Relativistic configuration-interaction density functional theory: Nonaxial effects on nuclear $ββ$ decay [PDF]
The relativistic configuration-interaction density functional theory is developed for even-even and odd-odd nuclei and is used to predict the nuclear matrix element of the neutrinoless $\beta\beta$ ($0\nu\beta\beta$) decay in nucleus $^{76}$Ge, amongst the most promising $\beta\beta$-decay candidates.
arxiv +1 more source
Nielsen's beta function and some infinitely divisible distributions [PDF]
We show that a large collection of special functions, in particular Nielsen's beta function, are generalized Stieltjes functions of order 2, and therefore logarithmically completely monotonic.
C. Berg+2 more
semanticscholar +1 more source
The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge [PDF]
We focus on a non-abelian gauge field coupled to a single (but general) representation of a family of Nf fermions. By using the same machinery that had allowed us to evaluate the sub-leading large-Nf term of the five-loop Beta function earlier, we here ...
T. Luthe+3 more
semanticscholar +1 more source
On generalized $\mathtt{k}$-fractional derivative operator
The principal aim of this paper is to introduce $\mathtt{k}$-fractional derivative operator by using the definition of $\mathtt{k}$-beta function. This paper establishes some results related to the newly defined fractional operator such as the Mellin ...
Gauhar Rahman+2 more
doaj +1 more source
Fate of a recent conformal fixed point and $\beta$-function in the SU(3) BSM gauge theory with ten massless flavors [PDF]
SU(3) gauge theory with $N_f$ fermions in the fundamental representation serves as a theoretical testing ground for possible infrared conformal behavior, which could play a role in BSM composite Higgs models.
Z. Fodor+4 more
semanticscholar +1 more source
The Numerical Evaluation Methods for Beta Function
In this study, the beta function that is encountered in computational mathematics and physics is analyzed. The correct evaluation of this function also affects the accuracy of other mathematical functions in quantum mechanical calculations. Especially in
Sılay Aytaç Yükçü
doaj +1 more source
Certain integral representations involving hypergeometric functions in two variables [PDF]
Various integral representations of hypergeometric functions have been introduced and investigated due to their important applications in divers fields.
Younis Jihad+3 more
doaj +1 more source
Gauge contribution to the 1/NF expansion of the Yukawa coupling beta function [PDF]
We provide a closed analytical form for the gauge contribution to the beta function of a generic Yukawa coupling in the limit of large NF , where NF is the number of heavy vector-like fermions charged under an abelian or non-abelian gauge group.
K. Kowalska, E. M. Sessolo
semanticscholar +1 more source
Infinite Series Concerning Tails of Riemann Zeta Values
Infinite series involving Riemann’s zeta and Dirichlet’s lambda tails, and weighted by three harmonic-like elementary symmetric functions are examined.
Chunli Li, Wenchang Chu
doaj +1 more source
The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties ...
Umar Muhammad Abubakar
doaj +1 more source