Grassmannians and form factors with q
                            2 = 0 in 


                                    
N


                                $$ \mathcal{N} $$
 =4 SYM theory

Bork, L. V.; Onishchenko, A. I.

doi:10.1007/jhep12(2016)076

Cited by 15 publications

(8 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Form factors of half-BPS operator are by now very well studied, both at weak [17][18][19][20][21][22][23][24][25][26] and strong coupling [27,28]. The extension to form factors of the on-shell diagram formalism and their formulation in terms of twistor variables, exhibiting an underlying Graßmannian geometry, have also been studied [29][30][31][32][33][34][35]. Yet, despite the availability of many perturbative results, the dual conformal symmetry properties of form factors of protected operators have not yet been investigated (see [36] for comments regarding the q 2 = 0 case).…”

Section: Introductionmentioning

confidence: 99%

Dual conformal invariance for form factors

Bianchi

Brandhuber

Panerai

et al. 2019

J. High Energ. Phys.

View full text Add to dashboard Cite

Form factors of the stress-tensor multiplet operator in N = 4 supersymmetric Yang-Mills reveal surprisingly simple structures similar to those appearing in scattering amplitudes. In this paper we show that, as for the case of amplitudes, they also enjoy dual conformal symmetry. We compute the dual conformal anomaly at one loop for an arbitrary number of particles and generic helicities, which matches the expression of the dual conformal anomaly of amplitudes, and perform explicit checks for MHV and NMHV one-loop form factors. In the NMHV case the realisation of dual conformal symmetry requires a delicate cancellation of offending terms arising from three-mass triangles, which we explicitly check in the case of the four-point NMHV form factor.

show abstract

Section: Introductionmentioning

confidence: 99%

Dual conformal invariance for form factors

Bianchi

Brandhuber

Panerai

et al. 2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Now we should recall that the Wilson lines were used here to describe scattering of two fast moving particles at high energy. 23 This restricts further our kinematics, so that p 1 ·p 2 = s/2 (s is the usual Mandelstam variable) and momentum transfer between two particles is restricted by two orthogonality conditions k · p 1 = k · p 2 = 0. The latter two conditions allow us to write down transverse momentum transfer as…”

Section: Virtual Part Of Lo Bfklmentioning

confidence: 99%

The all-loop conjecture for integrands of reggeon amplitudes in $$ \mathcal{N}=4 $$ SYM

Bolshov¹,

Bork²,

Onishchenko³

2018

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

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 tree-level amplitudes and loop integrands starting from corresponding expressions for on-shell amplitudes. The introduced gluing procedure is used to derive the BCFW recursions both for tree-level reggeon amplitudes and their loop integrands. In addition we provide predictions for the reggeon loop integrands written in the basis of local integrals. As a check of the correctness of the gluing operation at loop level we derive the expression for LO BFKL kernel in N = 4 SYM.

show abstract

“…Color-kinematics duality has been applied to compute form factors in [50,51]. Grassmannian and polytopes pictures were studied in [52,53,54,55,56]. The twistor formalism was applied to form factors in [57,58,59,60].…”

Section: Introductionmentioning

confidence: 99%

On-shell methods for form factors in $$\mathcal{N}=4$$ SYM and their applications

Yang

2020

Sci. China Phys. Mech. Astron.

View full text Add to dashboard Cite

Form factors are quantities that involve both asymptotic on-shell states and gauge invariant operators. They provide a natural bridge between on-shell amplitudes and off-shell correlation functions of operators, thus allowing us to use modern on-shell amplitude techniques to probe into the off-shell side of quantum field theory. In particular, form factors have been successfully used in computing the cusp (soft) anomalous dimensions and anomalous dimensions of general local operators. This review is intended to provide a pedagogical introduction to some of these developments. We will first review some amplitudes background using four-point amplitudes as main examples. Then we generalize these techniques to form factors, including (1) tree-level form factors, (2) Sudakov form factor and infrared singularities, and (3) form factors of general operators and their anomalous dimensions. Although most examples we consider are in N = 4 super-Yang-Mill theory, the on-shell methods are universal and are expected to be applicable to general gauge theories. *

show abstract

Grassmannians and form factors with q 2 = 0 in N $$ \mathcal{N} $$ =4 SYM theory

Cited by 15 publications

References 70 publications

Dual conformal invariance for form factors

Dual conformal invariance for form factors

The all-loop conjecture for integrands of reggeon amplitudes in $$ \mathcal{N}=4 $$ SYM

On-shell methods for form factors in $$\mathcal{N}=4$$ SYM and their applications

Contact Info

Product

Resources

About