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Related papers: Shifts in BCFW method for QED

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In this paper, we have introduced a fundamentally different approach, based on a bottom-up methodology, to expand tree-level Yang-Mills (YM) amplitudes into Yang-Mills-scalar (YMS) amplitudes and Bi-adjoint-scalar (BAS) amplitudes. Our…

High Energy Physics - Theory · Physics 2026-05-05 Chang Hu , Kang Zhou

The MHV or CSW expansion of tree-level Yang-Mills amplitudes provides an elegant and simple way of obtaining analytic formulas for S-matrix elements. Inspired by the BCFW technique, a systematic approach to obtain the MHV expansion was…

High Energy Physics - Theory · Physics 2012-12-07 Eduardo Conde , Sayeh Rajabi

We show that Britto-Cachazo-Feng-Witten (BCFW) recursion relations can be used to compute all tree level scattering amplitudes in terms of $2\rightarrow2$ scattering amplitude in $U(N)$ ${\mathcal N}=2$ Chern-Simons (CS) theory coupled to…

High Energy Physics - Theory · Physics 2018-10-17 Karthik Inbasekar , Sachin Jain , Pranjal Nayak , V. Umesh

The appearance of BCFW on-shell recursion relation has deepen our understanding of quantum field theory, especially the one with gauge boson and graviton. To be able to write the BCFW recursion relation, the knowledge of boundary…

High Energy Physics - Theory · Physics 2010-03-01 Bo Feng , Junqi Wang , Yihong Wang , Zhibai Zhang

We present our analysis of B physics quantities using non-perturbatively matched Heavy Quark Effective Theory (HQET) in Nf= 2 lattice QCD on the CLS ensembles. Using all-to-all propagators, HYP-smeared static quarks, and the Generalized…

High Energy Physics - Lattice · Physics 2012-10-31 F. Bernardoni , B. Blossier , J. Bulava , M. Della Morte , P. Fritzsch , N. Garron , A. Gérardin , J. Heitger , G. von Hippel , H. Simma , R. Sommer

We use the BLM method to fix the renormalization scale of the QCD coupling in exclusive hadronic amplitudes such as the pion form factor and the photon-to-pion transition form factor at large momentum transfer.…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. J. Brodsky , C. -R. Ji , A. Pang , D. G. Robertson

Tree amplitudes of any gauge theory and gravity can be factorized into primitive three-particle amplitudes by the BCFW recursion relations. We show that the amplitudes at any perturbation order are given by tree amplitudes with additional…

High Energy Physics - Theory · Physics 2021-12-13 Markos Maniatis

We study $\gamma\gamma$ scattering in noncommutative QED (NCQED) where the gauge field has Yang-Mills type coupling, giving new contributions to the scattering process and making it possible for it to occur at tree level. The process takes…

High Energy Physics - Phenomenology · Physics 2007-05-23 Namit Mahajan

We derive general tree-level recursion relations for amplitudes which include massive propagating particles. As an illustration, we apply these recursion relations to scattering amplitudes of gluons coupled to massive scalars. We provide…

High Energy Physics - Theory · Physics 2009-11-11 S. D. Badger , E. W. N. Glover , V. V. Khoze , P. Svrcek

We propose a recursion relation for tree-level scattering amplitudes in three-dimensional Chern-Simons-matter theories. The recursion relation involves a complex deformation of momenta which generalizes the BCFW-deformation used in higher…

High Energy Physics - Theory · Physics 2015-03-17 Dongmin Gang , Yu-tin Huang , Eunkyung Koh , Sangmin Lee , Arthur E. Lipstein

Recently, spin-one wavefunctions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary…

High Energy Physics - Theory · Physics 2017-11-01 Sabrina Pasterski , Shu-Heng Shao , Andrew Strominger

It is shown that the transition amplitudes of radiative electroweak processes like $e^-e^+ \to \nu_e \ol{\nu}_e \ga$, $\ga e^- \to \nu_e \ol{\nu}_e e^-$, and $\nu_e e^- \to \nu_e e^- \ga$ can be reduced and factorized into simpler forms in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Seungwon Baek , J. S. Shim , H. S. Song , Chaehyun Yu

We present a formulation of the Hamiltonian variational method for QED which enables the derivation of relativistic few-fermion wave equation that can account, at least in principle, for interactions to any order of the coupling constant.…

High Energy Physics - Theory · Physics 2009-11-11 Andrei G. Terekidi , Jurij W. Darewych , Marko Horbatsch

We investigate how loop-level propagators arise from tree level via a forward-limit procedure in two modern approaches to scattering amplitudes, namely the BCFW recursion relations and the scattering equations formalism. In the first part…

High Energy Physics - Theory · Physics 2020-10-28 Joseph A. Farrow , Yvonne Geyer , Arthur E. Lipstein , Ricardo Monteiro , Ricardo Stark-Muchão

The Cachazo-Svrcek-Witten (CSW) rule for efficiently calculating gauge theory amplitudes is extended to N=1 supersymmetric QCD (SQCD), incorporating massless quarks, in a way preserving the manifest supersymmetry. Using this extended CSW…

High Energy Physics - Theory · Physics 2008-11-26 Hiroshi Kunitomo

The recursive method of Berends and Giele to compute tree-level gluon amplitudes is revisited using the framework of ten-dimensional super Yang-Mills. First we prove that the pure spinor formula to compute SYM tree amplitudes derived in…

High Energy Physics - Theory · Physics 2016-04-12 Carlos R. Mafra , Oliver Schlotterer

We studied the sensitivity of the process $e^+e^-\to \ell \nu q\bar{q}'$ to anomalous trilinear gauge boson couplings of the $WW\gamma$ and WWZ vertices at the center of mass energies $\sqrt{s}=500$ GeV and 1 TeV. The bounds for the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Mikulas Gintner , Stephen Godfrey , Gilles Couture

Results for four-, five-, and six-parton tree amplitudes for massive quark-antiquark scattering with gluons are calculated using the recursion relations of Britto, Cachazo, Feng, and Witten. The required diagrams are generated using shifts…

High Energy Physics - Phenomenology · Physics 2008-11-26 Anthony Hall

We discuss the generalization of the leading-twist light-cone distribution amplitude for light mesons including QED effects. This generalization was introduced to describe virtual collinear photon exchanges above the strong-interaction…

High Energy Physics - Phenomenology · Physics 2021-11-24 Martin Beneke , Philipp Böer , Jan-Niklas Toelstede , K. Keri Vos

Recently a version of Lorentz-conserving noncommutative field theory (NCFT) has been suggested. The underlying Lie algebra of the theory is the same as that of Doplicher, Fredenhagen, and Roberts. In Lorentz-conserving NCFT the matrix…

High Energy Physics - Phenomenology · Physics 2009-11-10 Justin M. Conroy , Herry J. Kwee , Vahagn Nazaryan