Fetching the paper…
Reading the bibliography…
The prediction of the effective electroweak mixing angle $\sin^2\theta_{\rm eff}^{\rm b}$ in the Standard Model at two-loop accuracy has now been completed by the first calculation of the bosonic two-loop corrections to the $Z{\bar b}b$ vertex.
doi:10.1007/BF01773358
K. Hepp, Proof of the Bogolyubov-Parasiuk theorem on renormalization, Commun. Math. Phys. 2 (1966) 301–326, · 1966
Earlier work this paper cites.
doi:10.1007/BF01037795
N. I. Usyukina, On a representation for three point function, Teor. Mat. Fiz. 22 (1975) 300–306, · 1975
Earlier work this paper cites.
doi:10.1016/0550-3213(86)90014-3
A. Akhundov, D. Bardin, T. Riemann, Electroweak one loop corrections to the decay of the neutral vector boson, Nucl. Phys. B276 (1986) 1 · 1986
Earlier work this paper cites.
doi:10.1016/0370-2693(87)91206-8
A. Djouadi, C. Verzegnassi, Virtual very heavy top effects in LEP/SLC precision measurements, Phys. Lett. B195 (1987) 265–271 · 1987
Earlier work this paper cites.
doi:10.1016/0370-2693(88)91625-5
D. Bardin, A. Leike, T. Riemann, M. Sachwitz, Energy dependent width effects in · 1988
Earlier work this paper cites.
doi:10.1007/BF01559728
W. Beenakker, W. Hollik, The width of the · 1988
Earlier work this paper cites.
doi:10.1007/BF02812964
A. Djouadi, · 1988
Earlier work this paper cites.
doi:10.1016/0550-3213(90)90552-O
B. A. Kniehl, Two loop corrections to the vacuum polarizations in perturbative QCD, Nucl. Phys. B347 (1990) 86–104 · 1990
Earlier work this paper cites.
doi:10.1016/0370-2693(91)90653-8
R. Stuart, Gauge invariance, analyticity and physical observables at the · 1991
Earlier work this paper cites.
doi:10.1016/0370-2693(91)91842-J
R. G. Stuart, General renormalization of the gauge invariant perturbation expansion near the · 1991
Earlier work this paper cites.
arXiv:hep-ph/9508390
A. Leike, T. Riemann, J. Rose, S matrix approach to the Z line shape, Phys. Lett. B273 (1991) 513–518 · 1991
Earlier work this paper cites.
arXiv:hep-ph/9506382
T. Riemann, Cross-section asymmetries around the Z peak, Phys. Lett. B293 (1992) 451–456 · 1992
Earlier work this paper cites.
doi:10.1016/0550-3213(92)90232-Z
B. A. Kniehl, A. Sirlin, Dispersion relations for vacuum polarization functions in electroweak physics, Nucl. Phys. B371 (1992) 141–148 · 1992
Earlier work this paper cites.
doi:10.1016/0550-3213(93)90110-B
G. Buchalla, A. Buras, QCD corrections to the · 1993
Earlier work this paper cites.
arXiv:hep-ph/9302288
G. Degrassi, Current algebra approach to heavy top effects in · 1993
Earlier work this paper cites.
doi:10.1007/BF01559523
H. Veltman, Mass and width of unstable gauge bosons, Z. Phys. C62 (1994) 35–52 · 1994
Earlier work this paper cites.
arXiv:hep-ph/9406363
L. Avdeev, J. Fleischer, S. Mikhailov, O. Tarasov, · 1994
Earlier work this paper cites.
arXiv:hep-ph/9409388
S. Bauberger, F. A. Berends, M. Böhm, M. Buza, Analytical and numerical methods for massive two loop selfenergy diagrams, Nucl. Phys. B434 (1995) 383–407 · 1995
Earlier work this paper cites.
arXiv:hep-ph/9501201
S. Bauberger, M. Böhm, Simple one-dimensional integral representations for two loop selfenergies: The master diagram, Nucl. Phys. B445 (1995) 25–48 · 1995
Earlier work this paper cites.
arXiv:hep-ph/9309298
A. Djouadi, P. Gambino, Electroweak gauge bosons selfenergies: Complete QCD corrections, Phys. Rev. D49 (1994) 3499–3511, Erratum: Phys. Rev. D53 (1996) 4111 · 1996
Earlier work this paper cites.
arXiv:hep-ph/9608366
A. Czarnecki, J. H. Kühn, Nonfactorizable QCD and electroweak corrections to the hadronic Z boson decay rate, Phys. Rev. Lett. 77 (1996) 3955–3958 · 1996
Earlier work this paper cites.
arXiv:hep-ph/9712228
R. Harlander, T. Seidensticker, M. Steinhauser, Complete corrections of order · 1998
Earlier work this paper cites.
arXiv:hep-ph/9905323
V. A. Smirnov, Analytical result for dimensionally regularized massless on shell double box, Phys. Lett. B460 (1999) 397–404 · 1999
Cited alongside, same era.
arXiv:hep-ph/9909506
J. Tausk, Nonplanar massless two loop Feynman diagrams with four on-shell legs, Phys. Lett. B469 (1999) 225–234 · 1999
Cited alongside, same era.
arXiv:hep-ph/9808242
J. Fleischer, A. Kotikov, O. Veretin, Analytic two loop results for selfenergy type and vertex type diagrams with one nonzero mass, Nucl. Phys. B547 (1999) 343–374 · 1999
Cited alongside, same era.
arXiv:hep-ph/0004013v.2
T. Binoth, G. Heinrich, An automatized algorithm to compute infrared divergent multi-loop integrals, Nucl. Phys. B585 (2000) 741–759 · 2000
Cited alongside, same era.
arXiv:hep-ph/9908433
D. Bardin, P. Christova, M. Jack, L. Kalinovskaya, A. Olchevski, S. Riemann, T. Riemann, ZFITTER v.6.21: A semianalytical program for fermion pair production in · 2001
Cited alongside, same era.
arXiv:hep-ph/0011373
J. J. van der Bij, K. G. Chetyrkin, M. Faisst, G. Jikia, T. Seidensticker, Three loop leading top mass contributions to the · 2001
U. Aglietti, R. Bonciani, L. Grassi, E. Remiddi, The Two loop crossed ladder vertex diagram with two massive exchanges, Nucl. Phys. B789 (2008) 45–83 · 2007
Later among the works it cites.
M. Awramik, M. Czakon, A. Freitas, B. Kniehl, Two-loop electroweak fermionic corrections to · 2009
Later among the works it cites.
A. Smirnov, V. Smirnov, On the resolution of singularities of multiple Mellin-Barnes integrals, Eur. Phys. J. C62 (2009) 445–449 · 2009
Later among the works it cites.
A. Freitas, Y.-C. Huang, On the numerical evaluation of loop integrals with Mellin-Barnes representations, JHEP 04 (2010) 074 · 2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
arXiv:hep-ph/0304028
U. Aglietti, R. Bonciani, Master integrals with one massive propagator for the two loop electroweak form-factor, Nucl. Phys. B668 (2003) 3–76 · 2003
Cited alongside, same era.
arXiv:hep-ph/0302275
M. Faisst, J. H. Kühn, T. Seidensticker, O. Veretin, Three loop top quark contributions to the · 2003
Cited alongside, same era.
arXiv:hep-ph/0401193
U. Aglietti, R. Bonciani, Master integrals with 2 and 3 massive propagators for the 2 loop electroweak form-factor - planar case, Nucl. Phys. B698 (2004) 277–318 · 2004
Cited alongside, same era.
arXiv:hep-ph/0311148
M. Awramik, M. Czakon, A. Freitas, G. Weiglein, Precise prediction for the W boson mass in the standard model, Phys. Rev. D69 (2004) 053006 · 2004
Cited alongside, same era.
arXiv:hep-ex/0509008
S. Schael, et al., Precision electroweak measurements on the · 2005
Cited alongside, same era.
arXiv:hep-ph/0404043
T. Hahn, CUBA: A library for multidimensional numerical integration, Comput. Phys. Commun. 168 (2005) 78–95 · 2005
Cited alongside, same era.
J. Gluza, K. Kajda, T. Riemann, V. Yundin, Numerical evaluation of tensor Feynman integrals in Euclidean kinematics, Eur. Phys. J. C71 (2011) 1516 · 2011
Later among the works it cites.
A. Freitas, Numerical evaluation of multi-loop integrals using subtraction terms, JHEP 1207 (2012) 132 · 2012
Later among the works it cites.
K. Bielas, I. Dubovyk, J. Gluza, T. Riemann, Some remarks on non-planar Feynman diagrams, Acta Phys. Polon. B44 (2013) 2249–2255 · 2013
Later among the works it cites.
A. Freitas, Two-loop fermionic electroweak corrections to the Z-boson width and production rate, Phys. Lett. B730 (2014) 50–52 · 2014
Later among the works it cites.
A. Freitas, Higher-order electroweak corrections to the partial widths and branching ratios of the Z boson, JHEP 1404 (2014) 070 · 2014
Later among the works it cites.
doi:10.1088/1674-1137/38/9/090001
K. Olive, et al., Review of Particle Physics, Chin. Phys. C38 (2014) 090001 · 2014
Later among the works it cites.
A. V. Smirnov, FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions, Comput. Phys. Commun. 185 (2014) 2090–2100 · 2014
Later among the works it cites.
M. Bicer, et al., First Look at the Physics Case of TLEP, JHEP 01 (2014) 164 · 2014
Later among the works it cites.
M. Baak et al., Gfitter 2.1 (Jan 2015)
2015
Later among the works it cites.
doi:10.5506/APhysPolB.46.2235
T. Riemann, S-matrix Approach to the · 2015
Later among the works it cites.
S. Borowka, G. Heinrich, S. P. Jones, M. Kerner, J. Schlenk, T. Zirke, SecDec 3.0: numerical evaluation of multi-scale integrals beyond one loop, Comput. Phys. Commun. 196 (2015) 470–491 · 2015
Later among the works it cites.
M. Ochman, T. Riemann, MBsums - a Mathematica package for the representation of Mellin-Barnes integrals by multiple sums, Acta Phys. Polon. B46 (2015) 2117 · 2015
Later among the works it cites.
T. Hahn, Concurrent CUBA, J. Phys. Conf. Ser. 608 (2015) 012066 · 2015
Later among the works it cites.
2015
Later among the works it cites.
doi:10.1088/1742-6596/608/1/012070
I. Dubovyk, J. Gluza, T. Riemann, Non-planar Feynman diagrams and Mellin-Barnes representations with · 2016
Closest in time.
I. Dubovyk, J. Gluza, T. Riemann, J. Usovitsch, Numerical integration of massive two-loop Mellin-Barnes integrals in Minkowskian regions, talk at LL2016, 24-28 April 2016, Leipzig, Germany, to appear in the proceedings · 2016
Closest in time.
I. Dubovyk, A. Freitas, J. Gluza, T. Riemann, J. Usovitsch, 30 years, 715 integrals, and 1 dessert, or: Bosonic contributions to the 2-loop Zbb vertex, talk at LL2016, 24-28 April 2016, Leipzig, Germany, to appear in the proceedings
2016
Closest in time.