Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.10644 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917641680060416 |
|---|---|
| author | Bacchio, S. Bečirević, D. Gagliardi, G. Sanfilippo, F. |
| author_facet | Bacchio, S. Bečirević, D. Gagliardi, G. Sanfilippo, F. |
| contents | The normalization of the leading-twist photon distribution amplitude (DA), $f_γ^{\perp}$, is an important ingredient in the study of exclusive processes involving the photon emission by means of QCD sum-rules. In this paper we determine the up- , down- and strange-quark contribution to $f_γ^{\perp}$ by exploiting its relation to the zero-momentum two-point correlation function of the electromagnetic current $J_{\rm em}^μ$ and the electric component of the tensor current $T^{μν}$. To that end we employ the gauge ensembles obtained by using $N_{f}=2+1+1$ Wilson-Clover twisted-mass quark flavors, generated by the Extended Twisted Mass (ETM) Collaboration, and after adding all sources of systematic uncertainties, we obtain a total error of $1.5\%$ and $3.5\%$, respectively, for the light- ($u$ and $d$) and strange-quark contribution to $f_γ^{\perp}(2~{\rm GeV})$ in the $\overline{\mathrm{MS}}$ scheme, thus improving their accuracy by a factor of $2.3$ and $2.8$, respectively. For the strange-quark contribution $f_{γ,s}^{\perp}(2~{\rm GeV})$, we observe a discrepancy with respect to previous lattice calculations. By combining our result with the world average lattice value of the chiral condensate, we obtain for the susceptibility of the quark condensate $χ_d^{\overline{\mathrm{MS}}} (2\, {\rm GeV}) \simeq χ_u^{\overline{\mathrm{MS}}} (2\, {\rm GeV}) =2.17(12)~{\rm GeV^{-2}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10644 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice QCD determination of the normalization of the leading-twist photon distribution amplitude and susceptibility of the quark condensate Bacchio, S. Bečirević, D. Gagliardi, G. Sanfilippo, F. High Energy Physics - Lattice High Energy Physics - Phenomenology The normalization of the leading-twist photon distribution amplitude (DA), $f_γ^{\perp}$, is an important ingredient in the study of exclusive processes involving the photon emission by means of QCD sum-rules. In this paper we determine the up- , down- and strange-quark contribution to $f_γ^{\perp}$ by exploiting its relation to the zero-momentum two-point correlation function of the electromagnetic current $J_{\rm em}^μ$ and the electric component of the tensor current $T^{μν}$. To that end we employ the gauge ensembles obtained by using $N_{f}=2+1+1$ Wilson-Clover twisted-mass quark flavors, generated by the Extended Twisted Mass (ETM) Collaboration, and after adding all sources of systematic uncertainties, we obtain a total error of $1.5\%$ and $3.5\%$, respectively, for the light- ($u$ and $d$) and strange-quark contribution to $f_γ^{\perp}(2~{\rm GeV})$ in the $\overline{\mathrm{MS}}$ scheme, thus improving their accuracy by a factor of $2.3$ and $2.8$, respectively. For the strange-quark contribution $f_{γ,s}^{\perp}(2~{\rm GeV})$, we observe a discrepancy with respect to previous lattice calculations. By combining our result with the world average lattice value of the chiral condensate, we obtain for the susceptibility of the quark condensate $χ_d^{\overline{\mathrm{MS}}} (2\, {\rm GeV}) \simeq χ_u^{\overline{\mathrm{MS}}} (2\, {\rm GeV}) =2.17(12)~{\rm GeV^{-2}}$. |
| title | Lattice QCD determination of the normalization of the leading-twist photon distribution amplitude and susceptibility of the quark condensate |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.10644 |