It is shown that the recently introduced radiative corrections DELTA-r and DELTA-r(w) automatically incorporate the leading higher-order contributions arising from resummation of one-loop fermionic contributions. With slight modifications, they can be made to include all such contributions (not just the leading ones). Simple relations between DELTA-r, DELTA-r(w), DELTA-r, sin2-theta-w and sin2-theta-w(m(z)) are derived. These expressions bridge the MSBAR and on-shell renormalization schemes and are very useful to compute DELTA-r and sin2-theta-w in the case of large m(t). The m(w)-m(z) interdependence is expressed in two equivalent ways: in terms of DELTA-r and in terms of the parameter p = m(w)2/m(z)2cos2-theta-w(m(z)). Applications of the expressions derived in the paper are illustrated numerically.

Degrassi, G., Fanchiotti, S., Sirlin, A. (1991). RELATIONS BETWEEN THE ON-SHELL AND MS FRAMEWORKS AND THE MW-MZ INTERDEPENDENCE. NUCLEAR PHYSICS. B, 351(1-2), 49-69 [10.1016/0550-3213(91)90081-8].

RELATIONS BETWEEN THE ON-SHELL AND MS FRAMEWORKS AND THE MW-MZ INTERDEPENDENCE

DEGRASSI, GIUSEPPE;
1991-01-01

Abstract

It is shown that the recently introduced radiative corrections DELTA-r and DELTA-r(w) automatically incorporate the leading higher-order contributions arising from resummation of one-loop fermionic contributions. With slight modifications, they can be made to include all such contributions (not just the leading ones). Simple relations between DELTA-r, DELTA-r(w), DELTA-r, sin2-theta-w and sin2-theta-w(m(z)) are derived. These expressions bridge the MSBAR and on-shell renormalization schemes and are very useful to compute DELTA-r and sin2-theta-w in the case of large m(t). The m(w)-m(z) interdependence is expressed in two equivalent ways: in terms of DELTA-r and in terms of the parameter p = m(w)2/m(z)2cos2-theta-w(m(z)). Applications of the expressions derived in the paper are illustrated numerically.
1991
Degrassi, G., Fanchiotti, S., Sirlin, A. (1991). RELATIONS BETWEEN THE ON-SHELL AND MS FRAMEWORKS AND THE MW-MZ INTERDEPENDENCE. NUCLEAR PHYSICS. B, 351(1-2), 49-69 [10.1016/0550-3213(91)90081-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/117030
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