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DCM= regularized integration + series extrapolation

ACAT2017 Track-3 Round Table 24 Aug. K.Kato. DCM= regularized integration + series extrapolation. Toward higher order corrections in HEP…. Calculate the integral with finite ’s. …. Estimate the integral by extrapolation.

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DCM= regularized integration + series extrapolation

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  1. ACAT2017 Track-3 Round Table 24 Aug. K.Kato DCM= regularized integration + series extrapolation Toward higher order corrections in HEP… Calculate the integral with finite ’s ….. Estimate the integral by extrapolation Assume the integral is analytic in  Laurent series Talk22 Aug. K.Kato 24 Aug. H.Daisaka Also 22 Aug. E.de Doncker

  2. Muon g-2 , 2-loop full EW corrections By N. Nakazawa, T. Ishikawa, Y.Yasui Started: N. Nakazawa , T.Kaneko 1995 Pisa AIHENP  ACAT series Resumed the work a few years ago and they almost finished the calculation

  3. GRACE(w NLG) 1780 two-loop, 70 1-loop C.T. Diagnostics UV cancellation IR cancellation NLG invariance (some) Alternate method In the course of calculation, they also found that the numerical extrapolation is better than the analytical handling of terms to avoid complicated lengthy formula and also human error assuming the integral can be computed with high accuracy.

  4. extrapolation  Integration  Wynn’s algorithm Input Linear solver Larger n is NOT always good, but an appropriate n seems to exist.

  5. NLG(non-linear gauge fixing)

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