193 citations · 957 across the 14 of their papers we have counts for
15 papers
Compact Syzygies for Feynman Integrals from Landau Singularities
Federico Coro, Pavel P. Novichkov, Ben Page +1
We discuss a recent proposal for constructing ``syzygy solutions'', which play a crucial role in integration-by-parts reductions for multi-loop scattering amplitudes. We highlight…
Finite Massless Pentaboxes
Gustavo Figueiredo, David A. Kosower, Pavel P. Novichkov
We characterize the integrand numerators that give rise to locally finite or evanescent Feynman integrals for the massless pentabox. We provide compact expressions for the generato…
Feynman Integral Reduction and Landau Singularities
Federico Coro, Pavel P. Novichkov, Ben Page +1
We propose that Feynman integral reduction is controlled by solutions of the Landau equations. We study integral relations with prescribed propagator powers using syzygy methods an…
Fano and Reflexive Polytopes from Feynman Integrals
Leonardo de la Cruz, Pavel P. Novichkov, Pierre Vanhove
We classify the Fano and reflexive polytopes that arise from quasi-finite Feynman integrals. These polytopes appear as scaled Minkowski sums of the Newton polytopes associated with…
Finite Integrals from Feynman Polytopes
Leonardo de la Cruz, David A. Kosower, Pavel P. Novichkov
We investigate a geometric approach to determining the complete set of numerators giving rise to finite Feynman integrals. Our approach proceeds graph by graph, and makes use of th…
Finite Feynman Integrals
Giulio Gambuti, David A. Kosower, Pavel P. Novichkov +1
We describe an algorithm to organize Feynman integrals in terms of their infrared properties. Our approach builds upon the theory of Landau singularities, which we use to classify…
Spinning waveforms from KMOC at leading order
Stefano De Angelis, Riccardo Gonzo, Pavel P. Novichkov
We provide the analytic waveform in time domain for the scattering of two Kerr black holes at leading order in the post-Minkowskian expansion and up to fourth order in both spins.…
Modular Flavour Symmetries and Modulus Stabilisation
P. P. Novichkov, J. T. Penedo, S. T. Petcov
We study the problem of modulus stabilisation in the framework of the modular symmetry approach to the flavour problem. By analysing simple UV-motivated CP-invariant potentials for…
Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries
P. P. Novichkov, J. T. Penedo, S. T. Petcov
In modular-invariant models of flavour, hierarchical fermion mass matrices may arise solely due to the proximity of the modulus to a point of residual symmetry. This mechanism…
Double Cover of Modular for Flavour Model Building
P. P. Novichkov, J. T. Penedo, S. T. Petcov
We develop the formalism of the finite modular group , a double cover of the modular permutation group , for theories of flavour. The integer weig…
Generalised CP Symmetry in Modular-Invariant Models of Flavour
P. P. Novichkov, J. T. Penedo, S. T. Petcov +1
The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry tra…
Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries
P. P. Novichkov, S. T. Petcov, M. Tanimoto
We construct phenomenologically viable models of lepton masses and mixing based on modular invariance broken to residual symmetries or …
Modular Symmetry for Flavour Model Building
P. P. Novichkov, J. T. Penedo, S. T. Petcov +1
In the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular gro…
Modular Models of Lepton Masses and Mixing
P. P. Novichkov, J. T. Penedo, S. T. Petcov +1
We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irredu…
Superintegrable metrics on surfaces admitting integrals of degrees 1 and 4
Pavel Novichkov
We study Riemannian metrics on surfaces whose geodesic flows are superintegrable with one integral linear in momenta and one integral quartic in momenta. The main results of the wo…