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The computational technique of $N$-fold Mellin-Barnes (MB) integrals, presented in a companion paper by the same authors, is used to derive sets of series representations of the massive one-loop conformal 3-point Feynman integral in various…

高能物理 - 理论 · 物理学 2021-05-19 B. Ananthanarayan , Sumit Banik , Samuel Friot , Shayan Ghosh

Within the conjectured duality between N=4 super Yang-Mills and Anti-deSitter string theory, the BFKL Pomeron of the gauge theory corresponds to the graviton mode of the dual string. As a first step towards analyzing multigraviton exchange,…

高能物理 - 理论 · 物理学 2011-03-21 J. Bartels , J. Kotanski , A. -M. Mischler , V. Schomerus

We compute the two-loop result for the null pentagonal Wilson loop with a Lagrangian insertion (normalized by the Wilson loop without insertion) in planar, maximally supersymmetric Yang-Mills theory. This finite observable is closely…

高能物理 - 理论 · 物理学 2022-04-04 Dmitry Chicherin , Johannes Henn

We derive the fermion loop formulation of N=4 supersymmetric SU(N) Yang-Mills quantum mechanics on the lattice. The loop formulation naturally separates the contributions to the partition function into its bosonic and fermionic parts with…

高能物理 - 格点 · 物理学 2015-06-23 Kyle Steinhauer , Urs Wenger

We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory at six, seven, and eight loops, using boundary data from the form factor operator product expansion.…

高能物理 - 理论 · 物理学 2023-03-21 Lance J. Dixon , Omer Gurdogan , Andrew J. McLeod , Matthias Wilhelm

In this review we discuss some recent developments related to one-loop N = 4 super Yang-Mills scattering amplitudes calculated to all orders in epsilon. It is often the case that one-loop gauge theory computations are carried out to order…

高能物理 - 理论 · 物理学 2015-05-27 Robert M. Schabinger

We investigate analytic properties of the six point planar amplitude in N=4 SUSY at the multi-Regge kinematics for final state particles. For inelastic processes the Steinmann relations play an important role because they give a possibility…

高能物理 - 理论 · 物理学 2015-05-19 L. N. Lipatov

In the planar N = 4 supersymmetric Yang-Mills theory at weak coupling, we perform the first analytic computation of a two-loop eight-edged Wilson loop embedded into the boundary of AdS3. Its remainder function is given as a function of…

高能物理 - 理论 · 物理学 2014-11-21 Vittorio Del Duca , Claude Duhr , Vladimir A. Smirnov

We present a systematic method for reducing an arbitrary one-loop N-point massless Feynman integral with generic 4-dimensional momenta to a set comprised of eight fundamental scalar integrals: six box integrals in D=6, a triangle integral…

高能物理 - 唯象学 · 物理学 2009-11-10 G. Duplancic , B. Nizic

We study scattering amplitudes and form factors in planar $\mathcal{N}=4$ Super Yang-Mills theory in the limit where two pairs of gluons become collinear. We find that, when the virtualities of both collinear pairs are spacelike, the…

高能物理 - 理论 · 物理学 2025-07-09 Claude Duhr , Aniruddha Venkata , Chi Zhang

In this paper we present the all-loop conjecture for integrands of Wilson line form factors, also known as reggeon amplitudes, in N=4 SYM. In particular we present a new gluing operation in momentum twistor space used to obtain reggeon…

高能物理 - 理论 · 物理学 2018-08-01 A. E. Bolshov , L. V. Bork , A. I. Onishchenko

In a recent paper we have presented an automated subtraction method for divergent multi-loop/leg integrals in dimensional regularisation which allows for their numerical evaluation, and applied it to diagrams with massless internal lines.…

高能物理 - 唯象学 · 物理学 2008-11-26 T. Binoth , G. Heinrich

We compute four-point functions with two maximal giant gravitons and two chiral primary operators at three-loop order in planar $\mathcal{N}=4$ Super-Yang-Mills theory. The Lagrangian insertion method, together with symmetries of the theory…

高能物理 - 理论 · 物理学 2023-12-12 Yunfeng Jiang , Yu Wu , Yang Zhang

In this PhD thesis we extend the twistor formalism to encompass (partially) off-shell quantities. We describe all gauge-invariant local composite operators in twistor space and show that they immediately generate all tree-level form factors…

高能物理 - 理论 · 物理学 2017-12-21 Laura Koster

In this work we consider a heavy quark moving with constant proper acceleration in the vacuum of any four dimensional conformal field theory. We argue that the two-point function of its momentum fluctuations is exactly captured by the…

高能物理 - 理论 · 物理学 2015-06-15 Bartomeu Fiol , Blai Garolera , Genis Torrents

We introduce a novel, systematic method for the complete symbolic reduction of multi-loop Feynman integrals, leveraging the power of generating functions. The differential equations governing these generating functions naturally yield…

高能物理 - 唯象学 · 物理学 2026-01-30 Bo Feng , Xiang Li , Yuanche Liu , Yan-Qing Ma , Yang Zhang

These proceedings describe a computation of the large-$n_f$ terms contributing to the QCD splitting functions at the fourth order in the strong coupling constant $\alpha_s$. Using the FORCER package for the reduction of four-loop two-point…

高能物理 - 唯象学 · 物理学 2017-09-04 Joshua Davies

A classically scale-invariant 6d analog of the 4d Yang-Mills theory is the 4-derivative $ (\nabla F)^2 + F^3$ gauge theory with two independent couplings. Motivated by a search for a perturbatively conformal but possibly non-unitary 6d…

高能物理 - 理论 · 物理学 2019-11-04 Lorenzo Casarin , Arkady A. Tseytlin

We report on progress toward computing a four-loop supersymmetric form factor in maximally supersymmetric Yang-Mills theory. A representative example particle content from the involved supermultiplets is a stress-tensor operator with two…

高能物理 - 理论 · 物理学 2016-07-04 Rutger H. Boels , Bernd A. Kniehl , Gang Yang

The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in N=4 super Yang-Mills theory possesses a non-vanishing multi-Regge limit that depends on the choice of a Mandelstam region. We…

高能物理 - 理论 · 物理学 2023-02-22 Till Bargheer , Vsevolod Chestnov , Volker Schomerus