Tootfinder

This https://arxiv.org/abs/2504.00155 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Monte Carlo phase space integration of multiparticle cross sections with carlomat_4.5
Multidimensional phase space integrals must be calculated in order to obtain predictions for total or differential cross sections, or to simulate unweighted events of multiparticle reactions. The corresponding matrix elements, already in the leading order, receive contributions typically from dozens of thousands of the Feynman diagrams, many of which often involve strong peaks due to denominators of some Feynman propagators approaching their minima. As the number of peaks exceeds by far the num…

The Klein-Gordon equation on asymptotically Minkowski spacetimes: the Feynman propagator
Dean Baskin, Moritz Doll, Jesse Gell-Redman
https://arxiv.org/abs/2507.01600

The Klein-Gordon equation on asymptotically Minkowski spacetimes: the Feynman propagator
We develop a theory of Feynman propagators for the massive Klein--Gordon equation with asymptotically static perturbations. Building on our previous work on the causal propagators, we employ a framework based on propagation of singularities estimates in Vasy's 3sc-calculus. We combine these estimates to prove global spacetime mapping properties for the Feynman propagator, and to show that it satisfies a microlocal Hadamard condition. We show that the Feynman propagator can be realized as the …

This https://arxiv.org/abs/2201.09176 has been replaced.
link: https://scholar.google.com/scholar?q=a

Quivers for coloured planar $ϕ^n$ theories at all loop orders for scattering processes from Feynman diagrams
We introduce Feynman-like rules to compute quivers for two loops and higher for the coloured planar $ϕ^3$ theory for winding number zero. We demonstrate this for a few cases. Then we extend this further to the case of $ϕ^n$ theories, for any n. We also construct the quivers for mixed theories. We do this at all loop order.

Quantum light and radiation in Rindler spacetime: from uncertainty relations to the cosmological implications
Fujin Wang, Syed Masood, L. G. Wang
https://arxiv.org/abs/2506.02417 …

Quantum light and radiation in Rindler spacetime: from uncertainty relations to the cosmological implications
Based on an analogy between diffraction integral formalism of classical field propagation and Feynman path integral approach to quantum field theory, we develop a quantum model for light and radiation in Rindler spacetime. The framework helps to reveal acceleration-induced contributions to the traditional Heisenberg position-momentum uncertainty relation. A modified Planck energy density distribution of radiation is established and reveals equivalence between temperature and Rindler acceleratio…

GPU Implementation of Zippel Method for Feynman Integral Reconstruction
Alexander V. Smirnov, Boris I. Rozhnov, Vadim V. Voevodin
https://arxiv.org/abs/2505.24256

GPU Implementation of Zippel Method for Feynman Integral Reconstruction
The Zippel algorithm performs a rational reconstruction of multivariate polynomials and aims specifically at the sparse case. It is applied in different fields of science, lately becoming an important step in Feynman integral reduction in elementary particle physics. In some cases with multiple variables it might become a bottleneck for the whole evaluation so that different optimizations are required. In this paper we describe how we ported the classical Zippel algorithm together with its bala…

This https://arxiv.org/abs/2306.16409 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Alchemical diastereomers from antisymmetric alchemical perturbations
The leading order Hellmann-Feynman term in the energy difference between any two iso-electronic systems is exact up to third order for the averaged reference Hamiltonian because even-order contributions cancel out. This finding holds for {any} iso-electronic compound pair (dubbed `alchemical diastereomers'), regardless of differences in configuration, composition, or energy. As a result, first order relative energy estimates for all possible iso-electronic alchemical diastereomer pairs, derived…

Learn Like Feynman: Developing and Testing an AI-Driven Feynman Bot
Akshaya Rajesh, Sumbul Khan
https://arxiv.org/abs/2506.09055 https://

Learn Like Feynman: Developing and Testing an AI-Driven Feynman Bot
The Feynman learning technique is an active learning strategy that helps learners simplify complex information through student-led teaching and discussion. In this paper, we present the development and usability testing of the Feynman Bot, which uses the Feynman technique to assist self-regulated learners who lack peer or instructor support. The Bot embodies the Feynman learning technique by encouraging learners to discuss their lecture material in a question-answer-driven discussion format. Th…

Positive Integrands from Feynman Integrals in the Minkowski Regime
Stephen Jones, Anton Olsson, Thomas Stone
https://arxiv.org/abs/2506.24073 https://

Positive Integrands from Feynman Integrals in the Minkowski Regime
We present a method for rewriting dimensionally regulated Feynman parameter integrals in the Minkowski regime as a sum of real, positive integrands multiplied by complex prefactors. This representation eliminates the need for contour deformation, allowing for direct numerical or analytic evaluation of the integrals. We develop an algorithm to construct such representations for a broad class of integrals and demonstrate its generalisation through selected examples. Our approach is applied to int…

Quantum-Inspired Differentiable Integral Neural Networks (QIDINNs): A Feynman-Based Architecture for Continuous Learning Over Streaming Data
Oscar Boullosa Dapena
https://arxiv.org/abs/2506.12111

Quantum-Inspired Differentiable Integral Neural Networks (QIDINNs): A Feynman-Based Architecture for Continuous Learning Over Streaming Data
Real-time continuous learning over streaming data remains a central challenge in deep learning and AI systems. Traditional gradient-based models such as backpropagation through time (BPTT) face computational and stability limitations when dealing with temporally unbounded data. In this paper, we introduce a novel architecture, Quantum-Inspired Differentiable Integral Neural Networks (QIDINNs), which leverages the Feynman technique of differentiation under the integral sign to formulate neural u…

Nucleon-Quark Diquark-exchange Interaction
Th. A. Rijken
https://arxiv.org/abs/2506.22079 https://arxiv.org/pdf/2506.22079

Nucleon-Quark Diquark-exchange Interaction
In this note the nucleon-quark diquark-exchange interaction is derived using the Feynman-propagator for axial-vector diquark (D) exchange. The Feynman diquark propagator is derived and the result is a (-)-sign difference w.r.t. quark-antiquark exchange. This is due to the (-)-sign for a closed fermion loop, present in for example vector and axial-vector quark-antiquark exchange, but absent in the case of D-exchange. The calculations in these notes follow closely those for vacuum polarisation in…

"Auch das ist nämlich #Freiheit, auch das ist #Demokratie: Immer klüger werden zu dürfen, statt dumm gehalten zu werden. Dazu sagte Richard #Feynman übrigens auch einen tollen Satz: 'Wenn du d…

Replaced article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/3]:
- Integrable Feynman Graphs and Yangian Symmetry on the Loom
Vladimir Kazakov, Fedor Levkovich-Maslyuk, Victor Mishnyakov

Pion properties in isospin-asymmetric nuclear matter using in-medium chiral perturbation theory
Kihong Kwon, Yamato Suda, Stephan H\"ubsch, Daisuke Jido
https://arxiv.org/abs/2507.01398

Pion properties in isospin-asymmetric nuclear matter using in-medium chiral perturbation theory
We compute the density dependence of in-medium pion properties, such as mass, wave function renormalization, and decay constant in the correlation function approach, and how they change under the influence of isospin-asymmetric nuclear matter. To this end, we use in-medium chiral perturbation theory to compute the relevant Feynman diagrams up to two-loop diagrams. Our results show that the isospin asymmetry of the nuclear matter splits these quantities into three separate values, corresponding …

This https://arxiv.org/abs/2306.16409 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Alchemical diastereomers from antisymmetric alchemical perturbations
The leading order Hellmann-Feynman term in the energy difference between any two iso-electronic systems is exact up to third order for the averaged reference Hamiltonian because even-order contributions cancel out. This finding holds for {any} iso-electronic compound pair (dubbed `alchemical diastereomers'), regardless of differences in configuration, composition, or energy. As a result, first order relative energy estimates for all possible iso-electronic alchemical diastereomer pairs, derived…

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity
Roger Morales
https://arxiv.org/abs/2506.11911 https://

Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity
This thesis focuses on the fields of scattering amplitudes and Feynman integrals, with an emphasis on the geometries and special functions that they involve, and is devoted to two distinct research directions. In the first half of the thesis, we explore elliptic Feynman integrals in maximally supersymmetric Yang-Mills (N = 4 SYM) theory. In particular, we study elliptic generalizations of ladder diagrams, identifying the first two families of Feynman integrals involving the same elliptic curve …

Ab initio functional-independent calculations of the clamped Pockels tensor of tetragonal barium titanate
Virginie de Mestral, Lorenzo Bastonero, Michele Kotiuga, Marko Mladenovic, Nicola Marzari, Mathieu Luisier
https://arxiv.org/abs/2506.13209

Ab initio functional-independent calculations of the clamped Pockels tensor of tetragonal barium titanate
We present an ab initio method to calculate the clamped Pockels tensor of ferroelectric materials from density-functional theory, the modern theory of polarization exploiting the electric-enthalpy functional, and automated first- and second-order finite-difference derivatives of the polarizations and the Hellmann-Feynman forces. Thanks to the functional-independent capabilities of our approach, we can determine the Pockels tensor of tetragonal barium titanate (BTO) beyond the local density appr…

TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories
Pierre J. Clavier
https://arxiv.org/abs/2506.09493 https://

TRAPs, Generalisations of MZVs, Locality and Resurgence for Quantum Field Theories
This thesis presents some mathematical results related to quantum field theory. The first chapter is dedicated to TRAPs and how they could be used to rigorously define Feynman rules. The second introduces generalisations of MZVs and study their properties. The third gives the main results of the theory of locality structures. The fourth and last chapter presents a summability result within the framework of resurgence theory. Each chapter ends with open questions and conjectures on the domain.

Telegrapher's Generative Model via Kac Flows
Richard Duong, Jannis Chemseddine, Peter Friz, Gabriele Steidl
https://arxiv.org/abs/2506.20641 https://…

Telegrapher's Generative Model via Kac Flows
We break the mold in flow-based generative modeling by proposing a new model based on the damped wave equation, also known as telegrapher's equation. Similar to the diffusion equation and Brownian motion, there is a Feynman-Kac type relation between the telegrapher's equation and the stochastic Kac process in 1D. The Kac flow evolves stepwise linearly in time, so that the probability flow is Lipschitz continuous in the Wasserstein distance and, in contrast to diffusion flows, the norm of the ve…

This https://arxiv.org/abs/2309.08175 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qfi…

Closed-form solutions for VIX derivatives in a Legendre empirical model
In this paper, we introduce a data-driven, single-parameter Markov diffusion model for the VIX. The volatility factor evolves in $(-1,1)$ with a uniform invariant distribution ensured by Legendre polynomials, mapped to the empirical distribution. We derive analytical series solutions for VIX futures and options using separation of variables to solve the Feynman-Kac PDE. Compared to the 3/2 model, our approach offers equal or superior accuracy and flexibility, providing an efficient, robust alte…

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
Vsevolod Chestnov, Wojciech Flieger, Pierpaolo Mastrolia, Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama, William J. Torres Bobadilla
https://arxiv.org/abs/2506.10456

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
We present a novel algorithm for constructing differential operators with respect to external variables that annihilate Feynman-like integrals and give rise to the associated $\mathcal{D}$-modules, based on Griffiths-Dwork reduction. By leveraging the Macaulay matrix method, we derive corresponding relations among partial differential operators, including systems of Pfaffian equations and Picard-Fuchs operators. Our computational approach is applicable to twisted period integrals in projective …

Feynman Fox integrals in the physical region
Giampiero Passarino (Turin U.,INFN, Turin)
https://arxiv.org/abs/2506.09590 https://arxi…

Feynman Fox integrals in the physical region
Feynman integrals in the physical region are transformed into Fox functions with a special emphasys to their cut structure

The geometric bookkeeping guide to Feynman integral reduction and $\varepsilon$-factorised differential equations
Iris Bree, Federico Gasparotto, Antonela Matija\v{s}i\'c, Pouria Mazloumi, Dmytro Melnichenko, Sebastian P\"ogel, Toni Teschke, Xing Wang, Stefan Weinzierl, Konglong Wu, Xiaofeng Xu
https://arxiv.org/abs/250…

The geometric bookkeeping guide to Feynman integral reduction and $\varepsilon$-factorised differential equations
We report on three improvements in the context of Feynman integral reduction and $\varepsilon$-factorised differential equations: Firstly, we show that with a specific choice of prefactors, we trivialise the $\varepsilon$-dependence of the integration-by-parts identities. Secondly, we observe that with a specific choice of order relation in the Laporta algorithm, we directly obtain a basis of master integrals, whose differential equation on the maximal cut is in Laurent polynomial form with res…

IBIS: Inverse BInomial sum Solver
Paul A. J. W. van Hoegaerden, Coenraad B. Marinissen, Wouter J. Waalewijn
https://arxiv.org/abs/2506.19904 https://

IBIS: Inverse BInomial sum Solver
In higher-loop calculations, Mellin-Barnes representations are used to simplify the denominators encountered in Feynman parameter integrals. The contour integral of these representations yield sums over residues. We extend the classes of such sums that can be calculated, to include those involving inverse binomials. Our results are expressed in terms of so-called $S$-sums, where the dependence on the upper limit of the sum is analytic. This is accomplished by deriving several new recursion rela…

Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories
Gustav Mogull, Jan Plefka, Kathrin Stoldt
https://arxiv.org/abs/2506.20643 https…

Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories
Using the worldline quantum field theory approach we derive solutions to the equations of motion for spinning massive bodies up to quadratic order in spins. At leading post-Minkowskian (PM) order these trajectories are obtained in the time domain, and at sub-leading order in the frequency domain. Our approach incorporates diagrammatic techniques and modern Feynman integration technologies, and includes a new family of loop integrals different to those seen in asymptotic PM calculations. Our res…

Multi-partonic interactions, iterated discontinuities and the virtuality expansion in deep inelastic scattering
Zeno Capatti, Lucien Huber, Michael Ruf
https://arxiv.org/abs/2506.16489

Multi-partonic interactions, iterated discontinuities and the virtuality expansion in deep inelastic scattering
We introduce a perturbative model that accounts for the contribution of multi-partonic interactions to collider observables. A key feature of this multi-parton model is that cross sections are organised in terms of building blocks that are separately infrared-finite in virtue of the KLN theorem. We find compact expressions for these building blocks in terms of double discontinuities of Feynman-type integrals obtained by endowing a vacuum graph with additional topological information. The framew…

Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor
Tanmoy Pati, Narayan Rana
https://arxiv.org/abs/2506.15363

Three loop master integrals for ${\mathcal{O}} (αα_s^2)$ corrections to quark form factor
We consider the three-loop mixed strong-electroweak (${\mathcal{O}}(αα_s^2)$) corrections to the quark form factor. We compute the master integrals which are appearing in the Feynman diagrams containing a single massive boson in the loop. We use the state-of-the-art method of differential equations to compute all 303 of them, expressing the results in terms of generalized polylogarithms. We encounter multiple square roots that cannot be simultaneously rationalized using a single transformatio…

Numerical computation of Fox functions
Giampiero Passarino (Turin U.,INFN, Turin)
https://arxiv.org/abs/2506.09597 https://arxiv.org/…

Numerical computation of Fox functions
In this work we discuss techniques for the numerical computation of Fox functions that represent Feynman integrals. Illustrative examples based on Sinc numerical methods and Quasi-Monte Carlo methods are given

Replaced article(s) found for hep-ph. https://arxiv.org/list/hep-ph/new/
[1/1]:
Symbol letters of Feynman integrals from Gram determinants
https://…

Towards numerical two-loop integrand reduction
Giuseppe Bevilacqua, Dhimiter Canko, Costas Papadopoulos, Aris Spourdalakis
https://arxiv.org/abs/2506.07231

Towards numerical two-loop integrand reduction
We present a method for the integrand-level reduction of two-loop helicity amplitudes in both $d=4-2ε$ and $d=4$ dimensions. The amplitude is expressed in terms of a set of Feynman integrals and their coefficients that depend on the external kinematics. The analysis presented in this paper, in conjunction with the ongoing development of the computational framework $\text{HELAC-2LOOP}$, paves the road for the construction of an automated program for two-loop amplitude calculations for arbitrary…