Article
Physics, Particles & Fields
Congkao Wen, Shun-Qing Zhang
Summary: This paper studies the perturbative aspects of recently proposed integrated four-point correlators in N = 4 supersymmetric Yang-Mills theory with all classical gauge groups. It is found that the perturbative contributions of the integrated correlators can be given by linear combinations of periods of certain conformal Feynman graphs, which allows for high loop order evaluations. The results obtained from these computations are in agreement with those obtained from supersymmetric localisation, indicating non-trivial relations between the integrated correlators and certain periods.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Shai M. Chester, Michael B. Green, Silviu S. Pufu, Yifan Wang, Congkao Wen
Summary: The study focuses on the modular invariants in the four-point functions of stress tensor multiplet operators in the N = 4 SU(N) super-Yang-Mills theory, revealing their forms at different orders in the 1/N expansion and their implications for the low-energy expansion in superstring theory and the analogous expansion in AdS(5) x S-5. The results provide evidence that these modular invariants are related to non-holomorphic Eisenstein series and generalized Eisenstein series at different orders in 1/N, shedding light on the structure of the expansions in higher-dimensional spaces.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Song He, Zhenjie Li, Chi Zhang
Summary: This study investigates the scalar component of the two-loop 8-point next-to-next-to-maximally-helicity-violating ((NMHV)-M-2) amplitude in N = 4 super-Yang-Mills theory. By computing two types of non-trivial integrals with one-loop infrared (IR) divergences, we obtain the two-loop 8-point integrals and derive the IR-safe ratio function after subtracting divergences. This is the first explicit calculation of the genuine two-loop (NMHV)-M-2 amplitude.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Theresa Abl, Martin Sprenger
Summary: This paper investigates the multi-Regge limit of scattering amplitudes in strongly-coupled N = 4 super Yang-Mills and finds that the set of possible excitations appearing in analytic continuation is constrained. It also shows that the BFKL eigenvalue of any possible Reggeon bound state is a multiple of the eigenvalue in the six-gluon case.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Gang Chen, Henrik Johansson, Fei Teng, Tianheng Wang
Summary: The study explores the kinematic numerators of NMHV amplitudes in Yang-Mills theory, introducing a new kinematic algebra using tensor currents and fusion rules. By using algebraic rules and commutators, other numerators can be generated, and a closed-form expression for the master BCJ numerator is conjectured. A method based on group algebra of the permutation group is employed to solve for the generalized gauge freedom of BCJ numerators, providing a complete set of NMHV kinematic numerators consisting of pure gauge.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Emmet P. Byrne, Vittorio Del Duca, Lance J. Dixon, Einan Gardi, Jennifer M. Smillie
Summary: This study addresses the one-loop contribution of the two-gluon CEV in N=4 super Yang-Mills theory and finds that its dispersive part can be factorized into two-gluon CEVs. Although computed in a specific limit, these results capture the complexity of six-gluon amplitudes in general cases.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Silvia Nagy, Javier Peraza
Summary: Working in the self-dual sector, this study demonstrates the construction of an extended phase space at null infinity for Yang-Mills and gravity theories, considering all orders in the radial expansion. It formalizes the symmetrical origin of the infrared behavior and presents a new double copy mapping between YM gauge transformations and diffeomorphisms.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Michael B. Green, Congkao Wen
Summary: This paper looks at a specific class of n-point correlation functions in the context of N = 4 supersymmetric SU(N) Yang-Mills theory. These correlators violate the U(1)(Y) charge by a maximum of 2(n - 4) units and satisfy recursion relations similar to the soft dilaton relations in type IIB superstring theory. The Mellin representations of these correlators correspond to higher derivative contact terms in the low-energy expansion of type IIB superstring theory in AdS(5)x S-5.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Review
Physics, Nuclear
Johannes M. Henn
Summary: Research efforts are focused on developing new methods for quantum chromodynamics (QCD) calculations, with insights from the N = 4 super Yang-Mills theory. Recent developments in N = 4 sYM have led to advances in scattering amplitudes, geometrical structures, and Feynman integral calculations. These insights and tools have the potential to further enhance state-of-the-art calculations for physics at the Large Hadron Collider (LHC).
ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, VOL 71, 2021
(2021)
Article
Physics, Particles & Fields
Dmitry Chicherin, Johannes Henn
Summary: We compute the two-loop result for the null pentagonal Wilson loop with a Lagrangian insertion in planar, maximally supersymmetric Yang-Mills theory. The result is closely related to the Amplituhedron and finite parts of planar two-loop five-particle scattering amplitudes. We find that the leading singularities are given by the same expressions as all-plus pure Yang-Mills amplitudes, and the accompanying weight-four transcendental functions are expressed in terms of a subset of the pentagon functions observed in planar two-loop five-particle amplitudes. The observables have interesting asymptotic limits and are consistent with soft and collinear limits.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Matthias R. Gaberdiel, Rajesh Gopakumar
Summary: In this study, a worldsheet description for the AdS(5) x S-5 string theory was proposed, dual to the large N, free N = 4 supersymmetric Yang-Mills theory. The worldsheet theory is a natural generalization of the tensionless string on AdS(3) x S-3 x T-4, with free field description and spectrally flowed sectors. By imposing a set of residual gauge constraints on the reduced oscillator Fock space, the physical spectrum of the string theory can be determined, reproducing the planar spectrum of single trace operators of the free supersymmetric Yang-Mills theory.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Shai M. M. Chester, Ross Dempsey, Silviu S. S. Pufu
Summary: We use supersymmetric localization and numerical bootstrap techniques to calculate upper bounds on the low-lying CFT data of N=4 super-Yang-Mills theory as a function of complexified gauge coupling tau. We extract the scaling dimension of the lowest-lying unprotected scalar operator and its OPE coefficient from the stress tensor multiplet four-point function. While our method is applicable to any gauge group G, we focus on G=SU(2) and SU(3) for simplicity. At weak coupling, the upper bounds we find are very close to the corresponding four-loop results. We also provide preliminary evidence that these upper bounds become small islands under reasonable assumptions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Konglong Wu, Yi-Jian Du
Summary: This paper extends the expansion of tree-level YM amplitudes to off-shell level and proposes a general decomposition formula for off-shell Berends-Giele currents in YM. The decomposition formula consists of three terms, including an effective current, a term proportional to the total momentum of on-shell lines, and a term expressed by the sum of lower point Berends-Giele currents.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Giuseppe Bogna, Lionel Mason
Summary: The construction of perturbative quantities on non-linear backgrounds allows for the inclusion of strong field effects in perturbation theory. In this study, we continue the effort to construct QFT observables on self-dual backgrounds in Yang-Mills theory, extending previous work on amplitudes to form factors and incorporating supersymmetry. Our analysis, based on reconstruction from data at null infinity, is closely related to research on celestial and twisted holography. We explore form factors in both pure Yang-Mills and their supersymmetric counterparts in N = 4 SYM, focusing on self-dual backgrounds. Using new formulae for lifting operators to twistor space, we derive tree-level MHV form factors around these backgrounds, providing simple dressings of the corresponding form factors around the vacuum. We also discuss the potential for going beyond the MHV sector by introducing dressed versions of the MHV diagram propagator, and we explore generating functionals and dual conformal representations of the MHV all plus 1-loop amplitude.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Wei Fan, Angelos Fotopoulos, Stephan Stieberger, Tomasz R. Taylor, Bin Zhu
Summary: In this paper, we discuss the properties of recently constructed single-valued celestial four-gluon amplitudes. We find that the amplitude can be factorized into a current factor and a scalar factor. The current factor is determined by the group-dependent part of the Wess-Zumino-Witten correlator, while the scalar factor can be expressed as a complex integral.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
D. Chicherin, T. Gehrmann, J. M. Henn, P. Wasser, Y. Zhang, S. Zoia
PHYSICAL REVIEW LETTERS
(2019)
Article
Physics, Multidisciplinary
S. Badger, D. Chicherin, T. Gehrmann, G. Heinrich, J. M. Henn, T. Peraro, P. Wasser, Y. Zhang, S. Zoia
PHYSICAL REVIEW LETTERS
(2019)
Article
Physics, Particles & Fields
R. Bonciani, V. Del Duca, H. Frellesvig, J. M. Henn, M. Hidding, L. Maestri, F. Moriello, G. Salvatori, V. A. Smirnov
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Johannes Henn, Blaithin Power, Simone Zoia
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Johannes M. Henn, Gregory P. Korchemsky, Bernhard Mistlberger
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Johannes Henn, Bernhard Mistlberger, Vladimir A. Smirnov, Pascal Wasser
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Christoph Dlapa, Johannes Henn, Kai Yan
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
R. Brueser, C. Dlapa, J. M. Henn, K. Yan
Summary: The study focuses on divergences from soft gluon exchanges between heavy particles, calculating the first truly nonplanar terms at four loops and investigating the special contributions in color space. The general gauge theory result is specialized to U(1), yielding the complete QED four-loop angle-dependent cusp anomalous dimension.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Dmitry Chicherin, Johannes M. Henn, Georgios Papathanasiou
Summary: In this study, cluster algebras in Feynman integrals under dimensional regularization are explored, with a focus on four-point integrals with off-shell legs and their connection to C-2 and A 3 cluster algebras. New relations between clusters are discovered that have implications for various scattering processes. The connection between cluster algebras and generalized polylogarithmic functions is shown to be a fruitful area of investigation.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
D. Chicherin, J. M. Henn, E. Sokatchev, K. Yan
Summary: A new method for calculating event shapes in QCD based on correlation functions of conserved currents is presented, which has been applied to the maximally supersymmetric Yang-Mills theory. It is demonstrated that supersymmetry is not essential for the method. The results of computing the correlation function of four electromagnetic currents are compared to the standard amplitude calculation and may be of interest for the CFT community.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Review
Physics, Nuclear
Johannes M. Henn
Summary: Research efforts are focused on developing new methods for quantum chromodynamics (QCD) calculations, with insights from the N = 4 super Yang-Mills theory. Recent developments in N = 4 sYM have led to advances in scattering amplitudes, geometrical structures, and Feynman integral calculations. These insights and tools have the potential to further enhance state-of-the-art calculations for physics at the Large Hadron Collider (LHC).
ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE, VOL 71, 2021
(2021)
Article
Physics, Particles & Fields
Simon Badger, Christian Bronnum-Hansen, Dmitry Chicherin, Thomas Gehrmann, Heribertus Bayu Hartanto, Johannes Henn, Matteo Marcoli, Ryan Moodie, Tiziano Peraro, Simone Zoia
Summary: This study presents an analytic computation of the gluon-initiated contribution to diphoton plus jet production at hadron colliders up to two loops in QCD. The researchers reconstruct the analytic form of the finite remainders and provide a fast and stable implementation for the interference between one-loop and two-loop finite remainders in C++.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Dmitry Chicherin, Johannes M. Henn
Summary: Null Wilson loops in N = 4 super Yang-Mills theory are dual to planar scattering amplitudes, and have hidden symmetries. By integrating over the insertion point, one can obtain information about the amplitude. The study of the Wilson loop with a Lagrangian insertion reveals its leading singularities and symmetry properties. Surprisingly, the conformal symmetry becomes an invariance when the Lagrangian insertion point is sent to infinity. The action of higher Yangian charges on the Grassmannian integral is investigated using integrability methods.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Simon Caron-Huot, Dmitry Chicherin, Johannes Henn, Yang Zhang, Simone Zoia
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Astronomy & Astrophysics
J. M. Henn, E. Sokatchev, K. Iran, A. Zhiboedov
Article
Physics, Particles & Fields
Bogdan Damski
Summary: In this paper, we discuss the dynamics of field configurations in the Proca theory of the real massive vector field, specifically focusing on a certain class of electric (magnetic) dipole-charged states. We construct these states to ensure that the long-distance structure of the mean electromagnetic field is initially set by the formula describing the electromagnetic field of the electric (magnetic) dipole. We analyze the evolution of this mean electromagnetic field over time and observe the phenomena of harmonic oscillations of the electric (magnetic) dipole moment far from the center of the initial field configuration, as well as the emergence of a spherical shock wave propagating at the speed of light near the center. Additionally, we discover a unique axisymmetric mean electric field configuration accompanying the mean magnetic field in magnetic dipole-charged states.
Article
Physics, Particles & Fields
Brett McInnes
Summary: The time-dependence of AdS black hole interior geometries poses challenges to holographic duality and the traversability of wormholes. Quantum circuit complexity of strongly coupled matter can address the first challenge. Data from a phenomenological model show an upper bound on the complexity growth rate, which becomes stricter with the addition of angular momentum. The slowing of black hole interior dynamics at high specific angular momentum also occurs.
Article
Physics, Particles & Fields
M. Beccaria, S. Giombi, A. A. Tseytlin
Summary: This article investigates the superconformal index Z of the 6d (2,0) theory on S5 x S1 and describes it using the quantum M2 brane theory in the large N limit. By studying M2 branes in a twisted product of thermal AdS7 and S4, the leading non-perturbative term at large N is shown to be reproduced by the 1-loop partition function of an instanton M2 brane wrapped on S1 x S2 with S2 c S4. Similarly, the partition function of a defect M2 brane wrapped on thermal AdS3 c AdS7 reproduces the BPS Wilson loop expectation value in the (2,0) theory. The article also comments on the analogy of these results with similar computations in the quantum M2 brane partition function in AdS4 x S7/DOUBLE-STRUCK CAPITAL Zk, which reproduced the corresponding localization expressions in the ABJM 3d gauge theory.
Article
Physics, Particles & Fields
Carlos Silva
Summary: This paper explores the nature of spacetime in quantum gravity based on a new version of the holographic principle that establishes a connection between string theory and polymer holonomy structures. The research findings suggest that, for this relationship to hold, spacetime must be perceived as emerging from a fundamental structure with degrees of freedom corresponding to quantum correlations only.
Article
Physics, Particles & Fields
A. Senol, H. Denizli, C. Helveci
Summary: This study investigates new physics using a Monte Carlo method, and the results show stronger limitations on anomalous quartic gauge couplings compared to previous experiments.