Relevant bibliographies by topics / Mellin-Barnes technique

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  3. Conference papers

Academic literature on the topic 'Mellin-Barnes technique'

Author: Grafiati
Published: 6 September 2023
Last updated: 30 July 2025

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Journal articles on the topic "Mellin-Barnes technique"

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Matsumoto, Kohji. "Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series." Nagoya Mathematical Journal 172 (2003): 59–102. http://dx.doi.org/10.1017/s0027763000008643.

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AbstractThe present paper contains three main results. The first is asymptotic expansions of Barnes double zeta-functions, and as a corollary, asymptotic expansions of holomorphic Eisenstein series follow. The second is asymptotic expansions of Shintani double zeta-functions, and the third is the analytic continuation of n-variable multiple zeta-functions (or generalized Euler-Zagier sums). The basic technique of proving those results is the method of using the Mellin-Barnes type of integrals.
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Melo, Daniel, Edilson Reyes, and Raffaele Fazio. "Hadronic Light-by-Light Corrections to the Muon Anomalous Magnetic Moment." Particles 7, no. 2 (2024): 327–81. http://dx.doi.org/10.3390/particles7020020.

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We review the hadronic light-by-light (HLbL) contribution to the muon anomalous magnetic moment. Upcoming measurements will reduce the experimental uncertainty of this observable by a factor of four; therefore, the theoretical precision must improve accordingly to fully harness such an experimental breakthrough. With regards to the HLbL contribution, this implies a study of the high-energy intermediate states that are neglected in dispersive estimates. We focus on the maximally symmetric high-energy regime and in-quark loop approximation of perturbation theory, following the method of the OPE
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Banik, Sumit, and Samuel Friot. "Multiple Mellin-Barnes integrals and triangulations of point configurations." Physical Review D 110, no. 3 (2024). http://dx.doi.org/10.1103/physrevd.110.036002.

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Mellin-Barnes (MB) integrals are a well-known type of integrals appearing in diverse areas of mathematics and physics, such as in the theory of hypergeometric functions, asymptotics, quantum field theory, solid-state physics, etc. Although MB integrals have been studied for more than a century, it is only recently that, due to a remarkable connection found with conic hulls, N-fold MB integrals can be computed analytically for N>2 in a systematic way. In this article, we present an alternative novel technique by unveiling a new connection between triangulations of point configurations and MB
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Smirnov, Vladimir A., and Fabian Wunder. "Expansion by regions meets angular integrals." Journal of High Energy Physics 2024, no. 8 (2024). http://dx.doi.org/10.1007/jhep08(2024)138.

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Abstract We study the small-mass asymptotic behavior of so-called angular integrals, appearing in phase-space calculations in perturbative quantum field theory. For this purpose we utilize the strategy of expansion by regions, which is a universal method both for multiloop Feynman integrals and various parametric integrals. To apply the technique to angular integrals, we convert them into suitable parametric integral representations, which are accessible to existing automation tools. We use the code asy.m to reveal regions contributing to the asymptotic expansion of angular integrals. To evalu
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Barvinsky, A. O., A. V. Kurov, and W. Wachowski. "Commutator technique for the heat kernel of minimal higher derivative operators." Physical Review D 110, no. 8 (2024). http://dx.doi.org/10.1103/physrevd.110.085023.

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We suggest a new technique of the asymptotic heat kernel expansion for minimal higher derivative operators of a generic 2Mth order, F(∇)=(−□)M+⋯, in the background field formalism of gauge theories and quantum gravity. This technique represents the conversion of the recently suggested Fourier integral method of generalized exponential functions [A. O. Barvinsky and W. Wachowski, Heat kernel expansion for higher order minimal and nonminimal operators, ] into the commutator algebra of special differential operators, which allows one to express expansion coefficients for F(∇) in terms of the Schw
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Belitsky, A. V., and G. P. Korchemsky. "Circular Wilson loop in $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)089.

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Abstract We present a two-loop calculation of the supersymmetric circular Wilson loop in the $$ \mathcal{N} $$ N = 2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for computing contributing Feynman graphs that relies on using the embedding coordinates combined with the Mellin-Barnes techniques for propagator-like integrals on the sphere. Our results exactly match predictions of supersymmetric localization providing a nontrivial consistency check for the latter in non-conformal settings.
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Sleight, Charlotte, and Massimo Taronna. "From dS to AdS and back." Journal of High Energy Physics 2021, no. 12 (2021). http://dx.doi.org/10.1007/jhep12(2021)074.

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Abstract We describe in more detail the general relation uncovered in our previous work between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space, at any order in perturbation theory. Assuming the Bunch-Davies vacuum at early times, any given diagram contributing to a boundary correlator in dS can be expressed as a linear combination of Witten diagrams for the corresponding process in EAdS, where the relative coefficients are fixed by consistent on-shell factorisation in dS. These coefficients are given by certain sinusoidal factors which account for the chang
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Dissertations / Theses on the topic "Mellin-Barnes technique"

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Ghosh, Shayan. "Analytical Mellin-Barnes techniques with applications to two-loop SU(3) chiral perturbation theory and QED at higher loops." Thesis, 2018. https://etd.iisc.ac.in/handle/2005/5432.

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The present era is one of precision in particle physics. To account for the lacunae in the otherwise successful Standard Model, observables are calculated to high precision in various theoretical models, which are then tested against experimental data to determine whether a given model is realised in nature. In perturbative quantum eld theoretical models, higher order calculations require the evaluation of multi-loop diagrams with multiple mass scales. Although an advanced technology has been developed to evaluate these loop integrals, the majority of techniques are still numerical in n
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Conference papers on the topic "Mellin-Barnes technique"

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Smirnov, Vladimir, Alexander Smirnov, and Matthias Steinhauser. "Applying Mellin-Barnes technique and Groebner bases to the three-loop static potential." In 8th International Symposium on Radiative Corrections. Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.048.0024.

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Pagnini, Gianni, and YangQuan Chen. "Mellin Convolution for Signal Filtering and Its Application to the Gaussianization of Le´vy Noise." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47392.

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Noises are usually assumed to be Gaussian so that many existing signal processing techniques can be applied with no worry. However, in many real world natural or man-made systems, noises are usually heavy-tailed. It is increasingly desirable to address the problem of finding an opportune filter function for a given input noise in order to generate a desired output noise. By filtering theory, the probability density function of the output noise can be expressed by the integral of the product of the density of the input noise and the filter function. Adopting Mellin transformation rules, the Mel
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Riemann, Tord. "AMBRE - a Mathematica package for the automatic derivation of Mellin-Barnes Representations for Feynman Integrals." In XI International Workshop on Advanced Computing and Analysis Techniques in Physics Research. Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.050.0081.

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Bierenbaum, Isabella. "The use of Mellin-Barnes Integrals for the Calculation of Two-loop massive Operator Matrix Elements." In XI International Workshop on Advanced Computing and Analysis Techniques in Physics Research. Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.050.0070.

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