scholarly journals Λb LIFETIME FROM THE HQET SUM RULE

2002 ◽  
Author(s):  
CHAO-SHANG HUANG ◽  
CHUN LIU ◽  
SHI-LIN ZHU
Keyword(s):  
2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Neelima Agarwal ◽  
Lorenzo Magnea ◽  
Sourav Pal ◽  
Anurag Tripathi

Abstract Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.


2010 ◽  
Vol 470 ◽  
pp. S97-S98 ◽  
Author(s):  
S. Sugai ◽  
Y. Takayanagi ◽  
N. Hayamizu ◽  
T. Muroi ◽  
J. Nohara ◽  
...  
Keyword(s):  

1978 ◽  
Vol 73 (3) ◽  
pp. 503-504 ◽  
Author(s):  
P. Babu Rao ◽  
K.V. Siva Sarma ◽  
K. SreeRamamurty
Keyword(s):  

2013 ◽  
Vol 87 (7) ◽  
Author(s):  
Nathan P. M. Holt ◽  
Paul M. Hohler ◽  
Ralf Rapp

1964 ◽  
Vol 54 (2) ◽  
pp. 267
Author(s):  
B. G. Wybourne
Keyword(s):  

2004 ◽  
Vol 17 (5) ◽  
pp. 551-558 ◽  
Author(s):  
W. A. Little ◽  
M. J. Holcomb
Keyword(s):  

1980 ◽  
Vol 45 (25) ◽  
pp. 1987-1989 ◽  
Author(s):  
T. A. Osborn ◽  
R. G. Froese ◽  
S. F. Howes
Keyword(s):  
Sum Rule ◽  

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