A simple parametrisation of the pion form factor
We discuss a novel and simple parametrisation of the pion vector form factor that transparently connects spacelike and timelike regions of the momentum transfer q2. Our parametrisation employs the framework of conformal mapping and respects the known analyticity properties of the form factor, accoun...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-02-01
|
| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000267 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823861202243026944 |
|---|---|
| author | Matthew Kirk Bastian Kubis Méril Reboud Danny van Dyk |
| author_facet | Matthew Kirk Bastian Kubis Méril Reboud Danny van Dyk |
| author_sort | Matthew Kirk |
| collection | DOAJ |
| description | We discuss a novel and simple parametrisation of the pion vector form factor that transparently connects spacelike and timelike regions of the momentum transfer q2. Our parametrisation employs the framework of conformal mapping and respects the known analyticity properties of the form factor, accounting explicitly for the ρ(770)-meson pole. The parametrisation manifestly fulfils the normalisation condition at q2=0 as well as further restrictions at the pion production threshold and in the limit |q2|→∞. In contrast to the widely used Omnès parametrisation, our approach does not use the pion–pion scattering phase shift as input. We confront the parametrisation with experimental data from πH scattering and τ−→π−π0ν decay. We already find a good description of the data with only five free parameters, which include the pole mass and decay width of the ρ(770). |
| format | Article |
| id | doaj-art-a5c8b6ddd06b4d16afa39b16e93b78f8 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-a5c8b6ddd06b4d16afa39b16e93b78f82025-02-10T04:33:56ZengElsevierPhysics Letters B0370-26932025-02-01861139266A simple parametrisation of the pion form factorMatthew Kirk0Bastian Kubis1Méril Reboud2Danny van Dyk3Institute for Particle Physics Phenomenology and Department of Physics, Durham University, Durham DH1 3LE, UKHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, GermanyUniversité Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, FranceInstitute for Particle Physics Phenomenology and Department of Physics, Durham University, Durham DH1 3LE, UK; Corresponding author.We discuss a novel and simple parametrisation of the pion vector form factor that transparently connects spacelike and timelike regions of the momentum transfer q2. Our parametrisation employs the framework of conformal mapping and respects the known analyticity properties of the form factor, accounting explicitly for the ρ(770)-meson pole. The parametrisation manifestly fulfils the normalisation condition at q2=0 as well as further restrictions at the pion production threshold and in the limit |q2|→∞. In contrast to the widely used Omnès parametrisation, our approach does not use the pion–pion scattering phase shift as input. We confront the parametrisation with experimental data from πH scattering and τ−→π−π0ν decay. We already find a good description of the data with only five free parameters, which include the pole mass and decay width of the ρ(770).http://www.sciencedirect.com/science/article/pii/S0370269325000267 |
| spellingShingle | Matthew Kirk Bastian Kubis Méril Reboud Danny van Dyk A simple parametrisation of the pion form factor Physics Letters B |
| title | A simple parametrisation of the pion form factor |
| title_full | A simple parametrisation of the pion form factor |
| title_fullStr | A simple parametrisation of the pion form factor |
| title_full_unstemmed | A simple parametrisation of the pion form factor |
| title_short | A simple parametrisation of the pion form factor |
| title_sort | simple parametrisation of the pion form factor |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000267 |
| work_keys_str_mv | AT matthewkirk asimpleparametrisationofthepionformfactor AT bastiankubis asimpleparametrisationofthepionformfactor AT merilreboud asimpleparametrisationofthepionformfactor AT dannyvandyk asimpleparametrisationofthepionformfactor AT matthewkirk simpleparametrisationofthepionformfactor AT bastiankubis simpleparametrisationofthepionformfactor AT merilreboud simpleparametrisationofthepionformfactor AT dannyvandyk simpleparametrisationofthepionformfactor |