An Effective field theory for collinear and soft gluons: Heavy to light decays

By Christian W. Bauer, S. Fleming, D. Pirjol, Iain W. Stewart. 2000

1,423 citations recorded by the source corpus.

We construct the Lagrangian for an effective theory of highly energetic quarks with energy Q, interacting with collinear and soft gluons. This theory has two low energy scales, the transverse momentum of the collinear particles, ${p}_{\ensuremath{\perp}},$ and the scale ${p}_{\ensuremath{\perp}}^{2}/Q.$ The heavy to light currents are matched onto operators in the effective theory at one loop and the renormalization group equations for the corresponding Wilson coefficients are solved. This running is used to sum Sudakov logarithms in inclusive $\stackrel{\ensuremath{\rightarrow}}{B}{X}_{s}\ensuremath{\gamma}$ and $\stackrel{\ensuremath{\rightarrow}}{B}{X}_{u}l\overline{\ensuremath{\nu}}$ decays. We also show that the interactions with collinear gluons preserve the relations for the soft part of the form factors for heavy-to-light decays found by Charles et al. [Phys. Rev. D 60, 014001 (1999)], establishing these relations in the large energy limit of QCD.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5df9bb1a80fcdab3e0316c845fa461f43babfad9

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Citations in the corpus

Jet shapes with the broadening axis (2014, methodology): “For the thrust-axis angularities, one can perform a multipole expansion [35, 55, 56] of the jet function in ~k⊥ to account for the displacement of the collinear direction due to soft recoil.”
When does the gluon reggeize? (2013, background): “These Wilson lines, for example, form an essential ingredient of heavy quark effective theory [6] and soft-collinear effective theory [7].”
Power-enhanced leading-logarithmic QED corrections to Bq→ μ+μ− (2019, background): “1 Lagrangians The leading-power Lagrangian of a hard-collinear fermion fC in SCETI reads [67,68]”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, background): “Notable recent progress includes the development of soft collinear effective theory (SCET) [145], in which infinitedimensional symmetries likely related to those discussed here make an appearance [146].”
Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, methodology): “Our proof of factorization uses SoftCollinear Effective Theory (SCET) [29, 31, 35, 37] plus additional arguments to rule out effects of Glauber gluons based in part on Refs.”
Analytic boosted boson discrimination (2015, background): “Operators and matrix elements in SCET are constructed from collinearly gauge-invariant quark and gluon fields, defined as [79, 80]”
Implications of LHCb measurements and future prospects - eScholarship (2013, positive): “In the low q2 region, these decays can be described by QCD-improved factorisation (QCDF) [46, 47] and the field theory formulation of soft-collinear effective theory (SCET) [48, 49].”
High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, methodology): “[96] C.”
The midpoint between dipole and parton showers (2015, positive): “These choices will eventually allow one to compare with analytic approaches, such as CSS [22–27] and SCET [28–31].”
The quark beam function at NNLL (2010, methodology): “are required to make χn(y) and B n⊥(y) gauge invariant with respect to collinear gauge transformations [11, 12].”