Unitarity Method with Spurious Pole
arXiv:0806.4016 · doi:10.1016/j.nuclphysb.2008.11.032
Abstract
In unitarity cut method, compact input of on-shell tree level amplitudes is crucial to simplify calculations. Although BCFW on-shell recursion relation gives very compact tree level amplitudes, they usually contain spurious poles. In this paper, we present a method to deal with this issue and provide explicit simple algebraic functions for various coefficients in the presence of spurious poles. As an application, we present analytic result (not just rational term) for one-loop five gluon A(-++++) with scalar propagator for the first time.
49 pages; typos corrected, reference added; figures added, final version to appear in NPB
References in corpus (69)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
- Perturbative Gauge Theory As A String Theory In Twistor Space
- Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
- New Recursion Relations for Tree Amplitudes of Gluons
- Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
- Multi-Parton Amplitudes in Gauge Theories
- Reducing full one-loop amplitudes to scalar integrals at the integrand level
- MHV Vertices And Tree Amplitudes In Gauge Theory
- Dimensionally Regulated Pentagon Integrals
- Reduction schemes for one-loop tensor integrals
- CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes
- One-Loop Amplitudes for e^+ e^- to Four Partons
- Scalar one-loop integrals for QCD
- An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
- One-Loop Corrections to Five-Gluon Amplitudes
- Massive Loop Amplitudes from Unitarity
- Dimensionally Regulated One-Loop Integrals
- Reduction of one-loop tensor 5-point integrals
- Direct extraction of one-loop integral coefficients
- Full one-loop amplitudes from tree amplitudes
- On-Shell Methods in Perturbative QCD
- The Infrared Behavior of One-Loop Gluon Amplitudes at Next-to-Next-to-Leading Order
- A Numerical Unitarity Formalism for Evaluating One-Loop Amplitudes
- On the Rational Terms of the one-loop amplitudes
- One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
- One-Loop Self-Dual and N=4 Super Yang-Mills
- D-dimensional unitarity cut method
- The Infrared Behavior of One-Loop QCD Amplitudes at Next-to-Next-to-Leading Order
- Factorization in One-Loop Gauge Theory
- Recursion Relations for Gauge Theory Amplitudes with Massive Particles
- On-Shell Recurrence Relations for One-Loop QCD Amplitudes
- Masses, fermions and generalized D-dimensional unitarity
- One-Loop Amplitudes Of Gluons In SQCD
- Bootstrapping Multi-Parton Loop Amplitudes in QCD
- Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
- The Cut-Constructible Part of QCD Amplitudes
- All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
- Bootstrapping One-Loop QCD Amplitudes with General Helicities
- Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
- Non-Supersymmetric Loop Amplitudes and MHV Vertices
- Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
- Algebraic reduction of one-loop Feynman graph amplitudes
- The Last of the Finite Loop Amplitudes in QCD
- Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
- A Twistor Approach to One-Loop Amplitudes in N=1 Supersymmetric Yang-Mills Theory
- Recursive numerical calculus of one-loop tensor integrals
- Reduction formalism for dimensionally regulated one-loop N-point integrals
- S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
- One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
- Reduction method for dimensionally regulated one-loop N-point Feynman integrals
- On Triple-Cut of Scattering Amplitudes
- Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
- N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
- Algebraic evaluation of rational polynomials in one-loop amplitudes
- Numerical Evaluation of Six-Photon Amplitudes
- Loops in Twistor Space
- One-loop phi-MHV amplitudes using the unitarity bootstrap
- Integral Coefficients for One-Loop Amplitudes
- Closed-Form Decomposition of One-Loop Massive Amplitudes
- All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
- One-loop phi-MHV amplitudes using the unitarity bootstrap: the general helicity case
- All-Multiplicity One-Loop Corrections to MHV Amplitudes in QCD
- The rational parts of one-loop QCD amplitudes I: The general formalism
- Polynomial Structures in One-Loop Amplitudes
- One-loop Integral Coefficients from Generalized Unitarity
- The rational parts of one-loop QCD amplitudes III: The six-gluon case
- The rational parts of one-loop QCD amplitudes II: The five-gluon case
- Supernova Neutrino Process and its Impact on the Galactic Chemical Evolution of the Light Elements
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- Loop amplitudes in gauge theories: modern analytic approaches
- The one-loop gluon amplitude for heavy-quark production at NNLO
- Simplicity in the Structure of QED and Gravity Amplitudes
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- On-shell diagrammatics and the perturbative structure of planar gauge theories
- Integral Reduction by Unitarity Method for Two-loop Amplitudes: A Case Study
- All one-loop NMHV gluon amplitudes in N=1 SYM
- Analytic structure of one-loop coefficients
- Massive particles and unitarity cuts
- Scattering amplitudes in gauge theories with and without supersymmetry
- Equivalence of Coefficients Extraction of One-loop Master Integrals
- Cross Section Evaluation by Spinor Integration II: The massive case in 4D