Skip to main content
SpringerLink
Log in

Renormalization of Composite Operator Matrix Elements

  • Chapter
  • First Online:
Charm Production in Deep Inelastic Scattering

Part of the book series: Springer Theses ((Springer Theses))

  • 290 Accesses

Abstract

Before renormalizing the massive OMEs, they have to be calculated applying a suitable regularization scheme, for which we apply dimensional regularization.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    We would like to remind the reader of the definition of the hat–symbol for a function f, Eq.  3.20, which is not to be confused with the hat–symbol denoting unrenormalized quantities

  2. 2.

    Note that there is a misprint in the double–pole term of Eq. 4.28 in Ref. [17].

  3. 3.

    Here we corrected a typographical error in [17], Eq. 4.48.

  4. 4.

    In Eq. 4.65 we corrected typographical errors contained in Eq. 4.34, [17].

References

  1. R. Hamberg, van W.L. Neerven, Nucl. Phys. B379, 143 (1992)

    Article  ADS  Google Scholar 

  2. J.C. Collins, R.J. Scalise, Phys. Rev. D50, 4117 (1994) hep-ph/9403231

    ADS  Google Scholar 

  3. B.W. Harris, J. Smith, Phys. Rev. D51, 4550 (1995) hep-ph/9409405

    ADS  Google Scholar 

  4. K.G. Chetyrkin, B.A. Kniehl, M. Steinhauser, Nucl. Phys. B814, 231 (2009) hep-ph/0812.1337

    Article  ADS  Google Scholar 

  5. G. ’t Hooft, M.J.G. Veltman, Nucl. Phys. B44, 189 (1972)

    Article  MathSciNet  ADS  Google Scholar 

  6. J.F. Ashmore, Lett. Nuovo Cim. 4, 289 (1972)

    Article  Google Scholar 

  7. G.M. Cicuta, E. Montaldi, Nuovo Cim. Lett. 4, 329 (1972)

    Article  Google Scholar 

  8. C.G. Bollini, J.J. Giambiagi, Nuovo Cim. B12, 20 (1972)

    Google Scholar 

  9. J.C. Collins, Renormalization, (Cambridge University Press, Cambridge, 1984) pp. 380.

    Book  MATH  Google Scholar 

  10. W. Pauli, F. Villars, Rev. Mod. Phys. 21, 434 (1949)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. E.R. Speer, J. Math. Phys. 15, 1 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  12. G. ’t Hooft, Nucl. Phys. B61, 455 (1973)

    Article  MathSciNet  ADS  Google Scholar 

  13. W.A. Bardeen, A.J. Buras, D.W. Duke, T. Muta, Phys. Rev. D18, 3998 (1978)

    ADS  Google Scholar 

  14. Y. Matiounine, J. Smith, van W.L. Neerven, Phys. Rev. D57, 6701 (1998) hep-ph/9801224

    ADS  Google Scholar 

  15. R. Hamberg, Second order gluonic contributions to physical quantities, Ph.D. thesis, Leiden, 1991

    Google Scholar 

  16. M. Buza, Y. Matiounine, J. Smith, R. Migneron, van W.L. Neerven, Nucl. Phys. B472, 611 (1996) hep-ph/9601302

    Article  ADS  Google Scholar 

  17. I. Bierenbaum, J. Blümlein, S. Klein, C. Schneider, Nucl. Phys. B803, 1 (2008) hep-ph/0803.0273

    Article  ADS  Google Scholar 

  18. R. Tarrach, Nucl. Phys. B183, 384 (1981)

    Article  ADS  Google Scholar 

  19. O. Nachtmann, W. Wetzel, Nucl. Phys. B187, 333 (1981)

    Article  ADS  Google Scholar 

  20. N. Gray, D.J. Broadhurst, W. Gräfe, K. Schilcher, Z. Phys. C48, 673 (1990)

    ADS  Google Scholar 

  21. D.J. Broadhurst, N. Gray, K. Schilcher, Z. Phys. C52, 111 (1991)

    MathSciNet  ADS  Google Scholar 

  22. J. Fleischer, F. Jegerlehner, O.V. Tarasov, O.L. Veretin, Nucl. Phys. B539, 671 (1999) hep-ph/9803493

    Article  ADS  Google Scholar 

  23. D.J. Gross, F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973)

    Article  ADS  Google Scholar 

  24. H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973)

    Article  ADS  Google Scholar 

  25. G. t’ Hooft, (1972) unpublished

    Google Scholar 

  26. I.B. Khriplovich, Yad. Fiz. 10, 409 (1969)

    Google Scholar 

  27. W.E. Caswell, Phys. Rev. Lett. 33, 244 (1974)

    Article  ADS  Google Scholar 

  28. D.R.T. Jones, Nucl. Phys. B75, 531 (1974)

    Article  ADS  Google Scholar 

  29. L.F. Abbott, Nucl. Phys. B185, 189 (1981)

    Article  ADS  Google Scholar 

  30. A. Rebhan, Z. Phys. C30, 309 (1986)

    ADS  Google Scholar 

  31. F. Jegerlehner, O.V. Tarasov, Nucl. Phys. B549, 481 (1999) hep-ph/9809485

    Article  ADS  Google Scholar 

  32. F.J. Yndurain, The theory of quark and gluon interactions, 4th edn. (Springer, Berlin, 2006) p. 474.

    MATH  Google Scholar 

  33. I. Bierenbaum, J. Blümlein, S. Klein, Nucl. Phys. B780, 40 (2007) hep-ph/0703285

    Article  ADS  Google Scholar 

  34. M. Buza, Y. Matiounine, J. Smith, van W.L. Neerven, Eur. Phys. J. C1, 301 (1998) hep-ph/9612398

    ADS  Google Scholar 

  35. I. Bierenbaum, J. Blümlein, S. Klein, Phys. Lett. B672, 401 (2009) hep-ph/0901.0669

    ADS  Google Scholar 

  36. I. Bierenbaum, J. Blümlein, S. Klein, Nucl.Phys. B820, 417 (2009) hep-ph/0904.3563

    Article  ADS  Google Scholar 

  37. M. Steinhauser, Comput. Phys. Commun. 134, 335 (2001) hep-ph/0009029

    Article  ADS  MATH  Google Scholar 

  38. K.G. Chetyrkin, M. Steinhauser, Phys. Rev. Lett. 83, 4001 (1999) hep-ph/9907509

    Article  ADS  Google Scholar 

  39. K.G. Chetyrkin, M. Steinhauser, Nucl. Phys. B573, 617 (2000) hep-ph/9911434

    Article  ADS  Google Scholar 

  40. D.J. Broadhurst, Z. Phys. C54, 599 (1992) Avdeev:1994db

    ADS  Google Scholar 

  41. L. Avdeev, J. Fleischer, S. Mikhailov, O. Tarasov, Phys. Lett. B336, 560 (1994) hep-ph/9406363

    ADS  Google Scholar 

  42. S. Laporta, E. Remiddi, Phys. Lett. B379, 283 (1996) hep-ph/9602417

    ADS  Google Scholar 

  43. D.J. Broadhurst, Eur. Phys. J. C8, 311 (1999) hep-th/9803091

    ADS  Google Scholar 

  44. R. Boughezal, J.B. Tausk, van der J.J. Bij, Nucl. Phys. B713, 278 (2005) hep-ph/0410216

    Article  ADS  Google Scholar 

  45. S. Moch, J.A.M. Vermaseren, A. Vogt, Nucl. Phys. B688, 101 (2004) hep-ph/0403192

    Article  MathSciNet  ADS  Google Scholar 

  46. J. Blümlein, S. Klein, B. Tödtli, Phys. Rev. D80, 094010 (2009) hep-ph/0909.1547

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Particle Physics and Cosmology, RWTH Aachen, 52056, Aachen, Germany

    Sebastian Klein

Authors
  1. Sebastian Klein
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sebastian Klein .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Klein, S. (2012). Renormalization of Composite Operator Matrix Elements. In: Charm Production in Deep Inelastic Scattering. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23286-2_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-23286-2_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23285-5

  • Online ISBN: 978-3-642-23286-2

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics

Search

Navigation