Recently, Arkani-Hamed proposed the existence of zeros in scattering amplitudes certain quantum field theories including cubic adjoint scalar theory <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>Tr</a:mi><a:mo stretchy="false">(</a:mo><a:msup><a:mi>ϕ</a:mi><a:mn>3</a:mn></a:msup><a:mo stretchy="false">)</a:mo></a:math>, <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>S</e:mi><e:mi>U</e:mi><e:mo...

A bstract We study a novel geometric expansion for scattering amplitudes in the planar sector of $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 super Yang-Mills theory, context Amplituhedron which reproduces all-loop integrand as canonical differential form on positive geometry. In paper by Arkani-Hamed, Henn and one authors, it was shown that this result can be recast terms negative geometries with certain hierarchy loops (closed...

In this paper, we study tree-level scattering amplitudes of scalar particles in the context effective field theories. We use tools similar to soft bootstrap build an ansatz for cyclically ordered and impose Bern-Carrasco-Johansson (BCJ) relations as a constraint. obtain set BCJ-satisfying solutions our procedure, which can be thought special higher-derivative corrections SU(N) nonlinear sigma model satisfying BCJ arbitrary multiplicity at leading order. The surprising outcome analysis is...

A bstract In this paper we study on-shell diagrams in 𝒩 &lt; 4 supersymmetric Yang-Mills (SYM) theory. These are gauge invariant objects which appear as cuts of loop integrands the context generalized unitarity and serve building blocks for amplitudes recursion relations. dual formulation, they associated with cells positive Grassmannian G + ( k , n ) functions can be reproduced canonical differential forms. While case = maximally theory all poles correspond to IR when momentum flows edges...

Recently, Arkani-Hamed et al. proposed the existence of zeros in scattering amplitudes certain quantum field theories including cubic adjoint scalar theory Tr($\phi^3$), $SU(N)$ non-linear sigma model (NLSM) and Yang-Mills (YM) theory. These hidden are special kinematic points where amplitude vanishes factorizes into a product lower-point amplitudes, similar to factorization near poles. In this letter, we show close connection between such color-kinematics duality. fact, all can be derived...

We investigate MHV tree-level gravity amplitudes as defined on the spinor-helicity variety. Unlike their gluon counterparts, do not have logarithmic singularities and admit Amplituhedron-like construction. Importantly, they are determined just by singularities, but rather numerators interesting zeroes. make a conjecture about uniqueness of numerator explore this feature from more mathematical perspective. This leads us to new approach for examining adjoints. outline steps our proposed proof...

We propose leveraging our proficiency for detecting Higgs resonances by using the as a tagging object new heavy physics. In particular, we argue that searches exotic production from decays of color-singlet fields with electroweak charges could beat current at Large Hadron Collider which look their to vectors. As an example, study and decay vectorlike leptons admit Yukawa couplings Standard Model leptons. find bounds run 2 are consistent anywhere hundreds many thousands Higgses having been...

In this letter, we study tree-level scattering amplitudes of scalar particles in the context effective field theories. We use tools similar to soft bootstrap build an ansatz for cyclically ordered and impose Bern-Carrasco-Johansson (BCJ) relations as a constraint. obtain set BCJ-satisfying solutions our procedure, which can be thought special higher-derivative corrections SU(N) non-linear sigma model satisfying BCJ arbitrary multiplicity at leading order. The surprising outcome analysis is...

We study a novel geometric expansion for scattering amplitudes in the planar sector of N=4 super Yang-Mills theory, context Amplituhedron which reproduces all-loop integrand as canonical differential form on positive geometry. In paper by Arkani-Hamed, Henn and one authors, it was shown that this result can be recast terms negative geometries with certain hierarchy loops (closed cycles) space loop momenta, represented lines momentum twistor space. One then calculate an order approximation...

In this paper we study on-shell diagrams in ${\cal N}{&lt;}4$ supersymmetric Yang-Mills (SYM) theory. These are gauge invariant objects which appear as cuts of loop integrands the context generalized unitarity and serve building blocks for amplitudes recursion relations. dual formulation, they associated with cells positive Grassmannian $G_+(k,n)$ functions can be reproduced canonical differential forms. While case N}{=}4$ maximally theory all poles correspond to IR when momentum flows edges...