Results 11 to 20 of about 263,636 (237)

Two-loop Sunset Integrals at Finite Volume [PDF]

JHEP 1401 (2014) 019, 2013
We show how to compute the two-loop sunset integrals at finite volume, for non-degenerate masses and non-zero momentum. We present results for all integrals that appear in the Chiral Perturbation Therory ($\chi$PT) calculation of the pseudoscalar meson masses and decay constants at NNLO, including the case of Partially Quenched $\chi$PT.
Bijnens, Johan, Boström, Emil, Lähde, Timo A.   +2 more
arxiv   +5 more sources

On evaluation of two-loop self-energy diagram with three propogator [PDF]

Phys.Rev. D50 (1994) 7735-7737, 1994
Small momentum expansion of the "sunset" diagram with three different masses is obtained. Coefficients at powers of $p^2$ are evaluated explicitly in terms of dilogarithms and elementary functions. Also some power expansions of "sunset" diagram in terms of different sets of variables are given.
A. Erdelyi, A.I. Davydychev, A.I. Davydychev, A.I. Davydychev, D.J. Broadhurst, D.J. Broadhurst, E. Mendels, F. A. Lunev, F.A. Berends, F.A. Lunev   +9 more
arxiv   +3 more sources

Threshold and pseudothreshold values of the sunset diagram [PDF]

Phys.Lett. B426 (1998) 95-104, 1997
Analytic results for the threshold and pseudothreshold values of the sunset diagram with arbitrary masses are obtained in terms of dilogarithms of ratios of the masses.
Berends, F. A., Davydychev, A. I., Ussyukina, N. I.   +2 more
arxiv   +3 more sources

The elliptic dilogarithm for the sunset graph [PDF]

Journal of Number Theory, Volume 148, March 2015, Pages 328-364, 2013
We study the sunset graph defined as the scalar two-point self-energy at two-loop order. We evaluate the sunset integral for all identical internal masses in two dimensions. We give two calculations for the sunset amplitude; one based on an interpretation of the amplitude as an inhomogeneous solution of a classical Picard-Fuchs differential equation ...
Bloch, Spencer, Vanhove, Pierre
arxiv   +4 more sources

The last sunset on mainland Europe [PDF]

Cartography and Geographic Information Science (2016), 2014
This paper documents the places in mainland Europe at which the sun sets latest, by Coordinated Universal Time (UTC), on any given day (distortion due to differences in local standard times is ignored). In contradiction to the na\"ive assumption that the sun always sets latest at the westernmost point, the point of last sunset changes cyclically over ...
Mira, Jorge
arxiv   +6 more sources

On the thermal sunset diagram for scalar field theories [PDF]

Phys.Rev.D68:076002,2003, 2003
We study the so-called `` sunset diagram'', which is one of two-loop self-energy diagrams, for scalar field theories at finite temperature. For this purpose, we first find the complete expression of the bubble diagram, the one-loop subdiagram of the sunset diagram, for arbitrary momentum.
A.J. Niemi, A.J. Niemi, D.A. Kirzhnits, E. Braaten, E. Wang, G.-Z. Zhou, G.W. Semenoff, G.W. Semenoff, H. van Hees, H.A. Weldon, J. Gasser, J. Schwinger, J.O. Andersen, J.O. Andersen, J.P. Blaizot, L. Dolan, L.V. Keldysh, Osamu Morimatsu, P. Post, R.A. Craig, S. Chiku, S. Chiku, S. Groote, S. Groote, S. Groote, S. Jeon, S. Weinberg, Tetsuo Nishikawa, Y. Fujimoto, Y. Takahashi, Yoshimasa Hidaka   +30 more
arxiv   +3 more sources

Two-loop sunset diagrams with three massive lines [PDF]

Nucl.Phys. B738 (2006) 306-316, 2005
In this paper, we consider the two-loop sunset diagram with two different masses, m and M, at spacelike virtuality q^2 = -m^2. We find explicit representations for the master integrals and an analytic result through O(epsilon) in d=4-2epsilon space-time dimensions for the case of equal masses, m = M.
A.I. Onishchenko, A.V. Kotikov, B.A. Kniehl, Bashir, Bauberger, Berends, Berends, Bern, Bern, Broadhurst, Broadhurst, Czarnecki, Czarnecki, Davydychev, Davydychev, Davydychev, Davydychev, Fleischer, Fleischer, Fleischer, Fleischer, Fleischer, Gehrmann, Groote, Groote, Groote, Jegerlehner, Jegerlehner, Jegerlehner, Kalmykov, Kniehl, Kotikov, Kotikov, Kotikov, Kotikov, Kotikov, Kotikov, Kotikov, Laporta, Mastrolia, Moch, O.L. Veretin, Onishchenko, Post, Remiddi, Tarasov   +45 more
arxiv   +5 more sources

Special case of sunset: reduction and epsilon-expansion [PDF]

Phys.Atom.Nucl. 68 (2005) 1405-1413; Yad.Fiz. 68 (2005) 1461-1469, 2002
We consider two loop sunset diagrams with two mass scales m and M at the threshold and pseudotreshold that cannot be treated by earlier published formula. The complete reduction to master integrals is given. The master integrals are evaluated as series in ratio m/M and in epsilon with the help of differential equation method.
A. Czarnecki, A. I. Davydychev, A. I. Onishchenko, A. V. Kotikov, D. J. Broadhurst, F. A. Berends, F. A. Berends, F. Jegerlehner, F. V. Tkachov, H. Czyz, J. Franzkowski, L. V. Avdeev, M. Argeri, M. Beneke, M. Caffo, O. L. Veretin, O. V. Tarasov, V. A. Smirnov, V. A. Smirnov, V. A. Smirnov   +19 more
arxiv   +3 more sources

Microgravity Crystal Formation

Crystals, 2023
The benefits of crystallization in a microgravity environment have been documented. Herein, we update the community on the results of a retrospective meta-analysis and data curation of 507 unique crystallization experiments that have been disseminated in
Keegan Jackson, Frances Brewer, Ashley Wilkinson, Amari Williams, Ben Whiteside, Hannah Wright, Lynn Harper, Anne M. Wilson   +7 more
doaj   +1 more source

The High-Temperature Expansion of the Thermal Sunset [PDF]

SciPost Phys. Core 3, 008 (2020), 2020
We give a prescription for calculating the high-temperature expansion of the thermal sunset integral to arbitrary order. We derive all terms odd in $T$, and rederive previous results up to $\mathcal{O}(T^0) $ for both bosonic and fermionic thermal sunsets in dimensional regularisation. We perform analytical and numerical cross-checks.
arxiv   +1 more source