Absence of Three-Loop Four-Point Ultraviolet Divergences inN=4Supergravity

The vanishing volume ofD= 4 superspace

(2011) Guillaume Bossard et al.   CLASSICAL AND QUANTUM GRAVITY

Perturbative expansion ofN

(2011) David C. Dunbar et al.   PHYSICAL REVIEW D

N≥4supergravity amplitudes from gauge theory at one loop

(2011) Z. Bern et al.   PHYSICAL REVIEW D

On duality symmetries of supergravity invariants

(2011) G. Bossard et al.   JOURNAL OF HIGH ENERGY PHYSICS

$ \mathcal{N} \geqslant {4} $ supergravity amplitudes from gauge theory at two loops

(2011) C. Boucher-Veronneau et al.   JOURNAL OF HIGH ENERGY PHYSICS

Gravity as the square of gauge theory

(2010) Zvi Bern et al.   PHYSICAL REVIEW D

Complete four-loop four-point amplitude inN=4super-Yang-Mills theory

(2010) Z. Bern et al.   PHYSICAL REVIEW D

Perturbative Quantum Gravity as a Double Copy of Gauge Theory

(2010) Zvi Bern et al.   PHYSICAL REVIEW LETTERS

E7(7) constraints on counterterms in N=8 supergravity

(2010) N. Beisert et al.   PHYSICS LETTERS B

Stringy KLT relations, global symmetries, and E 7(7)-violation

(2010) Henriette Elvang et al.   JOURNAL OF HIGH ENERGY PHYSICS

String theory dualities and supergravity divergences

(2010) Michael B. Green et al.   JOURNAL OF HIGH ENERGY PHYSICS

5 loops in 24/5 dimensions

(2010) Jonas Björnsson et al.   JOURNAL OF HIGH ENERGY PHYSICS

Ultraviolet Behavior ofN=8Supergravity at Four Loops

(2009) Z. Bern et al.   PHYSICAL REVIEW LETTERS

Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)

(2008) A.V. Smirnov et al.   COMPUTER PHYSICS COMMUNICATIONS

Manifest ultraviolet behavior for the three-loop four-point amplitude ofN=8supergravity

(2008) Z. Bern et al.   PHYSICAL REVIEW D

Unexpected cancellations in gravity theories

(2008) Z. Bern et al.   PHYSICAL REVIEW D

New relations for gauge-theory amplitudes

(2008) Z. Bern et al.   PHYSICAL REVIEW D

Algorithm FIRE—Feynman Integral REduction

(2008) A.V Smirnov   JOURNAL OF HIGH ENERGY PHYSICS