Algebraic Geometry

Lips: $p$-adic and singular phase space
I present new features of the open-source Python package lips, which leverages the newly developed pyadic and syngular libraries. These …
Cite arXiv:2305.14075 inspire2661970
Constructing Compact Ansätze for Scattering Amplitudes
In these proceedings, we discuss the recent approach of Ref. [1] for the construction of Ansätze for scattering amplitudes. The method …
Cite arXiv:2207.10125 inspire2120622 PoS 1 416 0038
Vector boson pair production at one loop: analytic results for the process qq̅ℓℓ̅ℓ'ℓ̅'g
We present compact analytic results for the one-loop amplitude for the process 0 → qq̅ℓℓ̅ℓ’ℓ̅’g, relevant for both the …
Cite arXiv:2203.17170 inspire2060823 JHEP 10 (2022) 096
Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry
Rational coefficients of special functions in scattering amplitudes are known to simplify on singular surfaces, often diverging less …
Cite arXiv:2203.04269 inspire2048108 JHEP 12 (2022) 140
Algebraic geometry and p-adic numbers for scattering amplitude ansätze
Scattering amplitudes in perturbative quantum field theory exhibit a rich structure of zeros, poles and branch cuts which are best …
Cite inspire2633630 IoP 10 1088