6533b872fe1ef96bd12d38a5
RESEARCH PRODUCT
Conformal Symmetry and Feynman Integrals
Simone Zoiasubject
PhysicsHigh Energy Physics - TheoryFunction spaceDifferential equationOpen problemFOS: Physical sciencesPosition and momentum spaceInvariant (physics)Massless particleHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Conformal symmetryGravitational singularityMathematical physicsdescription
Singularities hidden in the collinear region around an external massless leg may lead to conformal symmetry breaking in otherwise conformally invariant finite loop momentum integrals. For an $\ell$-loop integral, this mechanism leads to a set of linear $2$nd-order differential equations with a non-homogeneous part. The latter, due to the contact nature of the anomaly in momentum space, is determined by $(\ell-1)$-loop information. Solving such differential equations in general is an open problem. In the case of 5-particle amplitudes up to two loops, the function space is known, and we can thus follow a bootstrap approach to write down the solution. As a first application of this method, we bootstrap the 6D penta-box integral.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-07-16 |