Decoupling in QED and QCD

Decoupling of a heavy flavour in QCD is discussed in a pedagogical way. First we consider a simpler case: decoupling of muons in QED. All calculations are done up to 2 loops.

Note:

Lecture at 5-th Helmholtz international summer school Calculations for modern and future colliders Dubna, July 23 -- August 2, 2012, 21 pages

12.38.Bx
QCD
heavy quarks
decoupling
QED
heavy quark: decoupling
muon: decoupling
quantum electrodynamics
quantum chromodynamics
lectures

References(9)

Figures(32)

[1]

Decoupling of Heavy Quarks in the Minimal Subtraction Scheme

Werner Bernreuther
(
- Heidelberg U.
)
,
Werner Wetzel
(
- Cornell U., LNS
)

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•
DOI:
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[2]

The Large quark mass expansion of Gamma (Z0 ---> hadrons) and Gamma (tau- ---> tau-neutrino + hadrons) in the order alpha-s**3

S.A. Larin
(
- NIKHEF, Amsterdam
)
,
T. van Ritbergen
(
- NIKHEF, Amsterdam
)
,
J.A.M. Vermaseren
(
- NIKHEF, Amsterdam
)

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•
e-Print:
- hep-ph/9411260
•
DOI:
- 10.1016/0550-3213(94)00574-X

[3]

Decoupling relations to O (alpha-s**3) and their connection to low-energy theorems

- Nucl.Phys.B 510 (1998) 61-87
•
e-Print:
- hep-ph/9708255
•
DOI:
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[4]

QCD decoupling at four loops

K.G. Chetyrkin
(
- Karlsruhe U., TTP
)
,
Johann H. Kuhn
(
- Karlsruhe U., TTP
)
,
Christian Sturm
(
- Turin U. and
- INFN, Turin
)

- Nucl.Phys.B 744 (2006) 121-135
•
e-Print:
- hep-ph/0512060
•
DOI:
- 10.1016/j.nuclphysb.2006.03.020

[5]

Four-loop decoupling relations for the strong coupling

Y. Schroder
(
- Bielefeld U.
)
,
M. Steinhauser
(
- Karlsruhe U., TTP
)

- JHEP 01 (2006) 051
•
e-Print:
- hep-ph/0512058
•
DOI:
- 10.1088/1126-6708/2006/01/051

[6]

Strong-coupling constant with flavor thresholds at five loops in the anti-MS scheme

- Phys.Rev.Lett. 97 (2006) 042001
•
e-Print:
- hep-ph/0607202
•
DOI:
- 10.1103/PhysRevLett.97.042001

[7]

Lectures on QED and QCD: Practical calculation and renormalization of one- and multi-loop Feynman diagrams (2007)

A.G. Grozin

[8]

Method for Computing Renormalization Group Functions in Dimensional Renormalization Scheme

A.A. Vladimirov
(
- Dubna, JINR
)

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•
DOI:
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[9]

RunDec: A Mathematica package for running and decoupling of the strong coupling and quark masses

K.G. Chetyrkin
(
- Karlsruhe U., TTP
)
,
Johann H. Kuhn
(
- Karlsruhe U., TTP
)
,
M. Steinhauser
(
- Hamburg U.
)

- Comput.Phys.Commun. 133 (2000) 43-65
•
e-Print:
- hep-ph/0004189
•
DOI:
- 10.1016/S0010-4655(00)00155-7