Cargando…
Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses
We report the first calculation using physical light-quark masses of the electromagnetic form factor <math display="inline"><mi>V</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></math> desc...
| Autores principales: | , , , , , , , , , |
|---|---|
| Lenguaje: | eng |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.107.L011503 http://cds.cern.ch/record/2801828 |
| _version_ | 1780972723089965056 |
|---|---|
| author | Boyle, P.A. Erben, F. Flynn, J.M. Gülpers, V. Hill, R.C. Hodgson, R. Jüttner, A. hÓgáin, F.Ó. Portelli, A. Sachrajda, C.T. |
| author_facet | Boyle, P.A. Erben, F. Flynn, J.M. Gülpers, V. Hill, R.C. Hodgson, R. Jüttner, A. hÓgáin, F.Ó. Portelli, A. Sachrajda, C.T. |
| author_sort | Boyle, P.A. |
| collection | CERN |
| description | We report the first calculation using physical light-quark masses of the electromagnetic form factor <math display="inline"><mi>V</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></math> describing the long-distance contributions to the <math display="inline"><msup><mi>K</mi><mo>+</mo></msup><mo stretchy="false">→</mo><msup><mi>π</mi><mo>+</mo></msup><msup><mo>ℓ</mo><mo>+</mo></msup><msup><mo>ℓ</mo><mo>-</mo></msup></math> decay amplitude. The calculation is performed on a <math display="inline"><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math> flavor domain wall fermion ensemble with inverse lattice spacing <math display="inline"><msup><mi>a</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>1.730</mn><mo stretchy="false">(</mo><mn>4</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain <math display="inline"><mi>V</mi><mo stretchy="false">(</mo><mi>z</mi><mo>=</mo><mn>0.013</mn><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo>=</mo><mo>-</mo><mn>0.87</mn><mo stretchy="false">(</mo><mn>4.44</mn><mo stretchy="false">)</mo></math>, achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops. |
| id | cern-2801828 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2022 |
| record_format | invenio |
| spelling | cern-28018282023-03-14T07:58:13Zdoi:10.1103/PhysRevD.107.L011503doi:10.1103/PhysRevD.107.L011503http://cds.cern.ch/record/2801828engBoyle, P.A.Erben, F.Flynn, J.M.Gülpers, V.Hill, R.C.Hodgson, R.Jüttner, A.hÓgáin, F.Ó.Portelli, A.Sachrajda, C.T.Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masseshep-phParticle Physics - Phenomenologyhep-latParticle Physics - LatticeWe report the first calculation using physical light-quark masses of the electromagnetic form factor <math display="inline"><mi>V</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo></math> describing the long-distance contributions to the <math display="inline"><msup><mi>K</mi><mo>+</mo></msup><mo stretchy="false">→</mo><msup><mi>π</mi><mo>+</mo></msup><msup><mo>ℓ</mo><mo>+</mo></msup><msup><mo>ℓ</mo><mo>-</mo></msup></math> decay amplitude. The calculation is performed on a <math display="inline"><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math> flavor domain wall fermion ensemble with inverse lattice spacing <math display="inline"><msup><mi>a</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo>=</mo><mn>1.730</mn><mo stretchy="false">(</mo><mn>4</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>GeV</mi></math>. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain <math display="inline"><mi>V</mi><mo stretchy="false">(</mo><mi>z</mi><mo>=</mo><mn>0.013</mn><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo><mo stretchy="false">)</mo><mo>=</mo><mo>-</mo><mn>0.87</mn><mo stretchy="false">(</mo><mn>4.44</mn><mo stretchy="false">)</mo></math>, achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops.We report the first calculation using physical light-quark masses of the electromagnetic form factor $V(z)$ describing the long-distance contributions to the $K^+\to\pi^+\ell^+\ell^-$ decay amplitude. The calculation is performed on a 2+1 flavor domain wall fermion ensemble with inverse lattice spacing $a^{-1}=1.730(4)$GeV. We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain $V(z=0.013(2))=-0.87(4.44)$, achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops.arXiv:2202.08795CERN-TH-2022-037oai:cds.cern.ch:28018282022-02-17 |
| spellingShingle | hep-ph Particle Physics - Phenomenology hep-lat Particle Physics - Lattice Boyle, P.A. Erben, F. Flynn, J.M. Gülpers, V. Hill, R.C. Hodgson, R. Jüttner, A. hÓgáin, F.Ó. Portelli, A. Sachrajda, C.T. Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses |
| title | Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses |
| title_full | Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses |
| title_fullStr | Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses |
| title_full_unstemmed | Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses |
| title_short | Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses |
| title_sort | simulating rare kaon decays $k^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice qcd with physical light quark masses |
| topic | hep-ph Particle Physics - Phenomenology hep-lat Particle Physics - Lattice |
| url | https://dx.doi.org/10.1103/PhysRevD.107.L011503 https://dx.doi.org/10.1103/PhysRevD.107.L011503 http://cds.cern.ch/record/2801828 |
| work_keys_str_mv | AT boylepa simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT erbenf simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT flynnjm simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT gulpersv simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT hillrc simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT hodgsonr simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT juttnera simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT hogainfo simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT portellia simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses AT sachrajdact simulatingrarekaondecaysktopiellellusingdomainwalllatticeqcdwithphysicallightquarkmasses |