Results 11 to 20 of about 191,765 (393)

A numerical test of differential equations for one- and two-loop sunrise diagrams using configuration space techniques [PDF]

Eur. Phys. J. C72 (2012) 2085, 2012
We use configuration space methods to write down one-dimensional integral representations for one- and two-loop sunrise diagrams (also called Bessel moments) which we use to numerically check on the correctness of the second order differential equations for one- and two-loop sunrise diagrams that have recently been discussed in the literature.
A. A. Pivovarov, A.I. Davydychev, A.V. Kotikov, E. Mendels, E. Remiddi, J. G. Körner, M. Caffo, R. Delbourgo, S. Groote, S. Groote, S. Groote, S. Groote, S. Groote, S. Groote, S. Groote, S. Laporta, S. Müller-Stach   +16 more
arxiv   +3 more sources

Dispersive calculation of the massless multi-loop sunrise diagram [PDF]

Lett.Math.Phys.77:209-218,2006, 2006
The massless sunrise diagram with an arbitrary number of loops is calculated in a simple but formal manner. The result is then verified by rigorous mathematical treatment. Pitfalls in the calculation with distributions are highlighted and explained.
A. Aste, A. Aste, A. Aste, A.I. Davydychev, Andreas Aste, F. Constantinescu, F.A. Berends, F.V. Tkachov, G. Källén, G. Passarino, G. Scharf, G. ’t Hooft, H. Epstein, J. Fleischer, J. Schwinger, K.G. Chetyrkin, M. Caffo, M. Dütsch, P. Post, R.F. Streater, S. Bauberger, S. Groote, S. Laporta, S. Laporta, T.-P. Cheng, W. Pauli   +25 more
arxiv   +5 more sources

A formula for the number of days between the winter solstice and the latest sunrise [PDF]

Am.J.Phys.71:1242-1246,2003, 2002
A simple closed-form expression for the number of days between the winter solstice and the latest sunrise is derived. Formulas for the summer solstice and the sunset are derived as well. These approximate formulas make it easy to see the functional dependence on the latitude of the observer.
di Cicco D., Matthias Reinsch
arxiv   +4 more sources

On the evaluation of a certain class of Feynman diagrams in x-space: Sunrise-type topologies at any loop order [PDF]

AnnalsPhys.322:2374-2445,2007, 2005
We review recently developed new powerful techniques to compute a class of Feynman diagrams at any loop order, known as sunrise-type diagrams. These sunrise-type topologies have many important applications in many different fields of physics and we believe it to be timely to discuss their evaluation from a unified point of view.
A.A. Pivovarov, Anikin, Appelquist, Avdeev, Avdeev, Bagan, Baikov, Balitsky, Balk, Bartels, Bashir, Bauberger, Berends, Bogoliubov, Braun, Broadhurst, Broadhurst, Broadhurst, Broadhurst, Broadhurst, Caffo, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Chetyrkin, Coleman, Cutkosky, Cvetič, Davydychev, Delbourgo, Dudas, Fleischer, Gasser, Gasser, Generalis, Gilkey, Gorbunov, Gradshteyn, Groote, Groote, Groote, Groote, Groote, Groote, Groote, Groote, Groote, Groote, Gross, Gusynin, Hepp, Hoang, Hussain, Ioffe, Isgur, Itzykson, J.G. Körner, Jackiw, Jackiw, Kalinowski, Kataev, Kazakov, Krasnikov, Krasnikov, Krasnikov, Krasnikov, Krasulin, Kreimer, Kulagin, Körner, Körner, Körner, Kühn, Kühn, Laporta, Larin, Lipatov, Lipatov, Lowenstein, Mansfield, Mastrolia, Meijer, Mendels, Mikhailov, Narison, Ogreid, Ovchinnikov, Ovchinnikov, Penin, Penin, Pich, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Pivovarov, Platter, Polyakov, Post, Post, Prudnikov, Rajantie, S. Groote, Schwinger, Slavnov, Smirnov, Steinhauser, Terrano, Tkachov, Tkachov, Weinberg, Wetzorke, Witten, ’t Hooft, ’t Hooft, ’t Hooft, ’t Hooft   +128 more
arxiv   +3 more sources

The Pseudothreshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes [PDF]

Nucl.Phys. B581 (2000) 274-294, 1999
The values at pseudothreshold of two loop sunrise master amplitudes with arbitrary masses are obtained by solving a system of differential equations. The expansion at pseudothreshold of the amplitudes is constructed and some lowest terms are explicitly presented.
Beneke, Berends, Berends, Caffo, Chetyrkin, Davydychev, E. Remiddi, H. Czyż, Ince, Itzykson, M. Caffo, Smirnov, Tarasov, Tkachov   +13 more
arxiv   +3 more sources

The sunrise integral and elliptic polylogarithms [PDF]

arXiv, 2016
We summarize recent computations with a class of elliptic generalizations of polylogarithms, arising from the massive sunrise integral. For the case of arbitrary masses we obtain results in two and four space-time dimensions. The iterated integral structure of our functions allows us to furthermore compute the equal mass case to arbitrary order.
Adams, Luise, Bogner, Christian, Weinzierl, Stefan   +2 more
arxiv   +3 more sources

KUKA Sunrise Toolbox: Interfacing Collaborative Robots with MATLAB [PDF]

arXiv, 2017
Collaborative robots are increasingly present in our lives. The KUKA LBR iiwa equipped with the KUKA Sunrise.OS controller is a good example of a collaborative/sensitive robot. This paper presents a MATLAB Toolbox, the KUKA Sunrise Toolbox (KST), to interface KUKA Sunrise.OS using MATLAB.
Mohammad Safeea, P. Neto
arxiv   +3 more sources

JWST/NIRCam Probes Young Star Clusters in the Reionization Era Sunrise Arc [PDF]

Astrophysical Journal, 2022
Star cluster formation in the early universe and its contribution to reionization remains largely unconstrained to date. Here we present JWST/NIRCam imaging of the most highly magnified galaxy known at z ∼ 6, the Sunrise arc.
E. Vanzella, A. Claeyssens, B. Welch, A. Adamo, D. Coe, J. Diego, G. Mahler, G. Khullar, V. Kokorev, M. Oguri, S. Ravindranath, L. Furtak, T. Hsiao, Abdurro’uf, Nir Mandelker, G. Brammer, L. Bradley, M. Bradač, C. Conselice, P. Dayal, M. Nonino, F. Andrade-Santos, R. Windhorst, N. Pirzkal, K. Sharon, S. D. de Mink, S. Fujimoto, A. Zitrin, J. Eldridge, C. Norman   +29 more
semanticscholar   +1 more source

A symbol and coaction for higher-loop sunrise integrals [PDF]

SciPost Physics Core, 2022
We construct a symbol and coaction for the ll-loop sunrise family of integrals, both for equal-mass and generic-mass cases. These constitute the first concrete examples of symbols and coactions for integrals involving Calabi-Yau threefolds and higher. In
Andreas Forum, M. Hippel
semanticscholar   +1 more source

The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case [PDF]

arXiv, 2015
We present the result for the finite part of the two-loop sunrise integral with unequal masses in four space-time dimensions in terms of the ${\mathcal O}(\varepsilon^0)$-part and the ${\mathcal O}(\varepsilon^1)$-part of the sunrise integral around two space-time dimensions.
Luise Adams, C. Bogner, S. Weinzierl
arxiv   +3 more sources