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Why $$\alpha _s$$ cannot be determined from hadronic processes without simultaneously determining the parton distributions

Published version
Peer-reviewed

Change log

Authors

Kassabov, Zahari 

Abstract

jats:titleAbstract</jats:title>jats:pWe show that any determination of the strong coupling jats:inline-formulajats:alternativesjats:tex-math$$\alpha _s$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:msubmml:miα</mml:mi>mml:mis</mml:mi></mml:msub></mml:math></jats:alternatives></jats:inline-formula> from a process which depends on parton distributions, such as hadronic processes or deep-inelastic scattering, generally does not lead to a correct result unless the parton distributions (PDFs) are determined simultaneously along with jats:inline-formulajats:alternativesjats:tex-math$$\alpha _s$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:msubmml:miα</mml:mi>mml:mis</mml:mi></mml:msub></mml:math></jats:alternatives></jats:inline-formula>. We establish the result by first showing an explicit example, and then arguing that the example is representative of a generic situation which we explain using models for the shape of equal jats:inline-formulajats:alternativesjats:tex-math$$\chi ^2$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:msupmml:miχ</mml:mi>mml:mn2</mml:mn></mml:msup></mml:math></jats:alternatives></jats:inline-formula> contours in the joint space of jats:inline-formulajats:alternativesjats:tex-math$$\alpha _s$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">mml:msubmml:miα</mml:mi>mml:mis</mml:mi></mml:msub></mml:math></jats:alternatives></jats:inline-formula> and the PDF parameters.</jats:p>

Description

Keywords

5107 Particle and High Energy Physics, 51 Physical Sciences

Journal Title

The European Physical Journal C

Conference Name

Journal ISSN

1434-6044
1434-6052

Volume Title

80

Publisher

Springer Science and Business Media LLC
Sponsorship
H2020 European Research Council (740006)