Multiloop Working Group (MLWG)
Winter 2011/12: Loop techniques in own projects
Monday 16:00-17:00 (D6-135) [WS 2011]
meetings
- 17.Oct.2011: Feynman ints, Periods, Hironaka's polyhedra game - YS
- 24.Oct.2011: Iterated sector decomposition - YS
- 31.Oct.2011: -- no seminar --
- 07.Nov.2011: Graph polynomials - TL
- 14.Nov.2011: Automated NMSSM computations - MM
- 21.Nov.2011: 3-loop self-energies at finite T - JM
- 28.Nov.2011: IBP without dots - CS
- 05.Dec.2011: Calculation strategies for sum-integrals - IG
- 12.Dec.2011: -- no seminar --
- 19.Dec.2011: Yang-Mills thermodynamics from Gribov region - NS
- 09.Jan.2012: Yang-Mills thermodynamics from Gribov region (II) - NS
- 16.Jan.2012: Reduze v2: setup - CS
- 23.Jan.2012: Reduze v2: examples - CS
- 30.Jan.2012: massive gauge fields - KL
literature
Summer 2011: Gauge Theory Amplitudes
Monday 16:15-17:00 (D6-135) [SS 2011]
links
- L.J. Dixon, TASI lecture 1995,
Calculating scattering amplitudes efficiently,
arXiv:hep-ph/9601359.
Abstract
PDF
- J.M. Drummond, CERN winter school lecture 2010,
Hidden Simplicity of Gauge Theory Amplitudes,
Class.\ Quant.\ Grav.\ {\bf 27} (2010) 214001
[arXiv:1010.2418 [hep-th]].
Abstract
PDF
- L.J. Dixon,
Scattering amplitudes: the most perfect microscopic structures in the universe,
arXiv:1105.0771 [hep-th].
Abstract
PDF
- KITP Program:
The Harmony of Scattering Amplitudes (Apr 4 - Jul 8, 2011)
talks
meetings
- 09.May.2011: Intro - YS
- 16.May.2011: Color-ordered amplitudes - MS
- 23.May.2011: Spinor products - JS
- 30.May.2011: Tree-level techniques - KL
- 06.Jun.2011: Supersymmetry - MM
- 20.Jun.2011: Loop-level techniques I - JM
- 27.Jun.2011: Loop-level techniques II - JM
- 04.Jul.2011: Zarm tour Bremen
- 11.Jul.2011: ...
Winter 2010/11: Feynman diagrams, reduction, evaluation
Monday 16:15-17:00 (D6-135) [WS 2010]
foundations
- K.~G.~Chetyrkin and F.~V.~Tkachov,
``Integration By Parts: The Algorithm To Calculate Beta Functions In 4
Loops,''
Nucl.\ Phys.\ B {\bf 192} (1981) 159.
Abstract
PDF
- O.~V.~Tarasov,
``Connection between Feynman integrals having different values of the
space-time dimension,''
Phys.\ Rev.\ D {\bf 54} (1996) 6479
[arXiv:hep-th/9606018].
Abstract
PostScript
PDF
- S.~Laporta,
``High precision calculation of multiloop Feynman integrals by
difference equations,''
Int.\ J.\ Mod.\ Phys.\ {\bf A15 } (2000) 5087-5159.
[hep-ph/0102033].
Abstract
PostScript
PDF
tools
- A.~V.~Smirnov,
``Algorithm FIRE -- Feynman Integral REduction,''
JHEP {\bf 0810} (2008) 107
[arXiv:0807.3243 [hep-ph]].
Abstract
PostScript
PDF
- C.~Studerus,
``Reduze - Feynman Integral Reduction in C++,''
Comput.\ Phys.\ Commun.\ {\bf 181} (2010) 1293
[arXiv:0912.2546 [physics.comp-ph]].
Abstract
PostScript
PDF
- A.~V.~Smirnov and M.~N.~Tentyukov,
``Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA),''
Comput.\ Phys.\ Commun.\ {\bf 180} (2009) 735
[arXiv:0807.4129 [hep-ph]].
Abstract
PostScript
PDF
- A.~V.~Smirnov, V.~A.~Smirnov and M.~Tentyukov,
``FIESTA 2: parallelizeable multiloop numerical calculations,''
arXiv:0912.0158 [hep-ph].
Abstract
PostScript
PDF
specific applications
- S.~Laporta,
``High-precision epsilon expansions of massive four-loop vacuum
bubbles,''
Phys.\ Lett.\ B {\bf 549} (2002) 115
[arXiv:hep-ph/0210336].
Abstract
PostScript
PDF
- Y.~Schroder and A.~Vuorinen,
``High-precision epsilon expansions of single-mass-scale four-loop
vacuum bubbles,''
JHEP {\bf 0506} (2005) 051
[arXiv:hep-ph/0503209].
Abstract
PostScript
PDF
Groebner bases + Feynman integrals
Dimensional recurrences
meetings
- 08.Nov.2010: Intro - YS
- 15.Nov.2010: integral reduction: IBP method - JM
(pdf)
- 22.Nov.2010: integral reduction:
Reduze - CS
- 29.Nov.2010: integral reduction:
FIRE and
FIESTA - YS
- 06.Dec.2010: integral reduction: dimensional recurrences - IG
- 13.Dec.2010: integral reduction: Groebner bases - MM
- 20.Dec.2010: integral evaluation: sector decomposition, FIESTA - YS
- 31.Jan.2011: integral evaluation: difference eqs - JM
(pdf)
- 07.Feb.2011: integral evaluation: Mellin Barnes and friends - CS
- 21.Feb.2011: integral evaluation: sector decomposition - YS
- 07.Mar.2011: integral evaluation: differential eqs - MK
(paper: Remiddi 97)
- 14.Mar.2011: integral evaluation: dimensional recurrences - MM