Article
Physics, Particles & Fields
Jacob L. Bourjaily, Holmfridur Hannesdottir, Andrew J. McLeod, Matthew D. Schwartz, Cristian Vergu
Summary: In this study, we extend the relationship between discontinuities of scattering amplitudes and cut diagrams to include sequential discontinuities in arbitrary momentum channels. The new relations, derived using time-ordered perturbation theory, hold at phase-space points where all cut momentum channels are simultaneously accessible. As part of the analysis, the computation of sequential discontinuities as monodromies is explained, with the use of the monodromy group explored in characterizing the analytic properties of Feynman integrals. Multiple cross-checks of the new formulas are performed in polylogarithmic examples, sometimes extending to all loop orders.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Song He, Chia-Kai Kuo, Zhenjie Li, Yao-Qi Zhang
Summary: In this study, we extensively investigate a recently proposed new positive geometry, which is conjectured to be the four-point amplituhedron for ABJM theory. We examine generalized unitarity cuts from this geometry, and demonstrate that (1) the four-point integrand satisfies perturbative unitarity (or optical theorem) at all loops, a result that directly follows from the geometry, and (2) vanishing cuts involving odd-point amplitudes arise from the bipartite nature of the associated negative geometries, providing justification for their presence in ABJM theory. Additionally, we make progress in integrating the forms of these negative geometries and obtain an infrared-finite quantity up to two loops, allowing us to extract the cusp anomalous dimension at leading order.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Taro V. Brown, Umut Oktem, Jaroslav Trnka
Summary: In this paper, we investigate the on-shell diagrams in N < 4 supersymmetric Yang-Mills theory. These diagrams are gauge invariant objects that appear as cuts of loop integrands and serve as building blocks for amplitudes. We show that there are new UV poles in on-shell diagrams of N < 4 SYM theories when the loop momenta go to infinity, which can be interpreted as a diagrammatic operation involving pinching a loop and performing a non-planar twist on external legs.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Tomasz Lukowski, Robert Moerman, Jonah Stalknecht
Summary: Hypochlorite (ClO-) is an important component of reactive oxygen species (ROS) and plays a crucial role in biological systems. Hypochlorous acid (HOCl) is a powerful antimicrobial agent, but excessive HOCl formation can lead to tissue diseases. Therefore, monitoring ClO- concentration and studying its distribution in living cells are of great importance in cell biology and medical diagnosis.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Song He, Chia-Kai Kuo, Yao-Qi Zhang
Summary: This study investigates the connection between twistor-string formulas for tree amplitudes in N = 4 SYM and N = 6 ABJM and the corresponding momentum amplituhedron in D = 4 and D = 3 kinematic spaces. The authors propose twistor-string maps from different Grassmannians to the kinematic spaces and provide strong evidence that these maps are diffeomorphisms. They also show how boundaries of certain moduli spaces map to boundaries of momentum amplituhedra, excluding unwanted channels.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Song He, Zhenjie Li, Qinglin Yang
Summary: We comment on the status of Steinmann-like constraints and summarize their application to the symbols of scattering amplitudes and Feynman integrals in planar N = 4 super-Yang-Mills. We find that extended-Steinmann relations hold for various finite integrals and MHV amplitudes, with interesting cancellation between rational and algebraic letters. Additionally, we propose a list of possible last-two-entries for MHV amplitudes up to 9 points derived from (Q) over bar equations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Vsevolod Chestnov, Georgios Papathanasiou
Summary: The study focuses on the six-particle amplitude in planar N = 4 super Yang-Mills theory in the double scaling (DS) limit, constructing the relevant function space and computing the non-divergent coefficient of a certain component of the amplitude. Results are also specialized to the overlapping origin limit, observing a general pattern for its leading divergences.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
J. Mago, A. Schreiber, M. Spradlin, A. Yelleshpur Srikant, A. Volovich
Summary: In this paper, we study the symbol alphabets of n-particle amplitudes in N = 4 super-Yang-Mills theory, solving the CZ = 0 matrix equations associated with the totally non-negative Grassmannian using methods from previous works. We identify sets of parameterizations that produce solutions for specific cells and determine the origins of algebraic letters through plabic graphs.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
John Golden, Andrew J. McLeod
Summary: The paper utilizes the cluster-algebraic structure to upgrade the symbols of two-loop MHV amplitudes in planar N = 4 supersymmetric Yang Mills theory to complete analytic functions. By systematically projecting and matching components to multiple polylogarithms with negative cluster-coordinate arguments, the additive constant is determined analytically. The unique decomposition of the nonclassical part of each amplitude in terms of a specific A(3) cluster polylogarithm is observed, along with the exploration of the numerical behavior of the remainder function.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Yangrui Hu, Lecheng Ren, Akshay Yelleshpur Srikant, Anastasia Volovich
Summary: This paper explores the celestial avatar of dual superconformal symmetry in N = 4 Yang-Mills theory and identifies the corresponding relationship between celestial amplitudes and momentum space amplitudes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Livia Ferro, Robert Moerman
Summary: This paper investigates tree-level scattering amplitudes in N=4 super Yang-Mills theory and presents a Grassmannian formulation of their celestial counterparts. This opens up a path towards a geometric picture for celestial superamplitudes, inspired by positive geometries.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
David Damgaard, Livia Ferro, Tomasz Lukowski, Robert Moerman
Summary: This paper studies the relationship between the momentum amplituhedron and the kinematic associahedron, finding a direct link between them in four-dimensional spacetime. The analysis highlights the common singularity structure of their amplitudes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Johannes M. M. Henn, Martin Lagares, Shun-Qing Zhang
Summary: In this study, we investigate the infrared-finite functions obtained from integrating the logarithm of the four-particle scattering amplitude over L - 1 loops in the three-dimensional N = 6 Chern-Simonsmatter (ABJM) theory. By organizing the integrands using negative geometries, we ensure that the integrals do not diverge if at least one loop variable is left unintegrated. We explicitly perform the integrations up to L = 3 and find both parity-even and-odd terms. Additionally, we propose a prescription to compute the cusp anomalous dimension Gcusp of ABJM using the integrated negative geometries and successfully reproduce its first non-trivial order. Finally, we demonstrate that the leading singularities in the integrated results are conformally invariant.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Song He, Zhenjie Li, Rourou Ma, Zihao Wu, Qinglin Yang, Yang Zhang
Summary: This paper derives two-loop four-external-mass Feynman integrals with uniform transcendental weights based on recent developments, and explores the relationship between symbol structures and certain dual conformal integrals.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Guanda Lin, Gang Yang, Siyuan Zhang
Summary: We present the detailed computation of full-color three-loop three-point form factors in N = 4 SYM using the color-kinematics duality and generalized unitarity method. The numerical evaluation shows that the computations can be simplified by expressing the integrals in terms of uniformly transcendental basis.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
