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We derive pomeron vertex operators for bosonic strings and superstrings in the presence of D-branes. We demonstrate how they can be used in order to compute the Regge behavior of string amplitudes on D-branes and the amplitude of…

High Energy Physics - Theory · Physics 2011-03-07 Angelos Fotopoulos , Nikolaos Prezas

We study the modifications to decay amplitudes in heavy to heavy semileptonic decays with multiple hadrons in the final state due to intermediate heavy hadrons being off-shell or having a finite width. Combining Heavy Hadron Chiral…

High Energy Physics - Phenomenology · Physics 2024-12-13 Michele Papucci , Ryan Plestid

We investigate the construction of tree-level MHV gluon amplitudes in multiplet bases using BCFW recursion. The multiplet basis decomposition can either be obtained by decomposing results derived in (for example) the DDM basis or by…

High Energy Physics - Phenomenology · Physics 2015-10-06 Yi-Jian Du , Malin Sjodahl , Johan Thoren

We introduce a BCFW shift which can be used to recursively build the full Yang-Mills tree-level amplitude as a function of polarization vectors. Furthermore, in line with the recent results of arXiv:1612.02797, we conjecture that the…

High Energy Physics - Theory · Physics 2019-09-17 Laurentiu Rodina

Using newly proposed BCF/BCFW recursion relations, compact formulas are obtained for tree-level n-gluon amplitudes of helicity structure --++...+. We then make an extension of these recursion relations to include fermions of multi-flavors,…

High Energy Physics - Theory · Physics 2008-11-26 Mingxing Luo , Congkao Wen

Modern on-shell S-matrix methods may dramatically improve our understanding of perturbative quantum gravity, but current foundations of on-shell techniques for General Relativity still rely on off-shell Feynman diagram analysis. Here, we…

High Energy Physics - Theory · Physics 2015-05-20 David A. McGady , Laurentiu Rodina

We present a program to evaluate tree-level multi-gluon amplitudes with up to two of them off-shell. Furthermore, it evaluates squared amplitudes summed over colors and helicities for up to six external gluons. It employs both analytic…

High Energy Physics - Phenomenology · Physics 2015-06-18 M. Bury , A. van Hameren

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

In recent years, the BCFW construction provided a very powerful tool for computing scattering amplitudes as well as it shed light on the perturbation theory structure. In this talk, we discuss the long-standing issue of the boundary term…

High Energy Physics - Theory · Physics 2016-01-20 Paolo Benincasa

We explore the on-shell recursion for tree-level scattering amplitudes with massive spinning particles. Based on the factorization structure encoded in the same way by two different recursion relations, we conjecture an all-multiplicity…

High Energy Physics - Theory · Physics 2022-03-03 Achilleas Lazopoulos , Alexander Ochirov , Canxin Shi

We use massive spinor helicity formalism to study scattering amplitudes in $\mathcal{N}=2^*$ super-Yang-Mills theory in four dimensions. We compute the amplitudes at an arbitrary point in the Coulomb branch of this theory. We compute…

High Energy Physics - Theory · Physics 2022-08-15 Md. Abhishek , Subramanya Hegde , Dileep P. Jatkar , Arnab Priya Saha

Tree-level scattering amplitudes in Yang-Mills theory satisfy a recursion relation due to Berends and Giele which yields e.g. the famous Parke-Taylor formula for MHV amplitudes. We show that the origin of this recursion relation becomes…

High Energy Physics - Theory · Physics 2020-10-22 Tommaso Macrelli , Christian Saemann , Martin Wolf

A remarkable connection between BCFW recursion relations and constraints on the S-matrix was made by Benincasa and Cachazo in 0705.4305, who noted that mutual consistency of different BCFW constructions of four-particle amplitudes generates…

High Energy Physics - Theory · Physics 2011-08-04 Philip Schuster , Natalia Toro

Bipartite on-shell diagrams are the latest tool in constructing scattering amplitudes. In this paper we prove that a Britto-Cachazo-Feng-Witten (BCFW)-decomposable on-shell diagram process a rational top-form if and only if the algebraic…

High Energy Physics - Theory · Physics 2019-01-23 Baoyi Chen , Gang Chen , Yeuk-Kwan E. Cheung , Yunxuan Li , Ruofei Xie , Yuan Xin

Following the spirit of S-matrix program, we proposed a modified Britto-Cachazo-Feng-Witten recursion relation for tree amplitudes of noncommutative U(N) Yang-Mills theory. Starting from three-point amplitudes, one can use this modified…

High Energy Physics - Theory · Physics 2015-05-20 Jia-Hui Huang , Rijun Huang , Yin Jia

We emphasize that scattering amplitudes of a wide class of models to any order in the coupling are constructible by on-shell tree subamplitudes. This follows from the Feynman-tree theorem combined with BCFW on-shell recursion relations. In…

High Energy Physics - Theory · Physics 2016-05-18 M. Maniatis

In this paper, we propose a new algorithm to systematically determine the missing boundary contributions, when one uses the BCFW on-shell recursion relation to calculate tree amplitudes for general quantum field theories. After an…

High Energy Physics - Theory · Physics 2015-05-06 Bo Feng , Kang Zhou , Chenkai Qiao , Junjie Rao

In this paper, we provide a thorough study on the expansion of single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes, from various different perspectives. Using the gauge invariance…

High Energy Physics - Theory · Physics 2017-10-10 Chih-Hao Fu , Yi-Jian Du , Rijun Huang , Bo Feng

QCD amplitudes with many external fields have been studied for a long time. At tree-level, the amplitudes can be obtained effectively by the BCFW recursion relations. In this article, we extend the Britto-Cachazo-Feng-Witten (BCFW)…

High Energy Physics - Theory · Physics 2015-03-19 Gang Chen

We review two novel techniques used to calculate tree-level scattering amplitudes efficiently: MHV diagrams, and on-shell recursion relations. For the MHV diagrams, we consider applications to tree-level amplitudes and focus in particular…

High Energy Physics - Theory · Physics 2015-05-27 Andreas Brandhuber , Bill Spence , Gabriele Travaglini