Built on

Z. Ligeti, I. W. Stewart, and F. J. Tackmann, Treating the b quark distribution function with reliable uncertainties
Original
1926
Earlier work this paper cites.
G. Korchemsky and A. Radyushkin, Renormalization of the Wilson Loops Beyond the Leading Order
1987
Earlier work this paper cites.
R. Mertig, M. Bohm, and A. Denner, FeynCalc: Computer algebraic calculation of Feynman amplitudes
1991
Earlier work this paper cites.
C. W. Bauer, S. Fleming, and M. E. Luke, Summing Sudakov logarithms in B → X s γ B\to X_{s}\gamma in effective field theory
2000
Earlier work this paper cites.
V. Antonelli, M. Dasgupta, and G. P. Salam, Resummation of thrust distributions in DIS
2000
Earlier work this paper cites.
C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, An Effective field theory for collinear and soft gluons: Heavy to light decays
2001
Earlier work this paper cites.
C. W. Bauer and I. W. Stewart, Invariant operators in collinear effective theory
2001
Earlier work this paper cites.
C. W. Bauer, D. Pirjol, and I. W. Stewart, Soft collinear factorization in effective field theory
2002
Earlier work this paper cites.
C. W. Bauer, S. Fleming, D. Pirjol, I. Z. Rothstein, and I. W. Stewart, Hard scattering factorization from effective field theory
2002
Earlier work this paper cites.
M. Beneke, A. Chapovsky, M. Diehl, and T. Feldmann, Soft collinear effective theory and heavy to light currents beyond leading power
2002
Earlier work this paper cites.
G. Watt, A. Martin, and M. Ryskin, Unintegrated parton distributions and inclusive jet production at HERA
2003
Earlier work this paper cites.
S. Moch, J. Vermaseren, and A. Vogt, The Three loop splitting functions in QCD: The Nonsinglet case
2004
Earlier work this paper cites.
G. Watt, A. Martin, and M. Ryskin, Unintegrated parton distributions and electroweak boson production at hadron colliders
2004
Earlier work this paper cites.
J. C. Collins and X. Zu, Initial state parton showers beyond leading order
2005
Earlier work this paper cites.

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Then

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2012
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2014

The Fully-Differential Quark Beam Function at NNLO

Gaunt, Jonathan R., Stahlhofen, Maximilian

Understand

We present the first calculation of a fully-unintegrated parton distribution (beam function) at next-to-next-to-leading order (NNLO).

We obtain the fully-differential beam function for quark-initiated processes by matching it onto standard parton distribution functions (PDFs) at two loops.
The fully-differential beam function is a universal ingredient in resummed predictions of observables probing both the virtuality as well as the transverse momentum of the incoming quark in addition to its usual longitudinal momentum fraction.
For such double-differential observables our result provides the part of the NNLO singular cross section related to collinear initial-state radiation (ISR), and is important for the resummation of large logarithms through N3LL.

Built on

Z. Ligeti, I. W. Stewart, and F. J. Tackmann, Treating the b quark distribution function with reliable uncertainties
Original
1926
Earlier work this paper cites.
G. Korchemsky and A. Radyushkin, Renormalization of the Wilson Loops Beyond the Leading Order
1987
Earlier work this paper cites.
R. Mertig, M. Bohm, and A. Denner, FeynCalc: Computer algebraic calculation of Feynman amplitudes
1991
Earlier work this paper cites.
C. W. Bauer, S. Fleming, and M. E. Luke, Summing Sudakov logarithms in B → X s γ B\to X_{s}\gamma in effective field theory
2000
Earlier work this paper cites.
V. Antonelli, M. Dasgupta, and G. P. Salam, Resummation of thrust distributions in DIS
2000
Earlier work this paper cites.
C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart, An Effective field theory for collinear and soft gluons: Heavy to light decays
2001
Earlier work this paper cites.
C. W. Bauer and I. W. Stewart, Invariant operators in collinear effective theory
2001
Earlier work this paper cites.
C. W. Bauer, D. Pirjol, and I. W. Stewart, Soft collinear factorization in effective field theory
2002
Earlier work this paper cites.
C. W. Bauer, S. Fleming, D. Pirjol, I. Z. Rothstein, and I. W. Stewart, Hard scattering factorization from effective field theory
2002
Earlier work this paper cites.
M. Beneke, A. Chapovsky, M. Diehl, and T. Feldmann, Soft collinear effective theory and heavy to light currents beyond leading power
2002
Earlier work this paper cites.
G. Watt, A. Martin, and M. Ryskin, Unintegrated parton distributions and inclusive jet production at HERA
2003
Earlier work this paper cites.
S. Moch, J. Vermaseren, and A. Vogt, The Three loop splitting functions in QCD: The Nonsinglet case
2004
Earlier work this paper cites.
G. Watt, A. Martin, and M. Ryskin, Unintegrated parton distributions and electroweak boson production at hadron colliders
2004
Earlier work this paper cites.
J. C. Collins and X. Zu, Initial state parton showers beyond leading order
2005
Earlier work this paper cites.

Similar

S. Fleming, A. K. Leibovich, and T. Mehen, Resummation of Large Endpoint Corrections to Color-Octet J / ψ J/\psi Photoproduction
2006
Cited alongside, same era.
T. Huber and D. Maitre, HypExp: A Mathematica package for expanding hypergeometric functions around integer-valued parameters
2006
Cited alongside, same era.
A. V. Manohar and I. W. Stewart, The Zero-Bin and Mode Factorization in Quantum Field Theory
2007
Cited alongside, same era.
J. Collins, T. Rogers, and A. Stasto, Fully unintegrated parton correlation functions and factorization in lowest-order hard scattering
Original
2008
Cited alongside, same era.
T. C. Rogers, Next-to-Leading Order Hard Scattering Using Fully Unintegrated Parton Distribution Functions
Original
2008
Cited alongside, same era.