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  1. Article ; Online: Multiple Series Representations of N-fold Mellin-Barnes Integrals.

    Ananthanarayan, B / Banik, Sumit / Friot, Samuel / Ghosh, Shayan

    Physical review letters

    2021  Volume 127, Issue 15, Page(s) 151601

    Abstract: 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 integrals have been ... ...

    Abstract 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 integrals have been studied for more than one century, until now there has been no systematic computational technique of the multiple series representations of N-fold MB integrals for N>2. Relying on a simple geometrical analysis based on conic hulls, we show here a solution to this important problem. Our method can be applied to resonant (i.e., logarithmic) and nonresonant cases and, depending on the form of the MB integrand, it gives rise to convergent series representations or diverging asymptotic ones. When convergent series are obtained, the method also allows, in general, the determination of a single "master series" for each series representation, which considerably simplifies convergence studies and/or numerical checks. We provide, along with this Letter, a Mathematica implementation of our technique with examples of applications. Among them, we present the first evaluation of the hexagon and double box conformal Feynman integrals with unit propagator powers.
    Language English
    Publishing date 2021-10-22
    Publishing country United States
    Document type Journal Article
    ZDB-ID 208853-8
    ISSN 1079-7114 ; 0031-9007
    ISSN (online) 1079-7114
    ISSN 0031-9007
    DOI 10.1103/PhysRevLett.127.151601
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  2. Article: Investigation of biogenic amines content in fermented

    Regubalan, Baburaj / Ananthanarayan, Laxmi

    Journal of food science and technology

    2019  Volume 56, Issue 4, Page(s) 1775–1784

    Abstract: ... ...

    Abstract Idli
    Language English
    Publishing date 2019-02-23
    Publishing country India
    Document type Journal Article
    ZDB-ID 242498-8
    ISSN 0975-8402 ; 0022-1155
    ISSN (online) 0975-8402
    ISSN 0022-1155
    DOI 10.1007/s13197-019-03609-9
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  3. Article: Changes in ACE inhibitory and antioxidant activities in alcalase treated

    Bhaskar, Bincy / Ananthanarayan, Laxmi

    Journal of food science and technology

    2019  Volume 56, Issue 9, Page(s) 4025–4035

    Abstract: ... ...

    Abstract Idli
    Language English
    Publishing date 2019-06-19
    Publishing country India
    Document type Journal Article
    ZDB-ID 242498-8
    ISSN 0975-8402 ; 0022-1155
    ISSN (online) 0975-8402
    ISSN 0022-1155
    DOI 10.1007/s13197-019-03871-x
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  4. Article: Shelf life improvement of

    Regubalan, Baburaj / Ananthanarayan, Laxmi

    Journal of food science and technology

    2018  Volume 55, Issue 9, Page(s) 3417–3426

    Abstract: ... ...

    Abstract Idli
    Language English
    Publishing date 2018-07-26
    Publishing country India
    Document type Journal Article
    ZDB-ID 242498-8
    ISSN 0975-8402 ; 0022-1155
    ISSN (online) 0975-8402
    ISSN 0022-1155
    DOI 10.1007/s13197-018-3247-2
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  5. Book ; Online: The Hopf Algebra Structure of the Two Loop Three Mass Non-Planar Feynman Diagram

    Ananthanarayan, B. / Das, Abhijit B. / Wyler, Daniel

    2021  

    Abstract: 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 the method of cut ...

    Abstract 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 the method of cut Feynman diagrams comprising of the coproduct, the first entry condition and integrability condition that was found to be true for the planar case also holds for the non-planar case; furthermore, the non-planar symbol alphabet is the same as for the planar case. This is one of the main results of this work, and they have been obtained by a systematic analysis of the relevant cuts, using the symbolic manipulation codes HypExp and PolyLogTools. The obtained result for the symbol is cross-checked by an analysis of the known two-loop original Feynman integral result. In addition, we also reconstruct the full result from the symbol. This is the other main result in this paper.

    Comment: 26 pages, 5 main figures, 1 table, 1 footnote; Compared to v1, many improvements in discussion. A new section (sec. 8) has been added which now gives the full result. Discussion and conclusions extended and improved. Abstract and introduction also amended to account for the new calculation. New references added
    Keywords High Energy Physics - Theory ; High Energy Physics - Phenomenology
    Subject code 621
    Publishing date 2021-04-02
    Publishing country us
    Document type Book ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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  6. Book ; Online: Test of analyticity and unitarity for the pion form-factor data around the $\rho$ resonance

    Ananthanarayan, B. / Caprini, Irinel / Das, Diganta

    2020  

    Abstract: High-statistics data on the $e^+e^-\to \pi^+\pi^-$ cross section and the pion vector form factor have been obtained recently by several collaborations. Unfortunately, there are some tensions between different datasets, especially the most precise ones, ... ...

    Abstract High-statistics data on the $e^+e^-\to \pi^+\pi^-$ cross section and the pion vector form factor have been obtained recently by several collaborations. Unfortunately, there are some tensions between different datasets, especially the most precise ones, which have not been resolved so far. Additional independent constraints on the data are therefore of interest. We consider a parametrization-free method of analytic extrapolation proposed recently, which is based on a mixed phase and modulus extremal problem and combines rigorous upper and lower bounds with numerical simulations to account for the statistical distributions of the input and output values. Spacelike data on the form factor and measurements of the modulus in the region $(0.65-0.71)$ GeV are used as input. In previous works, the formalism was applied for extrapolating the form factor to low energies. In the present work, we use it as a stringent and model-independent test of consistency with analyticity and unitarity for the high-statistics data around the $\rho$ resonance. The study reveals some inconsistencies, in particular below the $\rho$ peak the BABAR data are slightly higher than the band of extrapolated values, while above the $\rho$ peak all the data are situated at the lower edge of the band. The implications of the results on the two-pion vacuuum polarization contribution to the anomalous magnetic moment of the muon are briefly discussed.

    Comment: 10 pages, 7 figures
    Keywords High Energy Physics - Phenomenology ; High Energy Physics - Experiment ; High Energy Physics - Lattice
    Subject code 306
    Publishing date 2020-08-03
    Publishing country us
    Document type Book ; Online
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  7. Article: An analytic analysis of the pion decay constant in three-flavoured chiral perturbation theory.

    Ananthanarayan, B / Bijnens, Johan / Ghosh, Shayan

    The European physical journal. C, Particles and fields

    2017  Volume 77, Issue 7, Page(s) 497

    Abstract: A representation of the two-loop contribution to the pion decay constant ... ...

    Abstract A representation of the two-loop contribution to the pion decay constant in
    Language English
    Publishing date 2017-07-26
    Publishing country France
    Document type Journal Article
    ZDB-ID 1459069-4
    ISSN 1434-6052 ; 1434-6044
    ISSN (online) 1434-6052
    ISSN 1434-6044
    DOI 10.1140/epjc/s10052-017-5019-y
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  8. Article ; Online: Electromagnetic Charge Radius of the Pion at High Precision.

    Ananthanarayan, B / Caprini, Irinel / Das, Diganta

    Physical review letters

    2017  Volume 119, Issue 13, Page(s) 132002

    Abstract: 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 the poorly ... ...

    Abstract 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 the poorly known modulus of the form factor, we use its phase, known with high accuracy from Roy equations for ππ elastic scattering via the Fermi-Watson theorem. We use also the values of the modulus at several higher timelike energies, where the data from e^{+}e^{-} annihilation and τ decay are mutually consistent, as well as the most recent measurements at spacelike momenta. The experimental uncertainties are implemented by Monte Carlo simulations. The results, which do not rely on a specific parametrization, are optimal for the given input information and do not depend on the unknown phase of the form factor above the first inelastic threshold. Our prediction for the charge radius of the pion is r_{π}=(0.657±0.003)  fm, which amounts to an increase in precision by a factor of about 2.7 compared to the Particle Data Group average.
    Language English
    Publishing date 2017-09-29
    Publishing country United States
    Document type Journal Article
    ZDB-ID 208853-8
    ISSN 1079-7114 ; 0031-9007
    ISSN (online) 1079-7114
    ISSN 0031-9007
    DOI 10.1103/PhysRevLett.119.132002
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  9. Article ; Online: Effect of enzymatic hydrolysis on the functional, antioxidant, and angiotensin I-converting enzyme (ACE) inhibitory properties of whole horse gram flour.

    Bhaskar, Bincy / Ananthanarayan, Laxmi / Jamdar, Sahayog N

    Food science and biotechnology

    2018  Volume 28, Issue 1, Page(s) 43–52

    Abstract: Horse gram hydrolysate (HGH) with different degree of hydrolysis (DH) (20, 25, 35, 40, and 45%) was prepared from whole horse gram flour using alcalase. The amino acid composition of HGH showed the presence of essential amino acids. The alcalase ... ...

    Abstract Horse gram hydrolysate (HGH) with different degree of hydrolysis (DH) (20, 25, 35, 40, and 45%) was prepared from whole horse gram flour using alcalase. The amino acid composition of HGH showed the presence of essential amino acids. The alcalase hydrolysis (DH ≥ 20%) increased protein solubility with a notable difference in the pH range of 3-5 (
    Language English
    Publishing date 2018-07-23
    Publishing country Korea (South)
    Document type Journal Article
    ZDB-ID 2000008-X
    ISSN 2092-6456 ; 1226-7708
    ISSN (online) 2092-6456
    ISSN 1226-7708
    DOI 10.1007/s10068-018-0440-z
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  10. Article: Purification, identification, and characterization of novel angiotensin I-converting enzyme (ACE) inhibitory peptides from alcalase digested horse gram flour

    Bhaskar, B. / Ananthanarayan, L. / Jamdar, S.

    LWT - food science and technology

    2019  Volume 103, Issue -, Page(s) 155

    Language English
    Document type Article
    ZDB-ID 2169058-3
    ISSN 0023-6438
    Database Current Contents Nutrition, Environment, Agriculture

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