Proceedings of the QCD Evolution Workshop, Jefferson Lab, 14–17 May 2012; Editors: Anatoly Radyushkin and Alexei ProkudinOpen Access

GENERALIZED UNIVERSALITY FOR TMD DISTRIBUTION FUNCTIONS

M. G. A. BUFFING

Nikhef and Department of Physics and Astronomy, VU University Amsterdam, De Boelelaan 1081, NL-1081 HV Amsterdam, the Netherlands

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and

P. J. MULDERS

Nikhef and Department of Physics and Astronomy, VU University Amsterdam, De Boelelaan 1081, NL-1081 HV Amsterdam, the Netherlands

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https://doi.org/10.1142/S2010194512009105Cited by:1 (Source: Crossref)

Abstract

Azimuthal asymmetries in high-energy processes, most pronounced showing up in combination with single or double (transverse) spin asymmetries, can be understood with the help of transverse momentum dependent (TMD) parton distribution and fragmentation functions. These appear in correlators containing expectation values of quark and gluon operators. TMDs allow access to new operators as compared to collinear (transverse momentum integrated) correlators. These operators include nontrivial process dependent Wilson lines breaking universality for TMDs. Making an angular decomposition in the azimuthal angle, we define a set of universal TMDs of definite rank, which appear with process dependent gluonic pole factors in a way similar to the sign of T-odd parton distribution functions in deep inelastic scattering or the Drell-Yan process. In particular, we show that for a spin 1/2 quark target there are three pretzelocity functions.

Keywords:

PACS: 12.38.-t, 13.85.Ni, 13.85.Qk

References

M. Diehl and T. Gousset, Phys. Lett. B 428, 359 (1998). Crossref, Google Scholar
J. C. Collins, D. E. Soper and G. F. Sterman, Nucl. Phys. B 250, 199 (1985), DOI: 10.1016/0550-3213(85)90479-1. Crossref, ADS, Google Scholar
A. V. Belitsky, X. Ji and F. Yuan, Nucl. Phys. B 656, 165 (2003), DOI: 10.1016/S0550-3213(03)00121-4. Crossref, ADS, Google Scholar
C. J. Bomhof, P. J. Mulders and F. Pijlman, Phys. Lett. B 596, 277 (2004). Crossref, ADS, Google Scholar
T. C. Rogers and P. J. Mulders, Phys. Rev. D 81, 094006 (2010), DOI: 10.1103/PhysRevD.81.094006. Crossref, Google Scholar
M. G. A. Buffing and P. J. Mulders, JHEP 1107, 065 (2011). Google Scholar
A. Bacchettaet al., JHEP 0702, 093 (2007). ADS, Google Scholar
P. J. Mulders and R. D. Tangerman, Nucl. Phys. B 461, 197 (1996) [Erratum-ibid. B 484, 538 (1997)] . Google Scholar
S. Meissner, A. Metz and K. Goeke, Phys. Rev. D 76, 034002 (2007). Crossref, Google Scholar
A. V. Efremov and O. V. Teryaev, Phys. Lett. B 150, 383 (1985). Crossref, ADS, Google Scholar
J.-W. Qiu and G. F. Sterman, Phys. Rev. Lett. 67, 2264 (1991), DOI: 10.1103/PhysRevLett.67.2264. Crossref, ADS, Google Scholar
A. Bacchettaet al., Phys. Rev. D 72, 034030 (2005), DOI: 10.1103/PhysRevD.72.034030. Crossref, Google Scholar
C. J. Bomhof and P. J. Mulders, JHEP 0702, 029 (2007). Google Scholar
D. Boer, P. J. Mulders and F. Pijlman, Nucl. Phys. B 667, 201 (2003), DOI: 10.1016/S0550-3213(03)00527-3. Crossref, ADS, Google Scholar
J. C. Collins, Phys. Lett. B 536, 43 (2002). Crossref, ADS, Google Scholar
C. J. Bomhof, P. J. Mulders and F. Pijlman, Eur. Phys. J. 47, 147 (2006), DOI: 10.1140/epjc/s2006-02554-2. Crossref, Google Scholar
C. J. Bomhof and P. J. Mulders, Nucl. Phys. B 795, 409 (2008), DOI: 10.1016/j.nuclphysb.2007.11.024. Crossref, ADS, Google Scholar
J. C. Collins and A. Metz, Phys. Rev. Lett. 93, 252001 (2004), DOI: 10.1103/PhysRevLett.93.252001. Crossref, Google Scholar
S. Meissner and A. Metz, Phys. Rev. Lett. 102, 172003 (2009). Crossref, Google Scholar
L. P. Gamberg, A. Mukherjee and P. J. Mulders, Phys. Rev. D 77, 114026 (2008), DOI: 10.1103/PhysRevD.77.114026. Crossref, ADS, Google Scholar
L. P. Gamberg, A. Mukherjee and P. J. Mulders, Phys. Rev. D 83, 071503 (2011), DOI: 10.1103/PhysRevD.83.071503. Crossref, Google Scholar
M. G. A. Buffing, A. Mukherjee and P. J. Mulders, Generalized Universality of Higher Transverse Moments of Quark TMD Correlators, to appear in Phys. Rev. D . Google Scholar
A. Bacchetta and P. J. Mulders, Phys. Rev. D 62, 114004 (2000), DOI: 10.1103/PhysRevD.62.114004. Crossref, Google Scholar
P. Hoodbhoy, R. L. Jaffe and A. Manohar, Nucl. Phys. B 312, 571 (1989), DOI: 10.1016/0550-3213(89)90572-5. Crossref, ADS, Google Scholar
M. G. A. Buffing, A. Mukherjee and P. J. Mulders, Generalized Universality of Higher Transverse Moments of Gluon TMD Correlators, in preparation . Google Scholar