Introduction to effective field theories. 1. Heisenberg-Euler effective theory, decoupling of heavy flavours

This is the first part of lectures about effective field theories. Decoupling of heavy-particle loops is considered (heavy leptons in QED, heavy quarks in QCD).

flavor: heavy: decoupling
heavy quark
effective field theory
lectures
quantum electrodynamics
quantum chromodynamics
heavy lepton
Feynman graph
higher-order
potential: Coulomb

References(24)

Figures(44)

Heisenberg-Euler effective Lagrangians: Basics and extensions

Gerald V. Dunne
(
- Connecticut U.
)

- In *Shifman, M. (ed.) et al.: From fields to strings, vol. 1* 445-522
•
e-Print:
- hep-th/0406216
•
DOI:
- 10.1142/9789812775344_0014

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:
- 10.1016/S0550-3213(97)00649-4

The scattering of light by light in Dirac’s theory

H. Euler
(
- Leipzig U.
)
,
B. Kockel
(
- Leipzig U.
)

- Naturwiss. 23 (1935) 15, 246-247
•
DOI:
- 10.1007/BF01493898

Consequences of Dirac's theory of positrons

W. Heisenberg
(
- Leipzig U.
)
,
H. Euler
(
- Leipzig U.
)

- Z.Phys. 98 (1936) 11-12, 714-732
•
e-Print:
- physics/0605038
•
DOI:
- 10.1007/BF01343663

Quantum corrections to the QED vacuum energy

Xin-wei Kong
(
- Oslo U.
)
,
Finn Ravndal
(
- Oslo U.
)

- Nucl.Phys.B 526 (1998) 1-3, 627-656
•
e-Print:
- hep-ph/9803216
•
DOI:
- 10.1016/S0550-3213(98)00364-2

On the vanishing of evanescent operators

Michael J. Dugan
(
- Harvard U.
)
,
Benjamin Grinstein
(
- Harvard U.
)

- Phys.Lett.B 256 (1991) 239-244
•
DOI:
- 10.1016/0370-2693(91)90680-O

$|\Delta F| = 1$ nonleptonic effective Hamiltonian in a simpler scheme

Konstantin G. Chetyrkin
(
- Karlsruhe U., TTP
)
,
Mikolaj Misiak
(
- Warsaw, CFT
)
,
Manfred Munz
(
- Munich, Tech. U.
)

- Nucl.Phys.B 520 (1998) 279-297
•
e-Print:
- hep-ph/9711280
•
DOI:
- 10.1016/S0550-3213(98)00131-X

Beta functions and anomalous dimensions up to three loops

Konstantin G. Chetyrkin
(
- Karlsruhe U., TTP
)
,
Mikolaj Misiak
(
- Warsaw U.
)
,
Manfred Munz
(
- Munich, Tech. U.
)

- Nucl.Phys.B 518 (1998) 473-494
•
e-Print:
- hep-ph/9711266
•
DOI:
- 10.1016/S0550-3213(98)00122-9

Decoupling of heavy quark loops in light-light and heavy - light quark currents

A.G. Grozin
(
- Karlsruhe U., TTP
)

- Phys.Lett.B 445 (1998) 165-167
•
e-Print:
- hep-ph/9810358
•
DOI:
- 10.1016/S0370-2693(98)01439-7

Decoupling of heavy quarks in HQET

Andrey G. Grozin
(
- Karlsruhe U.
)
,
Alexander V. Smirnov
(
- Moscow State U.
)
,
Vladimir A. Smirnov
(
- SINP, Moscow
)

- JHEP 11 (2006) 022
•
e-Print:
- hep-ph/0609280
•
DOI:
- 10.1088/1126-6708/2006/11/022

Power suppressed heavy quark mass corrections to the tau lepton and Z boson decay rates

K.G. Chetyrkin
(
- Karlsruhe U., TTP
)

- Phys.Lett.B 307 (1993) 169-176
•
DOI:
- 10.1016/0370-2693(93)90207-X

Coefficient Functions of Asymptotic Operator Expansions in Minimal Subtraction Scheme

S.G. Gorishnii
(
- Dubna, JINR
)
,
S.A. Larin
(
- Moscow, INR
)

- Nucl.Phys.B 283 (1987) 452
•
DOI:
- 10.1016/0550-3213(87)90283-5

Higher Dimensional Renormalization Group Invariant Vacuum Condensates in Quantum Chromodynamics

Stephan Narison
(
- CERN
)
,
R. Tarrach
(
- Barcelona U.
)

- Phys.Lett.B 125 (1983) 217-222
•
DOI:
- 10.1016/0370-2693(83)91271-6

MATRIX OF MIXING OF SCALAR AND VECTOR MESONS OF DIMENSION D <= 8 IN QCD. (IN RUSSIAN)

A.Yu. Morozov
(
- Moscow Phys. Eng. Inst.
)

- Sov.J.Nucl.Phys. 40 (1984) 505,
- Yad.Fiz. 40 (1984) 788-800

- Fortsch.Phys. 32 585

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
)

- Nucl.Phys.B 438 (1995) 278-306
•
e-Print:
- hep-ph/9411260
•
DOI:
- 10.1016/0550-3213(94)00574-X

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

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

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

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

Matching QCD and heavy-quark effective theory heavy-light currents at two loops and beyond

David J. Broadhurst
(
- Open U., England
)
,
A.G. Grozin
(
- Open U., England
)

- Phys.Rev.D 52 (1995) 4082-4098
•
e-Print:
- hep-ph/9410240
•
DOI:
- 10.1103/PhysRevD.52.4082

Three loop $\overline{\mathrm{MS}}$ tensor current anomalous dimension in QCD

J.A. Gracey
(
- Liverpool U.
)

- Phys.Lett.B 488 (2000) 175-181
•
e-Print:
- hep-ph/0007171
•
DOI:
- 10.1016/S0370-2693(00)00859-5

The Renormalization of the axial anomaly in dimensional regularization

S.A. Larin
(
- NIKHEF, Amsterdam
)

- Phys.Lett.B 303 (1993) 113-118
•
e-Print:
- hep-ph/9302240
•
DOI:
- 10.1016/0370-2693(93)90053-K

The $\alpha_\mathrm{s}^3$ corrections to the Bjorken sum rule for polarized electroproduction and to the Gross-Llewellyn Smith sum rule

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

- Phys.Lett.B 259 (1991) 345-352
•
DOI:
- 10.1016/0370-2693(91)90839-I