B. Ananthanarayan
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View article: PROFESSIONAL LIABILITY DARI OTORITAS JASA KEUANGAN (OJK) TERHADAP PENGAWASAN PENGGUNAAN PERJANJIAN BAKU OLEH PELAKU USAHA JASA KEUANGAN (PUJK) DALAM PERSPEKTIF PERATURAN PERUNDANG-UNDANGAN
PROFESSIONAL LIABILITY DARI OTORITAS JASA KEUANGAN (OJK) TERHADAP PENGAWASAN PENGGUNAAN PERJANJIAN BAKU OLEH PELAKU USAHA JASA KEUANGAN (PUJK) DALAM PERSPEKTIF PERATURAN PERUNDANG-UNDANGAN Open
Perkembangan sektor jasa keuangan di Indonesia menunjukkan semakin meluasnya penggunaan perjanjian baku oleh pelaku usaha jasa keuangan. Namun, praktik tersebut kerap menimbulkan persoalan karena isi perjanjian baku sering kali tidak sejal…
View article: Bootstrapping quantum field theory: past, present and future
Bootstrapping quantum field theory: past, present and future Open
Quantum field theory was established about a hundred years ago and is the result of combining the principles of quantum mechanics and the special theory of relativity. Historically, some of the founding fathers were at high unease as inter…
View article: On the evaluation of the Appell $F_2$ double hypergeometric function
On the evaluation of the Appell $F_2$ double hypergeometric function Open
The transformation theory of the Appell $F_2(a,b_1,b_2;c_1,c_2;x,y)$ double hypergeometric function is used to obtain a set of series representations of $F_2$ which provide an efficient way to evaluate $F_2$ for real values of its argument…
View article: Hopf algebra structure of the two loop three mass nonplanar Feynman diagram
Hopf algebra structure of the two loop three mass nonplanar Feynman diagram Open
The method of using Hopf algebras for calculating Feynman integrals developed by Abreu et al. is applied to the two-loop non-planar on-shell diagram with massless propagators and three external mass scales. We show that the existence of th…
View article: Massive one-loop conformal Feynman integrals and quadratic transformations of multiple hypergeometric series
Massive one-loop conformal Feynman integrals and quadratic transformations of multiple hypergeometric series Open
The computational technique of $N$-fold Mellin-Barnes (MB) integrals,\npresented in a companion paper by the same authors, is used to derive sets of\nseries representations of the massive one-loop conformal 3-point Feynman\nintegral in var…
View article: Multiple Series Representations of $N$-fold Mellin-Barnes Integrals
Multiple Series Representations of $N$-fold Mellin-Barnes Integrals Open
Mellin-Barnes (MB) integrals are well-known objects appearing in many branches of mathematics and physics, ranging from hypergeometric functions theory to quantum field theory, solid state physics, asymptotic theory, etc. Although MB integ…
View article: Double box and hexagon conformal Feynman integrals
Double box and hexagon conformal Feynman integrals Open
The off-shell massless six-point double box and hexagon conformal Feynman integrals with generic propagator powers are expressed in terms of linear combinations of multiple hypergeometric series of the generalized Horn type. These results …
View article: Test of analyticity and unitarity for the pion form-factor data around the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math> resonance
Test of analyticity and unitarity for the pion form-factor data around the resonance Open
High-statistics data on the e+e-â��Ï�+Ï�- cross section and the pion vector form factor have been obtained recently by several collaborations. Unfortunately, there are some tensions between different data sets, especially the most precise …
View article: QCD static energy using optimal renormalization and asymptotic Padé-approximant methods
QCD static energy using optimal renormalization and asymptotic Padé-approximant methods Open
The perturbative QCD static potential and ultrasoft contributions, which together give the static energy, have been calculated to three- and four-loop order respectively, by several authors. Using the renormalization group, and Padé approx…
View article: Three-loop QED contributions to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math> of charged leptons with two internal fermion loops and a class of Kampé de Fériet series
Three-loop QED contributions to the of charged leptons with two internal fermion loops and a class of Kampé de Fériet series Open
The three-loop QED mass-dependent contributions to the g-2 of each of the charged leptons with two internal closed fermion loops, sometimes called A3(6)(m1m2,m1m3) in the g-2 literature, is revisited using the Mellin-Barnes (MB) representa…
View article: New analytic continuations for the Appell $F_4$ series from quadratic transformations of the Gauss $_{2}F_1$ function
New analytic continuations for the Appell $F_4$ series from quadratic transformations of the Gauss $_{2}F_1$ function Open
We present new analytic continuation formulas for the Appell $F_4(a,b;c,d;x,y)$ double hypergeometric series where $d=a-b+1$, which allows quadratic transformations of the Gauss ${}_2F_1$ hypergeometric function to be used in the intermedi…
View article: Quadratic and quartic integrals using the method of brackets
Quadratic and quartic integrals using the method of brackets Open
We use the method of brackets to evaluate quadratic and quartic type integrals. We recall the operational rules of the method and give examples to illustrate its working. The method is then used to evaluate the quadratic type integrals whi…
View article: Pion form factor and low-energy hadronic contribution to muon $g-2$ by analytic extrapolation: consistency and sensitivity tests
Pion form factor and low-energy hadronic contribution to muon $g-2$ by analytic extrapolation: consistency and sensitivity tests Open
The largest error in the theoretical determination of the muon anomalous magnetic moment is due to the low-energy hadronic vacuum polarization, which cannot be calculated by perturbative QCD and requires nonperturbative techniques. Recentl…
View article: Pion Interactions and the Standard Model at High Precision
Pion Interactions and the Standard Model at High Precision Open
Pions were predicted by H. Yukawa as force carriers of the inter-nucleon forces, and were detected in 1947. Today they are known to be bound states of quarks and anti-quarks of the two lightest flavours. They satisfy Bose statistics, and a…
View article: An analytic representation of $F_K/F_{\pi}$
An analytic representation of $F_K/F_{\pi}$ Open
We present an analytic representation of $F_K/F_\pi$ as calculated in three-flavoured two-loop chiral perturbation theory, and use it to extract values of the low energy constants $L^r_5$, $C^r_{14}+C^r_{15}$ and $C^r_{15}+2C^r_{17}$ by me…
View article: Electromagnetic Charge Radius of the Pion at High Precision
Electromagnetic Charge Radius of the Pion at High Precision Open
We present a determination of the pion charge radius from high precision data on the pion vector form factor from both timelike and spacelike regions, using a novel formalism based on analyticity and unitarity. At low energies, instead of …
View article: An analytic analysis of the pion decay constant in three-flavoured chiral perturbation theory
An analytic analysis of the pion decay constant in three-flavoured chiral perturbation theory Open
A representation of the two-loop contribution to the pion decay constant in SU(3) chiral perturbation theory is presented. The result is analytic up to the contribution of the three (different) mass sunset integrals, for which an expansion…
View article: Optimal renormalization and the extraction of the strange quark mass from moments of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>τ</mml:mi></mml:math>-decay spectral function
Optimal renormalization and the extraction of the strange quark mass from moments of the -decay spectral function Open
We introduce an optimal renormalization group analysis pertinent to the analysis of polarization functions associated with the $s$-quark mass relevant in $\tau$-decay. The technique is based on the renormalization group invariance constrai…
View article: Precise determination of the low-energy hadronic contribution to the muon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math>from analyticity and unitarity: An improved analysis
Precise determination of the low-energy hadronic contribution to the muonfrom analyticity and unitarity: An improved analysis Open
The two-pion low-energy contribution to the anomalous magnetic moment of the\nmuon, $a_\\mu\\equiv(g-2)_\\mu/2$, expres sed as an integral over the modulus\nsquared of the pion electromagnetic form fac tor, brings a relatively large\ncontr…