Yangian Bootstrap for Conformal Feynman Integrals

Understand

We explore the idea to bootstrap Feynman integrals using integrability.

• In particular, we put the recently discovered Yangian symmetry of conformal Feynman integrals to work.
• As a prototypical example we demonstrate that the D-dimensional box integral with generic propagator powers is completely fixed by its symmetries to be a particular linear combination of Appell hypergeometric functions.
• In this context the Bloch-Wigner function arises as a special Yangian invariant in 4D.