Soft-collinear effective theory explained

In quantum field theory, soft-collinear effective theory (or SCET) is a theoretical framework for doing calculations that involve interacting particles carrying widely different energies.

The motivation for developing SCET was to control the infrared divergences that occur in quantum chromodynamics (QCD) calculations that involve particles that are soft—carrying much lower energy or momentum than other particles in the process—or collinear—traveling in the same direction as another particle in the process. SCET is an effective theory for highly energetic quarks interacting with collinear and/or soft gluons. It has been used for calculations of the decays of B mesons (quark-antiquark bound states involving a bottom quark) and the properties of jets (sprays of hadrons that emerge from particle collisions when a quark or gluon is produced). SCET has also been used to calculate electroweak interactions in Higgs boson production.^[1]

The new feature of SCET is its ability to handle more than one soft energy scale. For example, processes involving quarks carrying a high energy Q interacting with gluons have two soft scales: the transverse momentum p_T of the collinear particles, plus the even softer scale p_T²/Q. SCET provides a power-counting formalism for doing perturbation theory in the small parameter Λ_QCD/Q.

External links

See the original papers were by Christian Bauer, Sean Fleming, Michael Luke, Dan Pirjol, and Iain Stewart:

• Bauer . Christian W. . Fleming . Sean . Luke . Michael . Summing Sudakov logarithms in B→X_sγ in effective field theory . Physical Review D . American Physical Society (APS) . 63 . 1 . 2000-12-01 . 0556-2821 . 10.1103/physrevd.63.014006 . 014006. hep-ph/0005275.
• Bauer . Christian W. . Fleming . Sean . Pirjol . Dan . Stewart . Iain W. . An effective field theory for collinear and soft gluons: Heavy to light decays . Physical Review D . American Physical Society (APS) . 63 . 11 . 2001-05-07 . 0556-2821 . 10.1103/physrevd.63.114020 . 114020. hep-ph/0011336.
• Bauer . Christian W. . Stewart . Iain W. . Invariant operators in collinear effective theory . Physics Letters B . Elsevier BV . 516 . 1-2 . 2001 . 0370-2693 . 10.1016/s0370-2693(01)00902-9 . 134–142. hep-ph/0107001.
• Bauer . Christian W. . Pirjol . Dan . Stewart . Iain W. . Soft-collinear factorization in effective field theory . Physical Review D . American Physical Society (APS) . 65 . 5 . 2002-02-12 . 0556-2821 . 10.1103/physrevd.65.054022 . 054022. hep-ph/0109045.
• Bauer . Christian W. . Pirjol . Dan . Stewart . Iain W. . Power counting in the soft-collinear effective theory . Physical Review D . American Physical Society (APS) . 66 . 5 . 2002-09-17 . 0556-2821 . 10.1103/physrevd.66.054005 . 054005. hep-ph/0205289.

Notes and References

1. 1011.1505. 10.1103/PhysRevD.84.013007. Electroweak radiative corrections to Higgs production via vector boson fusion using soft-collinear effective theory. Physical Review D. 84. 013007. 2011. Fuhrer. Andreas. Manohar. Aneesh V.. Waalewijn. Wouter J..