Article
Physics, Particles & Fields
Yoonbai Kim, O-Kab Kwon, D. D. Tolla
Summary: We study spontaneous supersymmetry breaking in inhomogeneous extensions of N = 1 supersymmetric field theory models in 4-dimensions. It is found that the inhomogeneous deformations often break the R-symmetry explicitly, and spontaneous breaking of the R-symmetry is infeasible.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Serafim Buyucli, Evgeny Ivanova
Summary: The full set of maximally supersymmetric on-shell invariants of canonical dimension d = 12 in 6D, N = (1, 1) supersymmetric Yang-Mills theory is constructed using the 6D, N = (1, 0) and N = (1, 1) harmonic superspace approaches. Only four single-trace and two double-trace invariants are proven to be independent, providing possible counterterms at four-loop order in the N = (1, 1) SYM theory. The absence of the N = (1, 1) supercompletion of the F-6 term in the abelian limit is also found through this study.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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
Stephen G. Naculich, Theodore W. Wecker
Summary: This study establishes the previously proposed all-loop-orders relation between the Regge limits of four-point amplitudes of N = 4 supersymmetric Yang-Mills theory and N = 8 supergravity at the three-loop level. It demonstrates that the Regge limit of known expressions for the amplitudes simplifies to a sum over three-loop ladder and crossed-ladder scalar diagrams in both cases, which aligns with the result obtained using the eikonal representation of the four-point gravity amplitude. The possibility of an exact three-loop relation between four-point amplitudes is also considered.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Stephen G. Naculich
Summary: The study examines the structure of the Regge limit of the (nonplanar) N = 4 SYM four-point amplitude in detail, calculating coefficients at different loop orders and verifying consistency with the expected infrared divergence structure. The results also motivate the conjecture of an all-orders relation between a coefficient and the Regge limit of the N = 8 supergravity four-point amplitude.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Gabriele Dian, Paul Heslop
Summary: We explore amplituhedron-like geometries defined similarly to the amplituhedron but with non-maximal winding number. The canonical form of these geometries corresponds to the product of parity conjugate amplitudes at tree and loop levels. The union of all these geometries can be described by physical inequalities and the globally oriented canonical form yields the square of the amplitude.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
I. L. Buchbinder, E. A. Ivanov, V. A. Ivanovskiy
Summary: The study introduces a novel bi-harmonic N = 4 superspace formulation for the N = 4 supersymmetric Yang-Mills theory in four dimensions. It solves the N = 4 SYM superfield constraints using on-shell N = 2 harmonic superfields, aiding in constructing manifestly N = 4 supersymmetric invariants and rewriting them in N = 2 harmonic superspace. Additionally, the N = 4 superfield form of the leading term in the N = 4 SYM effective action, previously known in N = 2 superspace formulation, is presented.
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
Dmitry Chicherin, Paul Heslop, Gregory P. Korchemsky, Emery Sokatchev
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
F. Aprile, J. M. Drummond, P. Heslop, H. Paul
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
F. Aprile, J. M. Drummond, P. Heslop, H. Paul
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Paul Heslop, Vuong-Viet Tran
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
F. Aprile, J. M. Drummond, P. Heslop, H. Paul
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Paul Heslop, Alastair Stewart
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Theresa Abl, Paul Heslop, Arthur E. Lipstein
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
F. Aprile, J. M. Drummond, P. Heslop, H. Paul
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Theresa Abl, Paul Heslop, Arthur E. Lipstein
Summary: A systematic procedure is proposed to obtain all single trace 1/2-BPS correlators in N=4 super Yang-Mills theory corresponding to the four-point tree-level amplitude for type IIB string theory in AdS(5) x S-5. This involves computing generalised contact Witten diagrams from a 10-dimensional effective field theory on AdS(5) x S-5 whose coefficients are determined by the flat space Virasoro-Shapiro amplitude, with ambiguities related to commutators of 10-dimensional covariant derivatives that require additional information like localisation. Stringy corrections to the supergravity prediction for all single trace 1/2-BPS correlators up to O(alpha' (7)) are computed as an illustration of this procedure, along with a general algorithm for extending it to any order in alpha'.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Gabriele Dian, Paul Heslop
Summary: We explore amplituhedron-like geometries defined similarly to the amplituhedron but with non-maximal winding number. The canonical form of these geometries corresponds to the product of parity conjugate amplitudes at tree and loop levels. The union of all these geometries can be described by physical inequalities and the globally oriented canonical form yields the square of the amplitude.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Theresa Abl, Paul Heslop, Arthur E. Lipstein
Summary: This paper applies the ten-dimensional conformal symmetry and the ten-dimensional scalar effective field theory to the calculation of correlators of hypermultiplets in AdS(2) x S-2. It shows that 4-point correlators of 1/2-BPS operators on the 1-dimensional boundary can be computed using four-dimensional conformal symmetry and a four-dimensional effective action in the bulk.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Review
Physics, Multidisciplinary
Gabriele Travaglini, Andreas Brandhuber, Patrick Dorey, Tristan McLoughlin, Samuel Abreu, Zvi Bern, N. Emil J. Bjerrum-Bohr, Johannes Bluemlein, Ruth Britto, John Joseph M. Carrasco, Dmitry Chicherin, Marco Chiodaroli, Poul H. Damgaard, Vittorio Del Duca, Lance J. Dixon, Daniele Dorigoni, Claude Duhr, Yvonne Geyer, Michael B. Green, Enrico Herrmann, Paul Heslop, Henrik Johansson, Gregory P. Korchemsky, David A. Kosower, Lionel Mason, Ricardo Monteiro, Donal O'Connell, Georgios Papathanasiou, Ludovic Plante, Jan Plefka, Andrea Puhm, Ana-Maria Raclariu, Radu Roiban, Carsten Schneider, Jaroslav Trnka, Pierre Vanhove, Congkao Wen, Chris D. White
Summary: This is an introduction to a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory, aiming to provide an overview of the field from basic aspects to current research and developments in 2022.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Mathematical
Francesco Aprile, Paul Heslop
Summary: We establish a precise relation between superblocks for correlators of superconformal field theories and symmetric functions related to the BC root system. These superblocks are eigenfunctions of the super Casimir of the superconformal group and have various applications in different dimensional theories. The interaction between symmetric functions and SCFT leads to new results on both sides, including a new Cauchy identity that pairs the superconformal blocks with Sergeev-Veselov super Jacobi polynomials and yields the CPW decomposition of any free theory diagram.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Physics, Particles & Fields
F. Aprile, J. M. Drummond, P. Heslop, H. Paul, F. Sanfilippo, M. Santagata, A. Stewart
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Astronomy & Astrophysics
Francesco Aprile, James Drummond, Paul Heslop, Hynek Paul