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We discuss the evaluation of the real part of the elementary amplitudes in the context of a multiple diffraction model for $pp$ elastic scattering earlier developed. The framework is based on the concepts of analyticity and polynomial…

高能物理 - 唯象学 · 物理学 2009-10-31 A. F. Martini , M. J. Menon , J. T. S. Paes , M. J. Silva Neto

The relativistic scattering of a spin-1/2 particle from an infinitely long solenoid is considered in the framework of covariant perturbation theory. The first order term agrees with the corresponding term in the series expansion of the…

高能物理 - 理论 · 物理学 2009-10-31 M. Boz , N. K. Pak

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

高能物理 - 理论 · 物理学 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera

The scattering equation formalism for scattering amplitudes, and its stringy incarnation, the ambitwistor string, remains a mysterious construction. In this paper, we pursue the study a gauged-unfixed version of the ambitwistor string known…

高能物理 - 理论 · 物理学 2017-11-22 Eduardo Casali , Yannick Herfray , Piotr Tourkine

We show that the evaluation of scattering amplitudes can be formulated as a problem of multivariate polynomial division, with the components of the integration-momenta as indeterminates. We present a recurrence relation which, independently…

高能物理 - 唯象学 · 物理学 2015-06-05 Pierpaolo Mastrolia , Edoardo Mirabella , Giovanni Ossola , Tiziano Peraro

We derive a new integral equation that allows the calculation of the scattering or annihilation amplitude of two particles subjected to two potentials when the corresponding amplitude for one potential only is known. We assume that…

高能物理 - 唯象学 · 物理学 2010-07-20 Luca Visinelli , Paolo Gondolo

In the framework of a toy model which possesses the main features of QCD in the high energy limit, we conduct a numerical study of scattering amplitudes constructed from parton splittings and projectile-target multiple interactions, in a…

高能物理 - 唯象学 · 物理学 2008-11-26 S. Munier , F. Schwennsen

In any consistent massive quantum field theory there are well known bounds on scattering amplitudes at high energies. In conformal field theory there is no scattering amplitude, but the Mellin amplitude is a well defined object analogous to…

高能物理 - 理论 · 物理学 2020-03-18 Matthew Dodelson , Hirosi Ooguri

We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our…

高能物理 - 理论 · 物理学 2016-07-08 Robi Peschanski , Shigenori Seki

We uncover a relation between the scattering amplitudes of massive strings and the $\alpha'$ expansion of the massless string amplitude at tree level. More precisely, the n-point tree amplitude of n-1 massless and one massive state is…

高能物理 - 理论 · 物理学 2023-11-22 Sitender Pratap Kashyap , Carlos R. Mafra , Mritunjay Verma , Luis Alberto Ypanaqué

Using the classical recursion relations we compute scattering amplitudes in a spontaneously broken Gauge-Higgs theory into final states involving high multiplicities of massive vector bosons and Higgs bosons. These amplitudes are computed…

高能物理 - 唯象学 · 物理学 2015-06-23 Valentin V. Khoze

A new unitarization approach is discussed and applied to study the elastic $\pi K$ scattering process. The existence of the light $\kappa$ resonance is firmly established if the scattering length in the I=1/2 channel does not deviate too…

高能物理 - 唯象学 · 物理学 2009-11-10 H. Q. Zheng , Z. Y. Zhou , G. Y. Qin , Z. G. Xiao

This thesis describes some of the recent (and some less recent) developments in calculational techniques for scattering amplitudes in quantum field theory. The focus is on on-shell recursion relations in complex momenta and on the use of…

高能物理 - 理论 · 物理学 2008-04-22 Kasper Risager

This thesis is focused on the development of new mathematical methods for computing multi-loop scattering amplitudes in gauge theories. In this work we combine, for the first time, the unitarity-based construction for integrands, and the…

高能物理 - 唯象学 · 物理学 2014-10-21 Ulrich Schubert

We derive an expression for the relation between two scattering transition amplitudes which reflect the same dynamics, but which differ in the description of their initial and final state vectors. In one version, the incident and scattered…

高能物理 - 理论 · 物理学 2009-10-30 Kurt Haller

We discuss the general behavior of the scattering amplitude with channel couplings near the two-body threshold. It is known that the Flatt\'{e} amplitude, which is often used in the analysis of experimental data involving exotic hadrons,…

高能物理 - 唯象学 · 物理学 2024-05-15 Katsuyoshi Sone , Tetsuo Hyodo

We provide a new set of on-shell recursion relations for tree-level scattering amplitudes, which are valid for any non-trivial theory of massless particles. In particular, we reconstruct the scattering amplitudes from (a subset of) their…

高能物理 - 理论 · 物理学 2015-05-28 Paolo Benincasa , Eduardo Conde

We review different notions of cuts appearing throughout the literature on scattering amplitudes. Despite similar names, such as unitarity cuts or generalized cuts, they often represent distinct computations and distinct physics. We…

高能物理 - 理论 · 物理学 2025-01-09 Ruth Britto , Claude Duhr , Holmfridur S. Hannesdottir , Sebastian Mizera

The scattering amplitude for the longitudinal weak bosons is investigated in the SU(3) gauge-Higgs unification as a function of the scattering energy, the Wilson line phase \theta_H and the warp factor. The \theta_H-dependence of the…

高能物理 - 唯象学 · 物理学 2009-07-22 Naoyuki Haba , Yutaka Sakamura , Toshifumi Yamashita

Using the AdS/CFT correspondence and the eikonal approximation, we evaluate the elastic parton-parton scattering amplitude at large $N$ and strong coupling $g^2N$ in N=4 SYM. We obtain a scattering amplitude with a Regge behavior that…

高能物理 - 理论 · 物理学 2009-10-31 Mannque Rho , Sang-Jin Sin , Ismail Zahed