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In this thesis, we study the integrands of a special four-point correlation function formed of protected half-BPS operators and scattering amplitudes in planar supersymmetric $\mathcal{N}=4$ Yang-Mills. We use the `soft-collinear bootstrap'…

高能物理 - 理论 · 物理学 2018-06-07 Vuong-Viet Tran

We evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR…

高能物理 - 理论 · 物理学 2013-10-03 Marco S. Bianchi , Marta Leoni , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio

Scattering amplitudes in planar ${\cal N}=4$ supersymmetric Yang-Mills theory are dual to expectation values of null polygonal Wilson loops. The Amplituhedron provides a geometric construction for the all-loop integrand as the canonical…

高能物理 - 理论 · 物理学 2026-05-29 Lance J. Dixon , Umut Oktem , Shruti Paranjape , Jaroslav Trnka , Yongqun Xu , Shun-Qing Zhang

The dual formulation of planar N = 4 super-Yang-Mills scattering amplitudes makes manifest that the integrand has only logarithmic singularities and no poles at infinity. Recently, Arkani-Hamed, Bourjaily, Cachazo and Trnka conjectured the…

高能物理 - 理论 · 物理学 2016-02-02 Zvi Bern , Enrico Herrmann , Sean Litsey , James Stankowicz , Jaroslav Trnka

Scattering amplitudes in planar N=4 super Yang-Mills theory reveal a remarkable symmetry structure. In addition to the superconformal symmetry of the Lagrangian of the theory, the planar amplitudes exhibit a dual superconformal symmetry.…

高能物理 - 理论 · 物理学 2015-05-20 J. M. Drummond

We present a general method to account for full colour dependence Yang-Mills amplitudes at loop level. The method fits most naturally into the framework of multi-loop integrand reduction and in a nutshell amounts to consistently retaining…

高能物理 - 唯象学 · 物理学 2017-02-22 Alexander Ochirov , Ben Page

We consider the maximal cut of a three-loop four point function with massless kinematics. By applying Groebner bases and primary decomposition we develop a method which extracts all ten propagator master integral coefficients for an…

高能物理 - 唯象学 · 物理学 2015-06-05 Simon Badger , Hjalte Frellesvig , Yang Zhang

We summarise results for the running coupling from the four-gluon vertex in Landau gauge, SU($N_c$) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. These functions have been…

高能物理 - 唯象学 · 物理学 2009-05-18 Christian Kellermann , Christian S. Fischer

Recently it has been proposed that gluon scattering amplitudes in gauge theory can be computed from the D-instanton expansion of the topological B-model on P^{3|4}, although only maximally helicity violating (MHV) amplitudes have so far…

高能物理 - 理论 · 物理学 2009-11-10 Radu Roiban , Marcus Spradlin , Anastasia Volovich

We present a systematic framework for the maximally-transcendental part of planar QCD scattering amplitudes and perform the first bootstrap computation of six-gluon MHV amplitudes in massless QCD at the symbol level. By analyzing the…

高能物理 - 理论 · 物理学 2026-02-04 Sérgio Carrôlo , Dmitry Chicherin , Johannes Henn , Qinglin Yang , Yang Zhang

By taking the high-energy limit of the two-loop and the three-loop four-point amplitudes in the maximally supersymmetric N=4 Yang-Mill theory (MSYM), we test the validity of the loop expansion of the high-energy amplitude, beyond the…

高能物理 - 理论 · 物理学 2009-11-19 V. Del Duca , E. W. N. Glover

We study the first non-planar correction to gluon scattering amplitudes in ${\cal N}=4$ SYM theory. The correction takes the form of a double trace partial amplitude and is suppressed by one power of $1/N$ with respect to the leading single…

高能物理 - 理论 · 物理学 2018-09-26 Roy Ben-Israel , Alexander G. Tumanov , Amit Sever

Scattering amplitudes with spinning particles are shown to decompose into multiple copies of simple building blocks to all loop orders, which can be used to efficiently reduce these amplitudes to sums over scalar integrals. Absence of…

高能物理 - 唯象学 · 物理学 2018-05-28 Rutger H. Boels , Qingjun Jin , Hui Luo

The planar three-gluon form factor for the chiral stress tensor operator in planar maximally supersymmetric Yang-Mills theory is an analog of the Higgs-to-three-gluon scattering amplitude in QCD. The amplitude (symbol) bootstrap program has…

高能物理 - 理论 · 物理学 2025-04-17 Tianji Cai , François Charton , Kyle Cranmer , Lance J. Dixon , Garrett W. Merz , Matthias Wilhelm

We compute the leading-color contribution to four-particle scattering amplitude in four-dimensional conformal fishnet theory that arises as a special limit of $\gamma$-deformed $\mathcal N=4$ SYM. We show that the single-trace partial…

高能物理 - 理论 · 物理学 2019-09-04 G. P. Korchemsky

We review recent progress on the calculation of scattering amplitudes in the high-energy limit. We start by illustrating the shockwave formalism, which allows one to calculate amplitudes as iterated solutions of rapidity evolution…

高能物理 - 唯象学 · 物理学 2021-11-10 Leonardo Vernazza , Giulio Falcioni , Einan Gardi , Niamh Maher , Calum Milloy

We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations…

高能物理 - 唯象学 · 物理学 2019-02-20 Simon Badger , Christian Brønnum-Hansen , Heribertus Bayu Hartanto , Tiziano Peraro

We introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar N=4 supersymmetric Yang-Mills theory and generalize the existing factorization into building blocks at two loops to all loop orders. Afterwards,…

We study high-energy scattering at fixed angle in the planar limit of non-Abelian gauge field theories from type IIB superstring theory scattering amplitudes. Firstly, we consider four-glueball scattering described in terms of the…

高能物理 - 理论 · 物理学 2024-12-12 Lucas Martin , Martin Parlanti , Martin Schvellinger

We present compact analytic formulae for the one-loop amplitudes for Higgs + 4 parton scattering, $0 \to g g g g h$, $0 \to \bar{q} q gg h$ and $0\to \bar{q} q \bar{q}^\prime q^\prime h$, mediated by a loop of massive coloured quarks. We…

高能物理 - 唯象学 · 物理学 2022-06-24 Lucy Budge , John M. Campbell , Giuseppe De Laurentis , R. Keith Ellis , Satyajit Seth