Applied Asymptotic Expansions in Momenta and Masses

By Vladimir A. Smirnov. 2001

482 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/52b13bbff64429cf1d0851d6a64c69431403ab77

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

Citations in the corpus

Electroweak radiative corrections for collider physics (2019, unknown): “The splitting of modes corresponds to the different momentum regions in Feynman diagrams of the full theory as defined by the strategy of regions [641, 642].”
Electroweak and supersymmetric two-loop corrections to (g−2)μ (2004, methodology): “As a first step we perform a large mass expansion [35] in the ratio mµ/Mheavy, where Mheavy stands for all heavy masses, MZ,W and Higgs and chargino/neutralino masses.”
Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond (2005, background): “However, one can use more general prescriptions formulated in terms of the so-called strategy of expansion by regions [52, 53, 54].”
Soft triple-real radiation for Higgs production at N3LO (2013, background): “To determine the correct expansion at threshold we consider the strategy of regions [110,111].”
Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion (2008, methodology): “The validity of the effective theory and the Taylor expansion we utilize for MH < MW,Z is most clearly seen by applying the hard-mass expansion procedure [32] to the 3-loop diagrams.”
Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment reexamined (2003, methodology): “As the next step, one constructs the expansion in mμ/Mρ, using the theory of asymptotic expansions for Feynman diagrams (see [16] for a review).”
Finite top quark mass effects in NNLO Higgs boson production at LHC (2009, methodology): “[24]) in the limit M(2) t ≫ ŝ, M(2) H , implemented in two independent programs: q2e/exp [25, 26], and an in-house Perl implementation.”
An effective field theory for forward scattering and factorization violation (2016, methodology): “momentum regions can be identified either physically, or with analyses that determine the infrared structure of amplitudes [74], use the Coleman-Norton theorem [75], or exploiting the method of regions [76].”
Gluon-induced Higgs-strahlung at next-to-leading order QCD (2012, methodology): “Using asymptotic expansion of Feynman diagrams [30, 31], the heavy-top limit can be interchanged with the loop integration, which simplifies the calculation enormously.”
Electroweak two-loop corrections to the effective weak mixing angle (2006, methodology): “The second regime is for large values of MH ≫ MZ, where a large mass expansion [62] is used.”
The Muon Magnetic Moment and Supersymmetry (2006, background): “The SUSY two-loop diagrams can be conveniently evaluated by first applying a large mass expansion [51], where the muon mass is treated as small and all other masses as large.”
Foundation and generalization of the expansion by regions (2011, methodology): “37) are the same as the doubly expanded terms arising in an expansion by subgraphs [4].”
Numerical evaluation of multi-loop integrals by sector decomposition (2003, background): “However, beyond one loop the problem is not satisfactorily solved in a general and constructive way, although promising approaches have been proposed [12, 13, 14, 15].”
Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order (2009, unknown): “The shaded blob in the diagrams right of ⊗ represents an effective vertex given by the result of the diagram left of ⊗ (for details of asymptotic expansions, see Ref.[37], for example).”