May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations

WJ Torres Bobadilla, GFR Sborlini, P Banerjee… - The European Physical …, 2021 - Springer
In this manuscript, we report the outcome of the topical workshop: paving the way to
alternative NNLO strategies (https://indico. ific. uv. es/e/WorkStop-ThinkStart_3. 0), by …

Universal opening of four-loop scattering amplitudes to trees

S Ramírez-Uribe, RJ Hernández-Pinto… - Journal of High Energy …, 2021 - Springer
A bstract The perturbative approach to quantum field theories has made it possible to obtain
incredibly accurate theoretical predictions in high-energy physics. Although various …

Formula for two-loop divergent part of 4-D Yang–Mills effective action

AV Ivanov, NV Kharuk - The European Physical Journal C, 2022 - Springer
In the paper, we study the two-loop contribution to the effective action of the four-
dimensional quantum Yang–Mills theory. We derive a new formula for the contribution in …

Two-loop application of the Breitenlohner-Maison/'t Hooft-Veltman scheme with non-anticommuting γ5: full renormalization and symmetry-restoring counterterms in an …

H Bélusca-Maïto, A Ilakovac, P Kühler… - Journal of High Energy …, 2021 - Springer
A bstract We apply the BMHV scheme for non-anticommuting γ 5 to an abelian chiral gauge
theory at the two-loop level. As our main result, we determine the full structure of symmetry …

Rewording theoretical predictions at colliders with vacuum amplitudes

S Ramírez-Uribe, PK Dhani, GFR Sborlini, G Rodrigo - Physical Review Letters, 2024 - APS
We propose multiloop vacuum amplitudes in the loop-tree duality (LTD) as the optimal
building blocks for efficiently assembling theoretical predictions at high-energy colliders …

A brief review of implicit regularization and its connection with the bphz theorem

DC Arias-Perdomo, A Cherchiglia, B Hiller, M Sampaio - Symmetry, 2021 - mdpi.com
Quantum Field Theory, as the keystone of particle physics, has offered great insights into
deciphering the core of Nature. Despite its striking success, by adhering to local interactions …

Explicit cutoff regularization in coordinate representation

AV Ivanov - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
In this paper, we study a special type of cutoff regularization in the coordinate
representation. We show how this approach unites such concepts and properties as an …

Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a …

AV Ivanov - arxiv preprint arxiv:2402.14549, 2024 - arxiv.org
The paper studies the quantum action for the four-dimensional real $\phi^ 4$-theory in the
case of a general formulation using the background field method. The three-loop …

[HTML][HTML] Higgs boson decay into gluons in a 4D regularization: IR cancellation without evanescent fields to NLO

A Pereira, A Cherchiglia, M Sampaio… - The European Physical …, 2023 - Springer
Higgs decay using an effective Higgs–Yang-Mills interaction in terms of a dimension five
operator as well as usual QCD interactions is revisited in the context of Implicit …

[HTML][HTML] Infrared subtleties and chiral vertices at NLO: an implicit regularization analysis

RJC Rosado, A Cherchiglia, M Sampaio… - The European Physical …, 2023 - Springer
We employ implicit regularization (IReg) in quark-antiquark decays of the Z, or of a scalar
(CP-even or odd) boson at NLO, and compare with dimensional schemes to reveal …