Results 1 to 10 of about 353,310 (187)
Δ-algebra and scattering amplitudes [PDF]
Journal of High Energy Physics, 2019 In this paper we study an algebra that naturally combines two familiar operations in scattering amplitudes: computations of volumes of polytopes using triangulations and constructions of canonical forms from products of smaller ones.
Freddy Cachazo +3 more
doaj +5 more sources
Massive color-kinematics duality and double-copy for Kaluza-Klein scattering amplitudes [PDF]
Journal of High Energy Physics, 2023 We study the structure of scattering amplitudes of massive Kaluza-Klein (KK) states under toroidal compactification. We present a shifting method to quantitatively derive the scattering amplitudes of massive KK gauge bosons and KK gravitons from the ...
Yao Li, Yan-Feng Hang, Hong-Jian He
doaj +2 more sources
Faddeev-type equations for three-body symmetry violating scattering amplitudes [PDF]
Phys.Rev.C82:028502,2010, 2010 The equations which relate three-body and two-body symmetry violating scattering amplitudes are derived in the first order of symmetry violating interactions. They can be used to obtain three-body symmetry violating scattering amplitudes from two-body symmetry violating scattering amplitudes calculated in low energy effective field theory.
L. D. Faddeev +3 more
arxiv +5 more sources
Amplitudes, observables, and classical scattering [PDF]
Journal of High Energy Physics, 2019 We present a formalism for computing classically measurable quantities directly from on-shell quantum scattering amplitudes. We discuss the ingredients needed for obtaining the classical result, and show how to set up the calculation to derive the result
David A. Kosower +2 more
doaj +7 more sources
Unifying relations for scattering amplitudes [PDF]
Journal of High Energy Physics, 2018 We derive new amplitudes relations revealing a hidden unity among a wideranging variety of theories in arbitrary spacetime dimensions. Our results rely on a set of Lorentz invariant differential operators which transmute physical tree-level scattering ...
Clifford Cheung +2 more
doaj +7 more sources
Natural boundaries for scattering amplitudes
SciPost Physics, 2023 Singularities, such as poles and branch points, play a crucial role in investigating the analytic properties of scattering amplitudes that inform new computational techniques.
Sebastian Mizera
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Learning scattering amplitudes by heart [PDF]
Physics Letters B, 2021 The canonical forms associated to scattering amplitudes of planar Feynman diagrams are interpreted in terms of masses of projectives, defined as the modulus of their central charges, in the hearts of certain t-structures of derived categories of quiver ...
Severin Barmeier, Koushik Ray
doaj +3 more sources
Full one-loop amplitudes from tree amplitudes [PDF]
JHEP 0804:049,2008, 2008 We establish an efficient polynomial-complexity algorithm for one-loop calculations, based on generalized $D$-dimensional unitarity. It allows automated computations of both cut-constructible {\it and} rational parts of one-loop scattering amplitudes from on-shell tree amplitudes.
+21 more
arxiv +5 more sources
Scattering Amplitudes and Toric Geometry [PDF]
Journal of High Energy Physics, 2013 In this paper we provide a first attempt towards a toric geometric interpretation of scattering amplitudes. In recent investigations it has indeed been proposed that the all-loop integrand of planar N=4 SYM can be represented in terms of well defined ...
A Amariti +47 more
core +6 more sources
String scattering amplitudes and deformed cubic string field theory
Physics Letters B, 2018 We study string scattering amplitudes by using the deformed cubic string field theory which is equivalent to the string field theory in the proper-time gauge.
Sheng-Hong Lai +3 more
doaj +4 more sources