Article
Physics, Multidisciplinary
Subham Dutta Chowdhury, Kausik Ghosh, Parthiv Haldar, Prashanth Raman, Aninda Sinha
Summary: We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy Wilson coefficients. Consideration of the positivity of the absorptive part leads to an interesting connection with the recently conjectured weak low spin dominance.
Article
Physics, Particles & Fields
Quentin Bonnefoy, Gauthier Durieux, Christophe Grojean, Camila S. Machado, Jasper Roosmale Nepveu
Summary: This article investigates the double copy of effective field theories (EFTs) in the context of generalized color-kinematics and KLT approaches. By systematically constructing scalar numerators from simpler seeds, it demonstrates applicability to any multiplicity and explores cases up to 6 points. The focus is on single-trace massless scalar EFTs, which also control higher-derivative corrections to gauge and gravity theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Nima Arkani-Hamed, Tzu-Chen Huang, Yu-tin Huang
Summary: The study reexamines the constraints imposed by causality and unitarity on the low-energy effective field theory expansion of four-particle scattering amplitudes, revealing a hidden totally positive structure similar to the positive geometries associated with grassmannians and amplituhedra, termed the EFT-hedron. By investigating the boundary structure of the EFT-hedron systematically, it provides linear and non-linear inequalities that must be satisfied by the EFT expansion in any theory. The EFT-hedron geometry and constraints are illustrated with various examples, including new consistency conditions on the scattering amplitudes of photons and gravitons in the real world.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Andrea Guerrieri, Amit Sever
Summary: This study presents a dual S-matrix bootstrap approach in dimensions greater than or equal to three, relying on the rigorously proven properties of scattering amplitudes. The approach provides numerical bounds for identical scalar particle scattering in four dimensions.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Joan Elias Miro, Andrea Guerrieri
Summary: The researchers developed a bootstrap approach to Effective Field Theories (EFTs) based on the concept of duality in optimization theory. By analyzing a set of EFTs for confining flux tubes, they obtained optimal bounds on the scattering amplitude of Goldstone excitations, leading to bounds on the Wilson coefficients of the EFT action. They also discussed the comparison between their approach and EFT positivity bounds.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Prashanth Raman, Aninda Sinha
Summary: This paper investigates the correspondence between geometric function theory and quantum field theory, using the crossing symmetric dispersion relation to examine the connection between GFT, QFT, and EFTs. It summarizes existing mathematical bounds on Taylor coefficients of Typically Real functions and shows their usefulness in bounding Wilson coefficients in the context of 2-2 scattering. The study also explores two-sided bounds on Wilson coefficients in the fully crossing symmetric situation, and discusses numerical implementation of GFT constraints and comparisons with other literature findings.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Valentin V. Khoze, Sebastian Schenk
Summary: At sufficiently high energies, the production of a large number of particles is allowed. However, in certain cases, the perturbative approach fails and an effective field theory is needed to describe the phenomena. By studying the effects of higher-dimensional operators in the effective field theory, we find that they contribute to an exponential growth factor.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Qingjun Jin, Ke Ren, Gang Yang
Summary: This study focuses on the two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD, including the construction of a basis set of operators and computing the two-loop minimal form factors. By analyzing the UV divergences of form factor results, extracting renormalization matrices, and studying the mixing behavior of operators, the research provides insights into the high-order top mass corrections in Higgs EFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
A. Dedes, P. Kozow, M. Szleper
Summary: This article investigates the effects of dimension-six operators in the Standard Model Effective Field Theory (SM EFT) on electroweak like-sign-W boson scattering at the high-luminosity LHC. It finds that these effects are important for a few operators, notably those involving interactions with transversely polarized vector bosons. Current global fits on Wilson coefficients suggest the possibility of observing an observable signal at the HL-LHC, which may not be achievable with the current LHC data set.
Review
Physics, Multidisciplinary
David A. Kosower, Ricardo Monteiro, Donal OConnell
Summary: This article reviews a formalism that connects certain classical observables to scattering amplitudes, and discusses its applications and implications in classical gravity. The double copy allows direct access to classical solutions in gravity, establishing a connection between scattering amplitudes and the geometric formulation of general relativity.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Review
Physics, Multidisciplinary
Zvi Bern, John Joseph Carrasco, Marco Chiodaroli, Henrik Johansson, Radu Roiban
Summary: Advances in scattering amplitudes have revealed the significance of color-kinematics and double-copy structures in various theories, providing a simplified approach for higher-order calculations. These findings have important implications for a unified framework of relativistic quantum theories.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Particles & Fields
Leonardo de la Cruz, Andres Luna, Trevor Scheopner
Summary: In this study, we investigate the interactions between two charged bodies in Yang-Mills using the framework of scattering amplitudes and effective field theory. Our results show that the linear and color impulses in a scattering event can be described concisely in terms of the eikonal phase, extending the applicability of a formula originally proposed for spinning particles.
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
Computer Science, Interdisciplinary Applications
B. Latosh
Summary: This article presents a new version of FeynGrav that supports Feynman rules for matter with non-vanishing mass and SU(N) Yang-Mills model. The gauge fixing procedure for gravity is revisited and interaction rules valid for an arbitrary gauge fixing parameter are derived. Several simple calculation examples are provided to illustrate the usage of the package.
COMPUTER PHYSICS COMMUNICATIONS
(2023)
Article
Physics, Particles & Fields
Yuta Hamada, Rinto Kuramochi, Gregory J. Loges, Sota Nakajima
Summary: We study positivity bounds in the presence of gravity, focusing on the gravitational positivity bound at tree-level and the one-loop Regge amplitude. Our findings show that the coefficients of higher-derivative operators allow for a certain degree of negativity. By estimating the potentially negative contributions in unitary Reggeized gravitational amplitudes, we demonstrate that the one-loop Regge amplitude can be derived by summing over Feynman diagrams. Our results suggest that the positivity bounds for the one-loop amplitude are not parametrically small, consistent with recent studies based on amplitude sum rules.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Piotr Tourkine, Alexander Zhiboedov
Summary: The paper tests the applicability of methods used to construct functions satisfying S-matrix axioms in four spacetime dimensions on two-dimensional S-matrices. It solves the problem of reconstructing scattering amplitude from particle production probability and discovers a fractal structure related to CDD ambiguities. The study also connects the convergence issue to coupling maximization in the two-dimensional S-matrix bootstrap.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Dean Carmi, Joao Penedones, Joao A. Silva, Alexander Zhiboedov
Summary: By utilizing Mellin space dispersion relations and Polyakov conditions, a family of sum rules applicable to Conformal Field Theories (CFTs) has been derived, emphasizing suppression of double twist operator contributions. The Wilson-Fisher model and holographic CFTs are examined, with new predictions and discussions on the influence of heavy operators in UV complete holographic theories provided.
Article
Physics, Particles & Fields
Gregory P. Korchemsky, Alexander Zhiboedov
Summary: We analyze the commutation relations of light-ray operators in conformal field theories. We first establish the algebra of light-ray operators built out of higher spin currents in free CFTs and find explicit expressions for the corresponding structure constants. The resulting algebras are remarkably similar to the generalized Zamolodchikov's W-infinity algebra in a two-dimensional conformal field theory. We then compute the commutator of generalized energy flow operators in a generic, interacting CFTs in d > 2. We show that it receives contribution from the energy flow operator itself, as well as from the light-ray operators built out of scalar primary operators of dimension increment Delta <= d - 2, that are present in the OPE of two stress-energy tensors. Commutators of light-ray operators considered in the present paper lead to CFT sum rules which generalize the superconvergence relations and naturally connect to the dispersive sum rules, both of which have been studied recently.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Gregory P. Korchemsky, Emery Sokatchev, Alexander Zhiboedov
Summary: This paper introduces a new class of collider-type observables in conformal field theories, known as generalized event shapes, which are sensitive to the longitudinal structure of the collision-produced state. It is shown that strong coupling corrections exhibit longitudinal broadening in the energy-energy correlation.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)