Gravity Amplitudes from Double Bonus Relations

Area of Science:

• High-energy physics
• Theoretical physics
• Quantum gravity

Background:

• Tree-level graviton amplitudes are fundamental in quantum gravity.
• Britto-Cachazo-Feng-Witten (BCFW) recursion relations are a powerful tool for amplitude calculations.
• Understanding N=8 supergravity amplitudes offers insights into quantum field theories.

Purpose of the Study:

• To derive new expressions for tree-level graviton amplitudes in N=8 supergravity.
• To explore novel bonus relations extending the standard BCFW recursion.
• To investigate the connection between graviton amplitudes and Grassmannian geometry.

Main Methods:

• Utilizing Britto-Cachazo-Feng-Witten (BCFW) recursion relations.
• Introducing new types of bonus relations that go beyond the standard 1/z^2 behavior.
• Applying knowledge of graviton amplitude zeros in collinear kinematics.
• Employing global residue theorems with canonical building blocks.

Main Results:

• New expressions for tree-level graviton amplitudes in N=8 supergravity were derived.
• Novel bonus relations were introduced, leveraging collinear zeros.
• Building blocks were identified as dressed one-loop leading singularities in the next-to-maximally-helicity-violating case.
• The derived formula preserves permutational symmetry of its building blocks.

Conclusions:

• The new expressions offer a different perspective on graviton amplitudes compared to existing methods.
• The approach highlights a potential connection to Grassmannian geometry.
• Further investigation into the structure of graviton amplitudes is warranted.