|
1.
|
Deep Into the Amplituhedron: Amplitude Singularities at All Loops and Legs
/ Arkani-Hamed, Nima ; Langer, Cameron ; Srikant, Akshay Yelleshpur ; Trnka, Jaroslav
In this Letter we compute a canonical set of cuts of the integrand for maximally helicity violating amplitudes in planar supersymmetric Yang-Mills theory, where all internal propagators are put on shell. [...]
Published in Physical Review Letters 122 (2019)
10.1103/PhysRevLett.122.051601
arXiv:1810.08208
Fulltext:  XML PDF;
|
|
2.
|
Locality and Unitarity of Scattering Amplitudes from Singularities and Gauge Invariance
/ Arkani-Hamed, Nima ; Rodina, Laurentiu ; Trnka, Jaroslav
We conjecture that the leading two-derivative tree-level amplitudes for gluons and gravitons can be derived from gauge invariance together with mild assumptions on their singularity structure. [...]
Published in Physical Review Letters 120 (2018)
10.1103/PhysRevLett.120.231602
arXiv:1612.02797
Fulltext: PDF XML;
|
|
3.
|
Scattering forms and the positive geometry of kinematics, color and the worldsheet
/ Arkani-Hamed, Nima ; Bai, Yuntao ; He, Song ; Yan, Gongwang
The search for a theory of the S-Matrix over the past five decades has revealed surprising geometric structures underlying scattering amplitudes ranging from the string worldsheet to the amplituhedron, but these are all geometries in auxiliary spaces as opposed to the kinematical space where amplitudes actually live. [...]
Published in JHEP 1805 (2018) 096
10.1007/JHEP05(2018)096
arXiv:1711.09102
Fulltext: XML PDF (PDFA);
|
|
4.
|
Unwinding the amplituhedron in binary
/ Arkani-Hamed, Nima ; Thomas, Hugh ; Trnka, Jaroslav
We present new, fundamentally combinatorial and topological characterizations of the amplituhedron. [...]
Published in JHEP 1801 (2018) 016
10.1007/JHEP01(2018)016
arXiv:1704.05069
Fulltext: XML PDF (PDFA);
|
|
5.
|
Positive geometries and canonical forms
/ Arkani-Hamed, Nima ; Bai, Yuntao ; Lam, Thomas
Recent years have seen a surprising connection between the physics of scattering amplitudes and a class of mathematical objects — the positive Grassmannian, positive loop Grassmannians, tree and loop Amplituhedra — which have been loosely referred to as “positive geometries”. [...]
Published in JHEP 1711 (2017) 039
10.1007/JHEP11(2017)039
arXiv:1703.04541
Fulltext: XML PDF (PDFA);
|
|
6.
|
Unification and new particles at the LHC
/ Arkani-Hamed, Nima ; D’Agnolo, Raffaele ; Low, Matthew ; Pinner, David
Precision gauge coupling unification is one of the primary quantitative successes of low energy or split supersymmetry. [...]
Published in JHEP 1611 (2016) 082
10.1007/JHEP11(2016)082
arXiv:1608.01675
Fulltext: XML PDF (PDFA);
|
|
7.
|
Positive amplitudes in the amplituhedron
/ Arkani-Hamed, Nima ; Hodges, Andrew ; Trnka, Jaroslav
The all-loop integrand for scattering amplitudes in planar N = 4 $$ \mathcal{N}=4 $$ SYM is determined by an “amplitude form” with logarithmic singularities on the boundary of the amplituhedron. [...]
Published in JHEP 1508 (2015) 030
10.1007/JHEP08(2015)030
arXiv:1412.8478
Fulltext: XML PDF (PDFA);
|
|
8.
|
On-shell structures of MHV amplitudes beyond the planar limit
/ Arkani-Hamed, Nima ; Bourjaily, Jacob ; Cachazo, Freddy ; Postnikov, Alexander ; et al
We initiate an exploration of on-shell functions in N = 4 $$ \mathcal{N}=4 $$ SYM beyond the planar limit by providing compact, combinatorial expressions for all leading singularities of MHV amplitudes and showing that they can always be expressed as a positive sum of differently ordered Parke-Taylor tree amplitudes. [...]
Published in JHEP 1506 (2015) 179
10.1007/JHEP06(2015)179
arXiv:1412.8475
Fulltext: XML PDF (PDFA);
|
|
9.
|
Into the amplituhedron
/ Arkani-Hamed, Nima ; Trnka, Jaroslav
We initiate an exploration of the physics and geometry of the amplituhedron, starting with the simplest case of the integrand for four-particle scattering in planar N = 4 $$ \mathcal{N}=4 $$ SYM. [...]
Published in JHEP 1412 (2014) 182
10.1007/JHEP12(2014)182
arXiv:1312.7878
Fulltext: XML PDF (PDFA);
|
|
10.
|
The Amplituhedron
/ Arkani-Hamed, Nima ; Trnka, Jaroslav
Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams. [...]
Published in JHEP 1410 (2014) 030
10.1007/JHEP10(2014)030
arXiv:1312.2007
Fulltext: XML PDF (PDFA);
|
