Results 21 to 30 of about 225,577 (311)

Scattering Amplitudes with Open Loops [PDF]

Physical Review Letters, 2012
5 pages, 3 figures; v2: Comment on ordering added after eq. (6); typos in eqs. (14,16,17) corrected; various cosmetic changes; reference added.
Cascioli, F, Maierhöfer, P, Pozzorini, S   +2 more
openaire   +4 more sources

Likelihood equations and scattering amplitudes [PDF]

Algebraic Statistics, 2021
We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics. The scattering potential plays the role of the log-likelihood function, and its critical points are solutions to rational function equations.
Sturmfels, B., Telen, S.
openaire   +3 more sources

Faddeev-type equations for three-body symmetry violating scattering amplitudes [PDF]

, 2010
The equations which relate three-body and two-body symmetry violating scattering amplitudes are derived in the first order of symmetry violating interactions.
L. D. Faddeev, Vladimir Gudkov, W. Glöckle, Young-Ho Song   +3 more
core   +3 more sources

ANALYTIC SCATTERING AMPLITUDES FOR QCD [PDF]

Proceedings of the Conference in Honor of C N Yang's 85th Birthday, 2008
By analytically continuing QCD scattering amplitudes through specific complexified momenta, one can study and learn about the nature and the consequences of factorization and unitarity. In some cases, when coupled with the largest time equation and gauge invariance requirement, this approach leads to recursion relations, which greatly simplify the ...
Vaman, Diana, Yao, York-Peng
openaire   +2 more sources

Three-loop helicity amplitudes for four-quark scattering in massless QCD

Journal of High Energy Physics, 2021
We compute the three-loop corrections to the helicity amplitudes for q q ¯ $$ \overline{q} $$ → Q Q ¯ $$ \overline{Q} $$ scattering in massless QCD. In the Lorentz decomposition of the scattering amplitude we avoid evanescent Lorentz structures and map ...
Fabrizio Caola, Amlan Chakraborty, Giulio Gambuti, Andreas von Manteuffel, Lorenzo Tancredi   +4 more
doaj   +1 more source

Full one-loop amplitudes from tree amplitudes [PDF]

, 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 ...
, A. Cafarella, A. Pukhov ., C. Anastasiou, F. Krauss, G. 't Hooft, G. Ossola, G. Ossola, G. Passarino, J.R. Andersen, Kirill Melnikov, M.L. Mangano, R. Britto, R.K. Ellis, R.K. Ellis, R.K. Ellis, R.K. Ellis, T. Binoth, W.B. Kilgore, Walter T Giele, Z. Bern, Zoltan Kunszt   +21 more
core   +2 more sources

Positive moments for scattering amplitudes [PDF]

Physical Review D, 2021
We find the complete set of conditions satisfied by the forward $2\to2$ scattering amplitude in unitarity and causal theories. These are based on an infinite set of energy dependent quantities -- the arcs -- which are dispersively expressed as moments of a positive measure defined at (arbitrarily) higher energies.
Bellazzini, Brando, Elias Miró, Joan, Rattazzi, Riccardo, Riembau, Marc, Riva, Francesco   +4 more
openaire   +3 more sources

Tree-Level Formalism [PDF]

, 2011
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 on the N=4 ...
Adamo T Mason L, Andreas Brandhuber, Arkani-Hamed N, Arkani-Hamed N Bourjaily J L Cachazo F Caron-Huot S Trnka J, Arkani-Hamed N Cachazo F Kaplan J, Badger S D, Badger S D, Badger S D, Benincasa P, Benincasa P Conde E, Bern Z, Bern Z Carrasco J J M Johansson H, Bill Spence, Boels R, Boels R, Boels R, Boels R H, Brandhuber A, Brandhuber A, Brandhuber A, Britto R, Bullimore M Mason L Skinner D, Cachazo F, Cachazo F, Cachazo F, Cachazo F Svrcek P, Dixon L J, Dixon L J, Drummond J M, Eden R J, Elvang H, Elvang H, Elvang H, Ettle J H, Ettle J H, Feng B He S Huang R Jia Y, Feng H, Fu C H, Gabriele Travaglini, Gang D Huang Y T Koh E Lee S Lipstein A E, Georgiou G, Georgiou G, Gorsky A, Gukov S, Hodges A, Hodges A P, Hodges A P, Hodges A P, Mansfield P, Mason L J, Mason L Skinner D, Ozeren K J, Quigley C, Risager K, Roiban R, Thorn C B   +55 more
core   +1 more source

Scattering Amplitudes: Celestial and Carrollian

Physical Review Letters, 2022
21 ...
Arjun Bagchi, Shamik Banerjee, Rudranil Basu, Sudipta Dutta   +3 more
openaire   +3 more sources

Soft radiation from scattering amplitudes revisited

Journal of High Energy Physics, 2021
We apply the recently developed formalism by Kosower, Maybee and O’Connell (KMOC) [12] to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in D ≥ 4 dimensions.
A. Manu, Debodirna Ghosh, Alok Laddha, P. V. Athira   +3 more
doaj   +1 more source