Scattering amplitude
View article: Microlocal Regularity and Propagation of Singularities for Fourier Integral Operators with Rough Amplitudes
Microlocal Regularity and Propagation of Singularities for Fourier Integral Operators with Rough Amplitudes Open
This paper investigates the microlocal regularity properties of Fourier integral operators (FIOs) when their amplitudes exhibit a certain degree of roughness. We focus on analyzing how the singularities of distributions are transformed und…
View article: The Quantum Group Algebra of Solitonic Integrability
The Quantum Group Algebra of Solitonic Integrability Open
This paper provides a comprehensive exploration of the profound interplay between quantum group algebras and the theory of solitonic integrability. We delve into how quantum groups, as deformations of universal enveloping algebras of Lie a…
View article: Microlocal Regularity and Propagation of Singularities for Fourier Integral Operators with Rough Amplitudes
Microlocal Regularity and Propagation of Singularities for Fourier Integral Operators with Rough Amplitudes Open
This paper investigates the microlocal regularity properties of Fourier integral operators (FIOs) when their amplitudes exhibit a certain degree of roughness. We focus on analyzing how the singularities of distributions are transformed und…
View article: The Quantum Group Algebra of Solitonic Integrability
The Quantum Group Algebra of Solitonic Integrability Open
This paper provides a comprehensive exploration of the profound interplay between quantum group algebras and the theory of solitonic integrability. We delve into how quantum groups, as deformations of universal enveloping algebras of Lie a…
View article: The Magnus expansion in relativistic quantum field theory
The Magnus expansion in relativistic quantum field theory Open
We investigate the Magnus expansion of the $N$-operator in relativistic quantum field theory, which is related to the $S$-matrix via $S = e^{iN}$. We develop direct methods to compute matrix elements of the $N$-operator, which we refer to …
View article: Nucleon to Roper transition amplitudes and electromagnetic form factors
Nucleon to Roper transition amplitudes and electromagnetic form factors Open
The second excitation of the nucleon, the Roper, has properties differentiated from other low-lying nucleon resonances. Their properties challenge our understanding of the structure of the baryons in terms of the degrees of freedom from QC…
View article: Nucleon to Roper transition amplitudes and electromagnetic form factors
Nucleon to Roper transition amplitudes and electromagnetic form factors Open
The second excitation of the nucleon, the Roper, has properties differentiated from other low-lying nucleon resonances. Their properties challenge our understanding of the structure of the baryons in terms of the degrees of freedom from QC…
View article: The Magnus expansion in relativistic quantum field theory
The Magnus expansion in relativistic quantum field theory Open
We investigate the Magnus expansion of the $N$-operator in relativistic quantum field theory, which is related to the $S$-matrix via $S = e^{iN}$. We develop direct methods to compute matrix elements of the $N$-operator, which we refer to …
View article: Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories
Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories Open
Ancillary file accompanying the paper "Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories" submitted to arXiv.org and PRD providing all results for the spinning black hole trajectories, spin deflections and radiated…
View article: Relations between three-particle interactions in nuclear matter to observable quantities
Relations between three-particle interactions in nuclear matter to observable quantities Open
In the first part of this paper, we use the framework of the Fermi liquid theory to derive model-independent relations between the slope parameters of the symmetry energy and of the incompressibility in nuclear matter to three-particle int…
View article: De Sitter corrections to supertranslation Ward identity and soft graviton theorem
De Sitter corrections to supertranslation Ward identity and soft graviton theorem Open
We study the tree-level scattering of massless scalars followed by an emission of a soft graviton in the small compact region inside the static patch in de Sitter space. We derive in the small cosmological constant limit the perturbative c…
View article: De Sitter corrections to supertranslation Ward identity and soft graviton theorem
De Sitter corrections to supertranslation Ward identity and soft graviton theorem Open
We study the tree-level scattering of massless scalars followed by an emission of a soft graviton in the small compact region inside the static patch in de Sitter space. We derive in the small cosmological constant limit the perturbative c…
View article: Scattering of charged massive scalar waves by Kerr-Newman black holes
Scattering of charged massive scalar waves by Kerr-Newman black holes Open
The scattering of charged massive scalar waves by Kerr-Newman black holes, with incidence along the equatorial plane, is investigated in this work. The differential scattering cross section is computed using the partial wave method, with t…
View article: Gauge theories from scattering amplitudes with minimal assumptions
Gauge theories from scattering amplitudes with minimal assumptions Open
We revisit the emergence of a Yang-Mills symmetry in theories with massless spin 1 particles from fundamental physical properties of scattering amplitudes. In the standard proofs, some symmetry and reality properties of the coupling consta…
View article: Towards six W-boson amplitude at two loops
Towards six W-boson amplitude at two loops Open
We construct the planar integrand of the six-leg amplitude of massive W-bosons on the special Coulomb branch of the maximally supersymmetric Yang-Mills theory to two-loop order. We use the six-dimensional supersymmetric spinor-helicity for…
View article: Application of the Master Formula to Nuclear Dynamics and Scattering: Amplitude–Phase Unification, Non-Hermitian Effects, and Scattering Observables
Application of the Master Formula to Nuclear Dynamics and Scattering: Amplitude–Phase Unification, Non-Hermitian Effects, and Scattering Observables Open
This work extends the Master Formula for amplitude–phase dynamics, originally derived from the time-dependent Schrödinger equation (TDSE) with dissipative and decoherence effects, to nuclear many-body systems and scattering theory. We map …
View article: Application of the Master Formula to Nuclear Dynamics and Scattering: Amplitude–Phase Unification, Non-Hermitian Effects, and Scattering Observables
Application of the Master Formula to Nuclear Dynamics and Scattering: Amplitude–Phase Unification, Non-Hermitian Effects, and Scattering Observables Open
This work extends the Master Formula for amplitude–phase dynamics, originally derived from the time-dependent Schrödinger equation (TDSE) with dissipative and decoherence effects, to nuclear many-body systems and scattering theory. We map …
View article: Towards the two-loop electroweak corrections to the Drell-Yan process: the infrared structure
Towards the two-loop electroweak corrections to the Drell-Yan process: the infrared structure Open
We discuss the lepton-pair production process in Quantum Electrodynamics. We present the ultraviolet-renormalised and infrared-subtracted finite contribution of the second-order virtual corrections to the inclusive lepton-pair production c…
View article: Delay Quantization, Feedback Loops, and \pi-Step Parity Transitions: From Scale Identity to \mathbb Z_2 Topology of Self-Referential Scattering Networks
Delay Quantization, Feedback Loops, and \pi-Step Parity Transitions: From Scale Identity to \mathbb Z_2 Topology of Self-Referential Scattering Networks Open
Within the unified framework of frequency-domain scattering theory and feedback networks, networks with tunable closed-loop delays exhibit highly robust phase-step and group-delay-pulse phenomena across a wide range of physical platforms: …
View article: WSIG-QFT: Axioms, Theorems and Proofs\\for Windowed Scattering and Information Geometry\\in Quantum Field Theory
WSIG-QFT: Axioms, Theorems and Proofs\\for Windowed Scattering and Information Geometry\\in Quantum Field Theory Open
This paper constructs and rigorizes WSIG-QFT (Windowed Scattering \& Information-Geometry Quantum Field Theory): under weighted Mellin--logarithmic model and de Branges--Kreĭn (DBK) canonical system, uses Weyl--Heisenberg kinematic scale f…
View article: Traces of the $X(3960)$ state in the femtoscopic $D_s^+ D_s^- $ correlations
Traces of the $X(3960)$ state in the femtoscopic $D_s^+ D_s^- $ correlations Open
The femtoscopic $ D_s^+D_s^-$ correlations are investigated to predict the signature of the not-yet-established $X(3960)$ state reported by the LHCb Collaboration, in three scenarios: resonant, virtual, or bound. In the last two scenarios,…
View article: Transversity generalized parton distributions of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi mathvariant="normal">Δ</mml:mi> </mml:math> with the diquark spectator model
Transversity generalized parton distributions of the with the diquark spectator model Open
We show quark transversity generalized parton distributions (GPDs) of the Δ + isobar by using the diquark spectator model for the first time. First, this model is tested by electric charge, magnetic-dipole, and axial charge form factor…
View article: ALP-mediated Dark Matter-Nucleon Scattering
ALP-mediated Dark Matter-Nucleon Scattering Open
We perform a comprehensive analysis of dark matter-nucleon scattering via the exchange of axion-like particles (ALPs). At first sight, this might appear of little practical use, as non-relativistic scattering through pseudo-scalar interact…
View article: Delay Quantization, Feedback Loops, and \pi-Step Parity Transitions: From Scale Identity to \mathbb Z_2 Topology of Self-Referential Scattering Networks
Delay Quantization, Feedback Loops, and \pi-Step Parity Transitions: From Scale Identity to \mathbb Z_2 Topology of Self-Referential Scattering Networks Open
Within the unified framework of frequency-domain scattering theory and feedback networks, networks with tunable closed-loop delays exhibit highly robust phase-step and group-delay-pulse phenomena across a wide range of physical platforms: …
View article: New spectrum of charm-strange meson with constituent quark model $c\bar{s}$ contributions
New spectrum of charm-strange meson with constituent quark model $c\bar{s}$ contributions Open
We systematically investigate the $S$-wave interactions between Nambu-Goldstone bosons (NGBs) and charmed mesons in the $(S,I)=(1,0)$ sector using the chiral unitary approach. The scattering amplitudes incorporate both the Weinberg-Tomozaw…
View article: Traces of the $X(3960)$ state in the femtoscopic $D_s^+ D_s^- $ correlations
Traces of the $X(3960)$ state in the femtoscopic $D_s^+ D_s^- $ correlations Open
The femtoscopic $ D_s^+D_s^-$ correlations are investigated to predict the signature of the not-yet-established $X(3960)$ state reported by the LHCb Collaboration, in three scenarios: resonant, virtual, or bound. In the last two scenarios,…
View article: Angular phase-space integrals with four denominators through Mellin-Barnes
Angular phase-space integrals with four denominators through Mellin-Barnes Open
A bstract We compute four-denominator angular phase-space integrals using the Mellin-Barnes (MB) technique in dimensional regularisation. Independent of the scattering process, an angular integral can be categorised based on the nature of …
View article: WSIG-QFT: Axioms, Theorems and Proofs\\for Windowed Scattering and Information Geometry\\in Quantum Field Theory
WSIG-QFT: Axioms, Theorems and Proofs\\for Windowed Scattering and Information Geometry\\in Quantum Field Theory Open
This paper constructs and rigorizes WSIG-QFT (Windowed Scattering \& Information-Geometry Quantum Field Theory): under weighted Mellin--logarithmic model and de Branges--Kreĭn (DBK) canonical system, uses Weyl--Heisenberg kinematic scale f…
View article: Gravity MHV amplitudes via Berends-Giele currents
Gravity MHV amplitudes via Berends-Giele currents Open
A bstract Berends and Giele derived the Parke-Taylor formula for Yang-Mills MHV amplitudes by computing Berends-Giele currents involving gluons of all-plus and all-but-one-plus helicities. Remarkably, the all-plus current already encodes m…
View article: A Celestial Description of Planar Super‑Yang-Mills Theory
A Celestial Description of Planar Super‑Yang-Mills Theory Open
We extend the celestial Roiban‑Spradlin‑Volovich‑Witten (RSVW) formalism developed in our previous work to minitwistor superspace. Using the Drummond‑Henn formula for all tree‑level amplitudes in N = 4 supersymmetric Yang‑Mills (SYM) theor…