Built on

M. G. Echevarría, A. Idilbi and I. Scimemi, Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions , Phys. Lett. B726
Original
1947
Earlier work this paper cites.
V. S. Dotsenko and S. N. Vergeles, Renormalizability of Phase Factors in the Nonabelian Gauge Theory , Nucl. Phys. B169
1980
Earlier work this paper cites.
R. A. Brandt, F. Neri and M.-a. Sato, Renormalization of Loop Functions for All Loops , Phys. Rev. D24
1981
Earlier work this paper cites.
T. Banks and A. Zaks, On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions , Nucl. Phys. B196
1982
Earlier work this paper cites.
J. G. M. Gatheral, Exponentiation of Eikonal Cross-sections in Nonabelian Gauge Theories , Phys. Lett. B133
1983
Earlier work this paper cites.
J. Frenkel and J. C. Taylor, NONABELIAN EIKONAL EXPONENTIATION , Nucl. Phys. B246
1984
Earlier work this paper cites.
J. C. Collins, D. E. Soper and G. F. Sterman, Transverse Momentum Distribution in Drell-Yan Pair and W and Z Boson Production , Nucl. Phys. B250
1985
Earlier work this paper cites.
J. C. Collins and F. V. Tkachov, Breakdown of dimensional regularization in the Sudakov problem , Phys. Lett. B294
1992
Earlier work this paper cites.
I. A. Korchemskaya and G. P. Korchemsky, On lightlike Wilson loops , Phys. Lett. B287
1992
Earlier work this paper cites.
V. A. Smirnov, Asymptotic expansions of two loop Feynman diagrams in the Sudakov limit , Phys. Lett. B404
1997
Earlier work this paper cites.
S. Catani and M. H. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD , Nucl. Phys. B485
1997
Earlier work this paper cites.
C. W. Bauer, D. Pirjol and I. W. Stewart, Soft collinear factorization in effective field theory , Phys. Rev. D65
2002
Earlier work this paper cites.
S. Moch, J. A. M. Vermaseren and A. Vogt, The Three loop splitting functions in QCD: The Nonsinglet case , Nucl. Phys. B688
2004
Earlier work this paper cites.
S. M. Aybat, L. J. Dixon and G. F. Sterman, The Two-loop soft anomalous dimension matrix and resummation at next-to-next-to leading pole , Phys. Rev. D74
2006
Earlier work this paper cites.
T. Becher, M. Neubert and G. Xu, Dynamical Threshold Enhancement and Resummation in Drell-Yan Production , JHEP 07
Original
2008
Earlier work this paper cites.
Y. Hatta, Relating e+ e- annihilation to high energy scattering at weak and strong coupling , JHEP 11
Original
2008
Earlier work this paper cites.
J. M. Drummond, G. P. Korchemsky and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops , Nucl. Phys. B795
Original
2008
Earlier work this paper cites.

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2017

Structure of rapidity divergences in soft factors

Vladimirov, Alexey

Understand

We discuss the structure of rapidity divergences that are presented in the soft factors of transverse momentum dependent (TMD) factorization theorems.

To provide the discussion on the most general level we consider soft factors for multi-parton scattering.
We show that the rapidity divergences are result of the gluon exchanges with the distant transverse plane, and are structurally equivalent to the ultraviolet divergences.
It allows to formulate and to prove the renormalization theorem for rapidity divergences.

Built on

M. G. Echevarría, A. Idilbi and I. Scimemi, Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions , Phys. Lett. B726
Original
1947
Earlier work this paper cites.
V. S. Dotsenko and S. N. Vergeles, Renormalizability of Phase Factors in the Nonabelian Gauge Theory , Nucl. Phys. B169
1980
Earlier work this paper cites.
R. A. Brandt, F. Neri and M.-a. Sato, Renormalization of Loop Functions for All Loops , Phys. Rev. D24
1981
Earlier work this paper cites.
T. Banks and A. Zaks, On the Phase Structure of Vector-Like Gauge Theories with Massless Fermions , Nucl. Phys. B196
1982
Earlier work this paper cites.
J. G. M. Gatheral, Exponentiation of Eikonal Cross-sections in Nonabelian Gauge Theories , Phys. Lett. B133
1983
Earlier work this paper cites.
J. Frenkel and J. C. Taylor, NONABELIAN EIKONAL EXPONENTIATION , Nucl. Phys. B246
1984
Earlier work this paper cites.
J. C. Collins, D. E. Soper and G. F. Sterman, Transverse Momentum Distribution in Drell-Yan Pair and W and Z Boson Production , Nucl. Phys. B250
1985
Earlier work this paper cites.
J. C. Collins and F. V. Tkachov, Breakdown of dimensional regularization in the Sudakov problem , Phys. Lett. B294
1992
Earlier work this paper cites.
I. A. Korchemskaya and G. P. Korchemsky, On lightlike Wilson loops , Phys. Lett. B287
1992
Earlier work this paper cites.
V. A. Smirnov, Asymptotic expansions of two loop Feynman diagrams in the Sudakov limit , Phys. Lett. B404
1997
Earlier work this paper cites.
S. Catani and M. H. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD , Nucl. Phys. B485
1997
Earlier work this paper cites.
C. W. Bauer, D. Pirjol and I. W. Stewart, Soft collinear factorization in effective field theory , Phys. Rev. D65
2002
Earlier work this paper cites.
S. Moch, J. A. M. Vermaseren and A. Vogt, The Three loop splitting functions in QCD: The Nonsinglet case , Nucl. Phys. B688
2004
Earlier work this paper cites.
S. M. Aybat, L. J. Dixon and G. F. Sterman, The Two-loop soft anomalous dimension matrix and resummation at next-to-next-to leading pole , Phys. Rev. D74
2006
Earlier work this paper cites.
T. Becher, M. Neubert and G. Xu, Dynamical Threshold Enhancement and Resummation in Drell-Yan Production , JHEP 07
Original
2008
Earlier work this paper cites.
Y. Hatta, Relating e+ e- annihilation to high energy scattering at weak and strong coupling , JHEP 11
Original
2008
Earlier work this paper cites.
J. M. Drummond, G. P. Korchemsky and E. Sokatchev, Conformal properties of four-gluon planar amplitudes and Wilson loops , Nucl. Phys. B795
Original
2008
Earlier work this paper cites.