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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
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  2. 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
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  3. Article ; Online: Conventional PCR usage for the detection of Mycobacterium Tuberculosis complex in Cerebrospinal Fluid by MPB64-Target PCR

    Sharma Narotam / Sharma Veena / Nautiyal Satish Chandra / Singh Prem Raj / Rajeev S Kushwaha / Sailwal Shivani / Ghosh Shayan / Naushad Ahmer / Singh R.K

    International Journal of Drug Development & Research, Vol 4, Iss 4, Pp 206-

    2011  Volume 210

    Abstract: Tuberculous meningitis is a severe and potentially fatal form of Tuberculosis. Diagnosis of Tuberculous meningitis (TBM) is challenging. Thus rapid, accurate and confirmatory diagnosis is necessary to initiate required therapy. The diagnostic workup ... ...

    Abstract Tuberculous meningitis is a severe and potentially fatal form of Tuberculosis. Diagnosis of Tuberculous meningitis (TBM) is challenging. Thus rapid, accurate and confirmatory diagnosis is necessary to initiate required therapy. The diagnostic workup involves detection of acidfast bacilli (AFB) in the cerebrospinal fluid (CSF) by microscopy or culture, however, the difficulty in detecting the organism poses a challenge to diagnosis. The use of the polymerase chain reaction (PCR) in the diagnostic approach to Mycobacterium tuberculosis (MTB) meningitis has been reported as a fast and accurate method using in- house protocols and several commercial kits available. We analysed the performance of PCR for the diagnosis of MTB meningitis in 64 consecutive patients, using MTB culture as gold standard.We used PCR as a tool for detecting mycobacterial mpb64 gene in CSF samples from suspected TB patient. 64 clinical specimens were taken from the patients attending SMI Hospital, Dehradun. 45 were PCR positive, 32 were culture positive and 2 were Zn smear positive.The sensitivity of PCR, culture and microscopy for CSF samples was, thus, 70%, 50% and 3% respectively. Therefore, compared to the conventional culture assay, the PCR can be considered a more useful and advanced technique for the rapid and accurate diagnosis of TBM. Thus PCR is better tool for the diagnosis of Tuberculous meningitis combined with the other concerned tests.
    Keywords Tuberculous meningitis; polymerase chain reaction; Central Nervous System. ; Pharmacy and materia medica ; RS1-441 ; Medicine ; R
    Subject code 610
    Language English
    Publishing date 2011-12-01T00:00:00Z
    Publisher Chauhan Publishers
    Document type Article ; Online
    Database BASE - Bielefeld Academic Search Engine (life sciences selection)

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