activity
20182022
most citedFeynman Polytopes and the Tropical Geometry of UV and IR Divergences

47 citations · 169 across the 6 of their papers we have counts for

collaborators

6 papers

hep-th2022

Stringy Completions of the Standard Model from the Bottom Up

Brad Bachu, Aaron Hillman

We study a class of tree-level ansätze for scalar and gauge boson amplitudes inspired by stringy UV completions. These amplitudes manifest Regge boundedness and are expone…

hep-th2022★ 47 cited

Feynman Polytopes and the Tropical Geometry of UV and IR Divergences

Nima Arkani-Hamed, Aaron Hillman, Sebastian Mizera

We introduce a class of polytopes that concisely capture the structure of UV and IR divergences of general Feynman integrals in Schwinger parameter space, treating them in a unifie…

hep-th2022★ 25 cited

Precision Bootstrap for the Super-Ising Model

Alexander Atanasov, Aaron Hillman, David Poland +2

In this note we report an improved determination of the scaling dimensions and OPE coefficients of the minimal supersymmetric extension of the 3d Ising model using the conformal bo…

hep-th2021★ 41 cited

A Differential Representation of Cosmological Wavefunctions

Aaron Hillman, Enrico Pajer

Our understanding of quantum field theory rests largely on explicit and controlled calculations in perturbation theory. Because of this, much recent effort has been devoted to impr…

hep-th2019★ 13 cited

Symbol Recursion for the dS Wave Function

Aaron Hillman

We present a recursive rule for the symbol of perturbative contributions to the vacuum wave function of a conformally coupled scalar in FRW cosmologies. The rule applies exactly fo…

hep-th2018★ 43 cited

Bootstrapping the Minimal 3D SCFT

Alexander Atanasov, Aaron Hillman, David Poland

We study the conformal bootstrap constraints for 3D conformal field theories with a or parity symmetry, assuming a single relevant scalar operator that is invari…