Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD

Alexandrou, Constantia; Bacchio, Simone; Bergner, Georg; Finkenrath, Jacob; Gasbarro, Andrew; Hadjiyiannakou, Kyriakos; Jansen, Karl; Kostrzewa, Bartosz; Ottnad, Konstantin; Petschlies, Marcus; Pittler, Ferenc; Steffens, Fernanda; Urbach, Carsten; Wenger, Urs

doi:10.48550/arxiv.2109.10692

Cited by 1 publication

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References 52 publications

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“…[103]) , (5.12) where the last analysis of [103] takes into account also the next-to-leading logarithmic threshold resummation on the relevant Drell-Yan cross sections, which tends to make the valence distribution considerably softer at high momentum fractions x [104]. See also [105][106][107][108] for earlier works of the NLO QCD analysis and [109] for a recent lattice result. First of all, we plot the above result of Cπ q (µ)…”

Section: Jhep03(2023)013mentioning

confidence: 99%

Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints

Tanaka

2023

J. High Energ. Phys.

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It is known that the trace anomaly in the QCD energy-momentum tensor Tμν can be attributed to the anomalies for each of the gauge-invariant quark part and gluon part of Tμν, and their explicit three-loop formulas have been derived in the $$ \overline{\textrm{MS}} $$ MS ¯ scheme in the dimensional regularization. The matrix elements of this quark/gluon decomposition of the QCD trace anomaly allow us to derive the QCD constraints on the hadron’s gravitational form factors, in particular, on the twist-four gravitational form factor, $$ {\overline{C}}_{q,g} $$ C ¯ q , g . Using the three-loop quark/gluon trace anomaly formulas, we calculate the forward (zero momentum transfer) value of the twist-four gravitational form factor $$ {\overline{C}}_{q,g} $$ C ¯ q , g at the next-to-next-to-leading-order (NNLO) accuracy. We present quantitative results for nucleon as well as for pion, leading to a model-independent determination of the forward value of $$ {\overline{C}}_{q,g} $$ C ¯ q , g . We find quite different pattern in the obtained results between the nucleon and the pion. In particular, for the nucleon, the present information from experiment and lattice QCD on the nonperturbative matrix elements arising in our NNLO formula allows us to obtain a prediction of the forward value of $$ {\overline{C}}_{q,g} $$ C ¯ q , g at the accuracy of a few percent level.

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Section: Jhep03(2023)013mentioning

confidence: 99%

Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints

Tanaka

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD

Cited by 1 publication

References 52 publications

Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints

Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints

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