero, Nucl. Phys. Proc. Suppl. 106, 338 (2002) [hep-lat/0110181]

    Article  ADS  Google Scholar 

  14. J. Polchinski, M.J. Strassler, JHEP 0305, 012 (2003) [hep-th/0209211]

    Article  ADS  MathSciNet  Google Scholar 

  15. S.J. Brodsky, G.F. de Teramond, Phys. Lett. B 582, 211 (2004) [hep-th/0310227]

    Article  ADS  Google Scholar 

  16. A.P. Bakulev, S.V. Mikhailov, N.G. Stefanis, Phys. Rev. D 73, 056002 (2006) [hep-ph/0512119]

    Article  ADS  Google Scholar 

  17. V.M. Braun, G.P. Korchemsky, D. Müller, Prog. Part. Nucl. Phys. 51, 312 (2003) [hep-ph/0306057]

    Article  ADS  Google Scholar 

  18. F.D. Aguila, M. Chase, Nucl. Phys. B 193, 517 (1981)

    Article  ADS  Google Scholar 

  19. E. Braaten, Phys. Rev. D 28, 524 (1983)

    Article  ADS  Google Scholar 

  20. E. Kadantseva, S. Mikhailov, A. Radyushkin, Sov. J. Nucl. Phys. 44, 326 (1986)

    Google Scholar 

  21. F.M. Dittes, A.V. Radyushkin, Phys. Lett. B 134, 359 (1984)

    Article  ADS  Google Scholar 

  22. M.H. Sarmadi, Phys. Lett. B 143, 471 (1984)

    Article  ADS  Google Scholar 

  23. S.V. Mikhailov, A.V. Radyushkin, Nucl. Phys. B 254, 89 (1985)

    Article  ADS  Google Scholar 

  24. D. Müller, Phys. Rev. D 49, 2525 (1994)

    Article  ADS  Google Scholar 

  25. B. Melić, B. Nižić, K. Passek, Phys. Rev. D 65, 053020 (2002) [hep-ph/0107295]

    Article  ADS  Google Scholar 

  26. D. Müller, Phys. Rev. D 58, 054005 (1998) [hep-ph/9704406]

    Article  ADS  Google Scholar 

  27. A. Belitsky, D. Müller, Phys. Lett. B 417, 129 (1997) [hep-ph/9709379]

    ADS  Google Scholar 

  28. M. Diehl, P. Kroll, C. Vogt, Eur. Phys. J. C 22, 439 (2001) [hep-ph/0108220]

    Article  ADS  Google Scholar 

  29. B. Melić, D. Müller, K. Passek-Kumerički, Phys. Rev. D 68, 014013 (2003) [hep-ph/0212346]

    Article  ADS  Google Scholar 

  30. E.B. Zijlstra, W.L. van Neerven, Nucl. Phys. B 383, 525 (1992)

    Article  ADS  Google Scholar 

  31. S. Larin, J. Vermaseren, Phys. Lett. B 259, 345 (1991)

    Article  ADS  Google Scholar 

  32. D. Müller, Phys. Rev. D 51, 3855 (1995) [hep-ph/9411338]

    Article  ADS  Google Scholar 

  33. D. Müller, Phys. Rev. D 59, 116003 (1999) [hep-ph/9812490]

    Article  ADS  Google Scholar 

  34. P. Ball, V.M. Braun, A. Lenz, JHEP 05, 004 (2006) [hep-ph/0603063]

    Article  ADS  Google Scholar 

  35. V. Braun, I. Filyanov, Z. Phys. C 48, 239 (1990)

    Article  Google Scholar 

  36. S. Bethke, J. Phys. G 26, R27 (2000) [hep-ex/0004021]

    Article  ADS  Google Scholar 

  37. K.G. Chetyrkin, J.H. Kuhn, M. Steinhauser, Comput. Phys. Commun. 133, 43 (2000) [hep-ph/0004189]

    Article  ADS  MATH  Google Scholar 

  38. E. Floratos, D. Ross, C. Sachrajda, Nucl. Phys. B 129, 66 (1977)

    Article  ADS  Google Scholar 

  39. E. Floratos, D. Ross, C. Sachrajda, Nucl. Phys. B 139, 545 (1978) [Erratum]

    Article  Google Scholar 

  40. A. Retey, J. Vermaseren, Nucl. Phys. B 604, 281 (2001) [hep-ph/0007294]

    Article  ADS  Google Scholar 

  41. E. Zijlstra, W. van Neerven, Nucl. Phys. B 417, 61 (1994)

    Article  ADS  Google Scholar 

  42. E. Zijlstra, W. van Neerven, Nucl. Phys. B 426, 245 (1994) [Erratum]

    Article  Google Scholar 

  43. E. Zijlstra, W. van Neerven, Nucl. Phys. B 773, 105 (2007) [Erratum]

    Article  ADS  Google Scholar 

  44. V.M. Braun, E. Gardi, S. Gottwald, Nucl. Phys. B 685, 171 (2004) [hep-ph/0401158]

    Article  ADS  Google Scholar 

  45. S. Descotes-Genon, C.T. Sachrajda, Nucl. Phys. B 650, 356 (2003) [hep-ph/0209216]

    Article  ADS  Google Scholar 

  46. S.W. Bosch, R.J. Hill, B.O. Lange, M. Neubert, Phys. Rev. D 67, 094014 (2003) [hep-ph/0301123]

    Article  ADS  Google Scholar 

  47. M. Beneke, T. Feldmann, Nucl. Phys. B 685, 249 (2004) [hep-ph/0311335]

    Article  ADS  Google Scholar 

  48. V.M. Braun, D.Y. Ivanov, G.P. Korchemsky, Phys. Rev. D 69, 034014 (2004) [hep-ph/0309330]

    Article  ADS  Google Scholar 

  49. S.J. Lee, M. Neubert, Phys. Rev. D 72, 094028 (2005) [hep-ph/0509350]

    Article  ADS  Google Scholar 

  50. V.L. Chernyak, A.R. Zhitnitsky, Phys. Rep. 112, 173 (1984)

    Article  ADS  Google Scholar 

  51. V. Braun, R.J. Fries, N. Mahnke, E. Stein, Nucl. Phys. B 589, 381 (2000) [hep-ph/0007279]

    Article  ADS  Google Scholar 

  52. V. Braun, R.J. Fries, N. Mahnke, E. Stein, Nucl. Phys. B 607, 433 (2001) [Erratum]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Regensburg, 93040, Regensburg, Germany

    V.M. Braun

  2. Institut für Theoretische Physik II, Ruhr-Universität Bochum, Universitätsstraße 150, 44801, Bochum, Germany

    D. Müller

Authors
  1. V.M. Braun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Müller
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Müller.

Additional information

PACS

12.38.-t, 14.20.Dh; 13.40.Gp

Rights and permissions

Reprints and permissions

About this article

Cite this article

Braun, V., Müller, D. Exclusive processes in position space and the pion distribution amplitude. Eur. Phys. J. C 55, 349–361 (2008). https://doi.org/10.1140/epjc/s10052-008-0608-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-008-0608-4

Keywords

Search

Navigation