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We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW recursion. These representations are far from unique: varying…

High Energy Physics - Theory · Physics 2023-07-07 Jacob L. Bourjaily , Nikhil Kalyanapuram , Kokkimidis Patatoukos , Michael Plesser , Yaqi Zhang

The BCFW recursion relation allows to find out the tree-level scattering amplitudes for gluons and tensor gauge bosons in generalized Yang-Mills theory. We demonstrate that the corresponding MHV amplitudes for the tensor gauge bosons of…

High Energy Physics - Theory · Physics 2012-06-07 Ignatios Antoniadis , George Savvidy

Following~\cite{Arkani-Hamed:2017thz}, we derive a recursion relation by applying a one-parameter deformation of kinematic variables for tree-level scattering amplitudes in bi-adjoint $\phi^3$ theory. The recursion relies on properties of…

High Energy Physics - Theory · Physics 2019-05-28 Song He , Qinglin Yang

The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double…

High Energy Physics - Phenomenology · Physics 2015-06-23 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

Using BCFW on-shell recursion techniques, we prove a sequence of explicit n-point Kawai-Lewellen-Tye relations between gravity and Yang-Mills amplitudes at tree level.

High Energy Physics - Theory · Physics 2014-11-21 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Bo Feng , Thomas Sondergaard

We establish a set of new on-shell recursion relations for amplitudes satisfying soft theorems. The recursion relations can apply to those amplitudes whose additional physical inputs from soft theorems are enough to overcome the bad large-z…

High Energy Physics - Theory · Physics 2016-04-20 Hui Luo , Congkao Wen

We present a field theoretical proof of the conjectured KLT relation which states that the full tree-level scattering amplitude of gluons can be written as a product of color-ordered amplitude of gluons and color-ordered amplitude of…

High Energy Physics - Theory · Physics 2015-05-28 Yi-Jian Du , Bo Feng , Chih-Hao Fu

The complete QCD evolution equation for factorial moments in quark and gluon jets is numerically solved with initial conditions at threshold by fully taking into account the energy-momentum conservation law. Within the picture of Local…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergio Lupia

This paper gives a direct proof that the leading trace part of the genus zero twistor-string path integral obeys the BCFW recursion relation. This is the first complete proof that the twistor-string correctly computes all tree amplitudes in…

High Energy Physics - Theory · Physics 2011-03-07 David Skinner

The lattice gauge theory for curved spacetime is formulated. A discretized action is derived for both gluon and quark fields which reduces to the generally covariant form in the continuum limit. Using the Wilson action, it is shown…

High Energy Physics - Lattice · Physics 2015-01-29 Kristian Hauser Villegas , Jose Perico Esguerra

Single-spin asymmetries were long thought to vanish in high-energy scattering processes because of their specific time-reversal behavior. Time-reversal-odd phenomena, however, appear naturally when one includes effects of intrinsic…

High Energy Physics - Phenomenology · Physics 2009-02-19 P. J. Mulders

We utilise the fact that the CCFM equation in the single loop approximation can be diagonalised by the Fourier-Bessel transform. The analytic solution of the CCFM equation for the moments $f_{\omega}(b,Q)$ of the scale dependent gluon…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kwiecinski

We consider correlation functions of the stress-tensor or a conserved current in AdS_{d+1}/CFT_d computed using the Hilbert or the Yang-Mills action in the bulk. We introduce new recursion relations to compute these correlators at tree…

High Energy Physics - Theory · Physics 2013-05-30 Suvrat Raju

In this article a first step is made towards the extension of Britto-Cachazo-Feng-Witten (BCFW) tree level on-shell recursion relations to integrands and integrals of scattering amplitudes to arbitrary loop order. Surprisingly, it is shown…

High Energy Physics - Theory · Physics 2010-11-30 Rutger H. Boels

We present on the use of on-shell recursion relations. These can be used not only for calculating tree amplitudes, including those with masses, but also to compute analytically the missing rational terms of one-loop QCD amplitudes. Combined…

High Energy Physics - Phenomenology · Physics 2017-08-23 Darren Forde

Recently, it has been shown that on-shell scattering amplitudes can be constructed by the Feynman-tree theorem combined with the BCFW recursion relations. Since the BCFW relations are restricted to tree diagrams, the preceding application…

High Energy Physics - Theory · Physics 2018-03-20 Markos Maniatis

In this short review we briefly consider two topics in the higher spin gauge theory: the method of "tensorial (super) spaces" and application of BCFW recursion relations to higher spin fields.

High Energy Physics - Theory · Physics 2014-08-19 Mirian Tsulaia

The chirality-flow formalism, combined with good choices of gauge reference vectors, simplifies tree-level calculations to the extent that it is often possible to write down amplitudes corresponding to Feynman diagrams immediately. It has…

High Energy Physics - Phenomenology · Physics 2024-02-19 Emil Boman , Andrew Lifson , Malin Sjodahl , Adam Warnerbring , Zenny Wettersten

In this talk we discuss the results obtained in the new approach that we recently introduced to consider and include both the perturbative and nonperturbative contributions to the evolution of the gluon and quark avarage multiplicities. We…

High Energy Physics - Phenomenology · Physics 2012-11-26 P. Bolzoni

Recently, tree-level recursion relations for scattering amplitudes of gluons in Yang-Mills theory have been derived. In this note we propose a generalization of the recursion relations to tree-level scattering amplitudes of gravitons. We…

High Energy Physics - Theory · Physics 2007-05-23 Freddy Cachazo , Peter Svrcek