One-loop divergences in anomaly-free non-Abelian axial models

2003 ◽  
Vol 81 (12) ◽  
pp. 1343-1347
Author(s):  
M P Gagné-Portelance ◽  
D.G.C. McKeon
Keyword(s):  
Axial Vector ◽  
Invariant Operator ◽  
Diagonal Element ◽  
Dimensional Model ◽  
Vector Coupling ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Left Handed ◽  
Axial Vector Coupling ◽  
The Matrix

We consider one-loop divergences in a four-dimensional model in which a non-Abelian vector field has an axial vector coupling with a massless left-handed spinor field. This is done by computing the diagonal element of the second Seeley–deWitt coefficient a2(x,x). Even when the coupling is such that the axial anomaly vanishes, divergences arise that are not gauge invariant. Operator regularization is used throughout so as to leave the matrix γ5 unambiguously defined. PACS No.: 11.15.q

On the renormalization of the axial vector coupling constant in β-decay

1960 ◽  
Vol 16 (3) ◽  
pp. 560-568 ◽  
Author(s):  
J. Bernstein ◽  
M. Gell-Mann ◽  
L. Michel
Keyword(s):  
Axial Vector ◽  
Coupling Constant ◽  
Β Decay ◽  
Vector Coupling ◽  
Vector Coupling Constant ◽  
Axial Vector Coupling

Measurement of the vector and axial vector coupling constants in Λ

1981 ◽  
Author(s):  
D. A. Jensen ◽  
M. N. Kreisler ◽  
F. Lomanno ◽  
R. Poster ◽  
M. S. Z. Rabin ◽  
...  
Keyword(s):  
Axial Vector ◽  
Coupling Constants ◽  
Vector Coupling ◽  
Axial Vector Coupling

scholarly journals Two neutrino double-beta decay and effective axial-vector coupling constant

2018 ◽  
Vol 194 ◽  
pp. 02002
Author(s):  
Fedor Šimkovic ◽  
Rastislav Dvornický ◽  
Dušan Štefánik
Keyword(s):  
Beta Decay ◽  
Axial Vector ◽  
Double Beta Decay ◽  
Matrix Elements ◽  
Coupling Constant ◽  
Vector Coupling ◽  
Majorana Particle ◽  
Vector Coupling Constant ◽  
Novel Approach ◽  
Axial Vector Coupling

The theoretical and experimental study of the two-neutrino double-beta decay (2νββ-decay) is of crucial importance for reliable calculation of matrix elements governing the neutrinoless double-beta decay (0νββ-decay). That will allow to determine masses of neutrinos once the 0νββ-decay, which occurs if the neutrino is a massive Majorana particle and the total lepton number is not onserved, will be observed. Experiments studying the 2νββ-decay are currently approaching a qualitatively new level, where high-precision measurements are performed not only for half-lives but for all other observables of the process. In this context an improved formula for the 2νββ-decay is presented. Further, a novel approach for determining the effective axial-vector coupling constant is proposed.

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