Integral Reduction by Unitarity Method for Two-loop Amplitudes: A Case Study
arXiv:1401.6766 · doi:10.1007/JHEP06(2014)166
Abstract
In this paper, we generalize the unitarity method to two-loop diagrams and use it to discuss the integral bases of reduction. To test out method, we focus on the four-point double-box diagram as well as its related daughter diagrams, i.e., the double-triangle diagram and the triangle-box diagram. For later two kinds of diagrams, we have given complete analytical results in general (4-2\eps)-dimension.
52 pages, 1 figure
References in corpus (23)
- Reducing full one-loop amplitudes to scalar integrals at the integrand level
- Direct extraction of one-loop integral coefficients
- Full one-loop amplitudes from tree amplitudes
- D-dimensional unitarity cut method
- Feynman Diagrams and Differential Equations
- Magnus and Dyson Series for Master Integrals
- Direct Extraction Of One Loop Rational Terms
- Search for the and decays with the LHCb detector
- Evaluating single-scale and/or non-planar diagrams by differential equations
- Sharpening The Leading Singularity
- On Triple-Cut of Scattering Amplitudes
- Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients
- Tensorial Reconstruction at the Integrand Level
- Integral Coefficients for One-Loop Amplitudes
- Closed-Form Decomposition of One-Loop Massive Amplitudes
- The SM and NLO Multileg and SM MC Working Groups: Summary Report
- Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
- The NLO multileg working group: summary report
- Polynomial Structures in One-Loop Amplitudes
- Counting master integrals: integration by parts vs. differential reduction
- Unitarity Method with Spurious Pole
- An Overview of Maximal Unitarity at Two Loops
- The Integrand Reduction of One- and Two-Loop Scattering Amplitudes