Pole Masses in Standard Model

Pole masses of gauge bosons within SM

Here we present all results connected with calculation of the two-loop radiative corrections to the pole part of gauge bosons.

The theoretical background, technical details and results are presented in series of publications F.Jegerlehner, M.Yu.Kalmykov, O.Veretin, hep-ph/0105304, hep-ph/0212003, hep-ph/0212319. Nuclear Instruments and Methods in Physics Research A502 (2003) hep-ph/0404213.

Program part

All diagrams are generated by QGRAF and then the C-program DIANA is used to produce FORM input. The diagrams without Higgs and/or top-quark can be calculated analytically by help of package ON-SHELL2 For diagrams with Higgs and/or top-quark we apply the large mass expansion realized as package TLAMM

Results

The UV -renormalized result looks like

(MV)2/(mV)2 = 1 + X1V + X2V

where V=Z,W; mV is the MS mass of the vector boson and X1V, X2V are expressible in terms of MS parameters. Their values are given in Table I.

One- and two-loop bosonic corrections to the pole masses of gauge bosons
Notations
One-loop Two-loop
Boson Full result Boson Massless Fermion QCD Full result
    X2ZB X2ZF   X2Z
    X2WB X2WF   X2W
Veretin's version of bosonic contribution to pole mass of WW boson
Conference presentation:
Talk given at Third Workshop of the Extended ECFA/DESY Study; Prague, 15th-18th November 2002
Photos I and II from Third Workshop of the Extended ECFA/DESY Study; Prague, 15th-18th November 2002
Talk given at RADCOR 2002, September 8 -13, 2002; Kloster Banz, Germany
Talk given at VIII International Workshop on Advanced Computing and Analysis Techniques in Physics Research, ACAT'2002, June 24-28, 2002, Moscow 2002
Talk given by F.Jegerlehner at High Energy Physics Seminar, New York University; May 14, 2002.
Talk given at First Workshop of the Extended ECFA/DESY Study, Krakow, September 14-18, 2001
Talk given at SUSY'01: 9th International Conference on Supersymmetry and Unification of Fundamental Interactions, Dubna, Russia, June 11-17, 2001

Pole mass of top quark within SM

Here we present all results connected with calculation of the two-loop radiative corrections to the pole mass of top quark, see for details, F.Jegerlehner and M.Yu.Kalmykov, hep-ph/0308216 (Standard Model) and hep-ph/0310361 (gaugeless limit model)

One- and two-loop corrections to the MS mass of t-quark
Notations
One-loop Two-loop
1 EW SM: EW*QCD Gaugeless limit: EW * QCD
Examples: plots
The plot from F.Jegerlehner,M.Yu.Kalmykov,B.A.Kniehl 1212.4319
and dual version: pole mass via running one:

The two-loop EW contribution to running mass of t-quark have been evaluated in accordance with Eq.(17) of 1212.4319 . The uncertainties is order of 1 GeV.

About optimal value for the RG matching scale, see, 1307.4226 .

About theoretical uncertainties in matching conditions,see, 1412.4215 .



About top-quark see also,
Tevatron Electroweak Working Group
Working Group Top, QCD, and Two-Photon Physics
JLC Top Subgroup Home Page
M.Beneke et al,
Schrempp, and Wimmer

Yukawa-top and Higgs boson couplings

See code from Fedor Bezrukov homepage.

RG-functions in SM up to 3-loop:
gauge coupling constants
Yukawa
Higgs
Yukawa-complex
Lambda (by Chetyrkin-Zoller)


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