QCD Nonleading Corrections to Weak Decays as an Application of Regularization by Dimensional Reduction

Altarelli, Guido; Curci, G.; Martinelli, G.; Petrarca, S.

doi:10.1016/0550-3213(81)90473-9

QCD Nonleading Corrections to Weak Decays as an Application of Regularization by Dimensional Reduction

Guido Altarelli
(
- Rome U. and
- INFN, Rome
)
,
G. Curci
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
G. Martinelli
(
- CERN
)
,
S. Petrarca
(
- Rome U. and
- INFN, Rome
)

Dec, 1980

53 pages

Published in:

Nucl.Phys.B 187 (1981) 461-513

Published: 1981

DOI:

10.1016/0550-3213(81)90473-9

Report number:

CERN-TH-3003

View in:

pdf

reference search364 citations

Citations per year

Abstract: (Elsevier)

We compute in QCD with massless quarks the two-loop anomalous dimensions of the four-fermion operators relevant to weak non-leptonic amplitudes and discuss the physical implications for strange and charm particle decays. Our main goal was to derive the complete order α corrections to the inclusive decay width of a charm (or heavier) quark. We find that the correction terms in the effective hamiltonian show the same enhancement-suppression pattern as the leading terms. Also, for a free c quark, the non-leptonic decay width is further increased (and the semileptonic branching ratio further depleted) with respect to the leading approximation. Implications for D (especially D + ) decays are discussed. The calculation was completely done by a recently proposed variant of dimensional regularization called dimensional reduction. Much of this paper is devoted to exposing and resolving (within two loops) the field theoretic subtleties associated with this method which was particularly suited to this computation.

STRANGE PARTICLE: NONLEPTONIC DECAY
NONLEPTONIC DECAY: STRANGE PARTICLE
CHARMED PARTICLE: NONLEPTONIC DECAY
NONLEPTONIC DECAY: CHARMED PARTICLE
QUANTUM CHROMODYNAMICS: CORRECTION
COUPLING CONSTANT: STRONG INTERACTION
STRONG INTERACTION: COUPLING CONSTANT
PERTURBATION THEORY: HIGHER-ORDER
QUARK: MASSLESS
MASSLESS: QUARK

References(44)

Figures(0)

Nonlagrangian models of current algebra

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev. 179 (1969) 1499-1512
•
DOI:
- 10.1103/PhysRev.179.1499

$\Delta$ I = 1/2 Rule for Nonleptonic Decays in Asymptotically Free Field Theories

M.K. Gaillard
(
- Fermilab
)
,
Benjamin W. Lee
(
- Fermilab
)

- Phys.Rev.Lett. 33 (1974) 108
•
DOI:
- 10.1103/PhysRevLett.33.108

Octet Enhancement of Nonleptonic Weak Interactions in Asymptotically Free Gauge Theories

Guido Altarelli
(
- Rome U.
)
,
L. Maiani
(
- Rome, ISS
)

- Phys.Lett.B 52 (1974) 351-354
•
DOI:
- 10.1016/0370-2693(74)90060-4

The Structure of Parity Violating Strangeness Conserving Weak Nonleptonic Amplitudes in an Asymptotically Free Theory

Guido Altarelli
(
- Rome U. and
- Ecole Normale Superieure
)
,
R.Keith Ellis
(
- Rome U.
)
,
L. Maiani
(
- Rome, ISS and
- Ecole Normale Superieure
)
,
R. Petronzio
(
- Rome U.
)

- Nucl.Phys.B 88 (1975) 215-236
•
DOI:
- 10.1016/0550-3213(75)90277-1

A New Evaluation of the Parity Violating Pion - Nucleon Coupling

F. Buccella
(
- ROME U. and
- INFN, Rome
)
,
Maurizio Lusignoli
(
- ROME U. and
- INFN, Rome
)
,
L. Maiani
(
- ROME U. and
- INFN, Rome
)
,
A. Pugliese
(
- ROME U. and
- INFN, Rome
)

- Nucl.Phys.B 152 (1979) 461-477
•
DOI:
- 10.1016/0550-3213(79)90092-0

Nonleptonic Hyperon Decay in the Quark Model

Kimio Miura
(
- Tokyo U.
)
,
Toshiyuki Minamikawa
(
- Tokyo U.
)

- Prog.Theor.Phys. 38 (1967) 4, 954-965
•
DOI:
- 10.1143/PTP.38.954

Delta I = 1/2 rule with fermion quarks

Jogesh C. Pati
(
- Maryland U.
)
,
C.H. Woo
(
- Maryland U.
)

- Phys.Rev.D 3 (1971) 2920-2922
•
DOI:
- 10.1103/PhysRevD.3.2920

The Absolute Magnitude of Hyperon Nonleptonic Decays

Christoph Schmid
(
- Zurich, ETH
)

- Phys.Lett.B 66 (1977) 353-357
•
DOI:
- 10.1016/0370-2693(77)90013-2

Octet behaviour of single-particle matrix elements $< B'|H(W)|B >$ and < M'|H(W)|M > using a weak current current quark Hamiltonian

Jurgen G. Korner
(
- Heidelberg U.
)

- Nucl.Phys.B 25 (1971) 282-290
•
DOI:
- 10.1016/0550-3213(71)90538-4

Light Quarks and the Origin of the Delta I = 1/2 Rule in the Nonleptonic Decays of Strange Particles

- Nucl.Phys.B 120 (1977) 316-324
•
DOI:
- 10.1016/0550-3213(77)90046-3

Effective Hamiltonian for Delta s = 1 Weak Nonleptonic Decays in the Six Quark Model

Frederick J. Gilman
(
- SLAC
)
,
Mark B. Wise
(
- SLAC
)

- Phys.Rev.D 20 (1979) 2392
•
DOI:
- 10.1103/PhysRevD.20.2392

Quantum Chromodynamic Effects and CP Violation in the Kobayashi-Maskawa Model

- Nucl.Phys.B 163 (1980) 289-311
•
DOI:
- 10.1016/0550-3213(80)90404-6

- Rev.Mod.Phys. 47 227

Enhancement of Nonleptonic Decays of Charmed Particles

Guido Altarelli
(
- Ecole Normale Superieure and
- Rome U.
)
,
N. Cabibbo
(
- Rome U. and
- CERN
)
,
L. Maiani
(
- Ecole Normale Superieure and
- Rome, ISS
)

- Nucl.Phys.B 88 (1975) 285-288
•
DOI:
- 10.1016/0550-3213(75)90281-3

Weak Nonleptonic Decays of Charmed Hadrons

Guido Altarelli
(
- Rome U. and
- INFN, Rome
)
,
N. Cabibbo
(
- Rome U. and
- INFN, Rome
)
,
L. Maiani
(
- Rome, ISS
)

- Phys.Lett.B 57 (1975) 277-280
•
DOI:
- 10.1016/0370-2693(75)90075-1

- Phys.Rev.D 11 1914

On the Weak Decays of High Mass Hadrons

John R. Ellis
(
- CERN
)
,
M.K. Gaillard
(
- CERN and
- Orsay, LPT
)
,
Dimitri V. Nanopoulos
(
- CERN
)

- Nucl.Phys.B 100 (1975) 313,
- Nucl.Phys.B 104 (1976) 547 (erratum),
- Nucl.Phys.B104 (1976) 547.(Nucl.Phys.B100 (1975) 313-328)
•
DOI:
- 10.1016/0550-3213(76)90118-8