Two-Loop Gravity amplitudes from four dimensional Unitarity

Abstract

We compute the polylogarithmic parts of the two-loop four and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic form. We use these to extract the $\ln ({\mu }^2)$ terms from both the four and five-point amplitudes and show that these match the same $R^3$ counterterm.

typo in eq 6.12 corrected

References in corpus (33)

• 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
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Dimensionally Regulated Pentagon Integrals
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• Massive Loop Amplitudes from Unitarity
• Direct extraction of one-loop integral coefficients
• One-Loop Self-Dual and N=4 Super Yang-Mills
• A direct proof of the CSW rules
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• Factorization Properties of Soft Graviton Amplitudes
• Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD
• Calculation of Graviton Scattering Amplitudes using String-Based Methods
• A Two-Loop Five-Gluon Helicity Amplitude in QCD
• Collinear and Soft Divergences in Perturbative Quantum Gravity
• On Triple-Cut of Scattering Amplitudes
• One-Loop Gluon Scattering Amplitudes in Theories with $N<4$ Supersymmetries
• MHV-Vertices for Gravity Amplitudes
• Eikonal methods applied to gravitational scattering amplitudes
• Infinities within graviton scattering amplitudes
• Evanescent Effects Can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences
• Two-loop five-point all plus helicity Yang-Mills amplitude
• Two-loop six gluon all plus helicity amplitude
• Local integrands for two-loop all-plus Yang-Mills amplitudes
• Analytic Structure of Three-Mass Triangle Coefficients
• $n$-point amplitudes with a single negative-helicity graviton
• The two-loop n-point all-plus helicity amplitude
• The Unitarity Method using a Canonical Basis Approach
• Obtaining One-loop Gravity Amplitudes Using Spurious Singularities
• Ultra-Violet Infinities and Counterterms in Higher Dimensional Yang-Mills

Cited by in corpus (7)

• NNLO QCD corrections to three-photon production at the LHC
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• The Two-Loop Four-Graviton Scattering Amplitudes
• Curvature-Squared Multiplets, Evanescent Effects and the U(1) Anomaly in N = 4 Supergravity
• Graviton Bending in Quantum Gravity from One-Loop Amplitudes
• Loop Amplitudes in an Extended Gravity Theory
• Diagrammar in an Extended Theory of Gravity