ACAT 2013, Track 3 (Part II) Andrej Arbuzov (JINR Dubna)

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1 ACAT 2013, Track 3 (Part II) Andrej Arbuzov (JINR Dubna) I. Loop integral calculations 1) J. Bluemlein: Harmonic, generalized harmonic, cyclotomic and 2) T. Riemann: 3) S. Badger: 4) N. Watanabe: 5) R. Lee: binomial sums, polylogarithms and special numbers Contractions of 1-loop 5-point tensor Feynman integrals Multi-loop integrand reduction with computational algebraic geometry One loop integration with hypergeometric series by using recursion relation LiteRed: a new powerful tool for the reduction of multiloop integrals

2 ACAT 2013, Track 3 (Part II) Andrej Arbuzov (JINR Dubna) : 6) M. Kompaniets: 7) A. Bednyakov: 8) V. Khandramai: 9) R. Sadykov: 10) V. Zykunov: 11) F. Feng: 12) X.-G. Wu: Theory of phase transitions and critical phenomena: new approach to numerical calculation of anomalous dimensions Three-loop beta-functions and anomalous dimensions in the SM FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory SANC system and its application for LHC Radiative (QCD and Electroweak) Corrections to Drell Yan Process for Experiments at the LHC Automated one-loop computation in quarkonium process within NRQCD framework Generators BCVEGPY and GENXICC for doubly heavy mesons and baryons

3 I. Loop integral calculations 1) J. Bluemlein: Harmonic, Generalized Harmonic, Cyclotomic... Mathematical basis of special functions and numbers appearing in loop integral calculations

4 I. Loop integral calculations 1) J. Bluemlein: Harmonic, Generalized Harmonic, Cyclotomic...

5 I. Loop integral calculations 1) J. Bluemlein: Harmonic, Generalized Harmonic, Cyclotomic... Important:

6 I. Loop integral calculations 2) T. Riemann: Contractions of 1-loop 5-point tensor Feynman integrals

7 I. Loop integral calculations 2) T. Riemann: Contractions of 1-loop 5-point tensor Feynman integrals

8 I. Loop integral calculations 3) S. Badger: Multi-Loop Integrand Reduction with Computational Algebraic Geometry

9 I. Loop integral calculations 3) S. Badger: Multi-Loop Integrand Reduction with Computational Algebraic Geometry

10 I. Loop integral calculations 4) N. Watanabe: One loop integration with hypergeometric series by using recursion relation Geometry Norihisa Watanabe(KEK) Collaborated with T.Kaneko(KEK)

11 I. Loop integral calculations 4) N. Watanabe: One loop integration with hypergeometric series by using recursion relation Geometry

12 I. Loop integral calculations 4) N. Watanabe: One loop integration with hypergeometric series by using recursion relation Geometry

13 I. Loop integral calculations 5) R. Lee: LiteRed: a new powerful tool for the reduction of multiloop integrals

14 I. Loop integral calculations 5) R. Lee: LiteRed: a new powerful tool for the reduction of multiloop integrals

15 I. Loop integral calculations 5) R. Lee: LiteRed: a new powerful tool for the reduction of multiloop integrals

16 6) M. Kompaniets: Theory of phase transitions and critical phenomena: new approach to numerical calculation os anomalous dimensions

17 6) M. Kompaniets: Theory of phase transitions and critical phenomena: new approach to numerical calculation os anomalous dimensions

18 6) M. Kompaniets: Theory of phase transitions and critical phenomena: new approach to numerical calculation os anomalous dimensions

19 7) A. Bednyakov: Three-loop beta-functions and anomalous dimensions in the SM

20 7) A. Bednyakov: Three-loop beta-functions and anomalous dimensions in the SM

21 7) A. Bednyakov: Three-loop beta-functions and anomalous dimensions in the SM

22 8) V. Khandramai: FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory

23 8) V. Khandramai: FAPT: a Mathematica package for calculations in QCD Fractional Analytic Perturbation Theory

24 9) R. Sadykov: SANC system and its application for LHC

25 9) R. Sadykov: SANC system and its application for LHC

26 9) R. Sadykov: SANC system and its application for LHC «Missed» corrections: EW NLO FSR were used by ATLAS

27 10) V. Zykunov: Radiative (QCD and Electroweak) Corrections to Drell Yan Process for Experiments at the LHC NLO EW+QCD

28 10) V. Zykunov: Radiative (QCD and Electroweak) Corrections to Drell Yan Process for Experiments at the LHC.

29 11) Feng Feng: Automated one-loop computation in quarkonium process within NRQCD framework

30 11) Feng Feng: Automated one-loop computation in quarkonium process within NRQCD framework.

31 11) Feng Feng: Automated one-loop computation in quarkonium process within NRQCD framework.

32 12) Xing-Gang Wu: Generators BCVEGPY and GENXICC for doubly heavy mesons and baryons.

33 12) Xing-Gang Wu: Generators BCVEGPY and GENXICC for doubly heavy mesons and baryons.

34 12) Xing-Gang Wu: Generators BCVEGPY and GENXICC for doubly heavy mesons and baryons.

35 12) Xing-Gang Wu: Generators BCVEGPY and GENXICC for doubly heavy mesons and baryons.

36 ACAT 2013, Track 3 Concluding remarks (Part II) Computing issues: Laptops PC Workstations Clusters Supercomputers Parallelization (vectorization) Data storge GPU?

37 ACAT 2013, Track 3 Concluding remarks (Part II) Codes: Stand-alone System of interfaced programs Private Public (licence, attribution, citation questions)

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