The QCD Trace Anomaly in Pion Gravitational Form Factors with Sudakov Resummation
Abstract
We discuss the pion gravitational form factors at intermediate and large spacelike momentum transfer in a perturbative-QCD factorization framework. The short-distance kernel is supplemented by the one-loop non-Abelian TJJ correlator, where the energy--momentum tensor couples to two off-shell gluons. Its trace sector contains the QCD conformal anomaly and admits a scalar, dilaton-like pole interpretation. A transverse-momentum-dependent pion wave function, combined with Sudakov resummation and a Gaussian intrinsic-transverse-momentum profile, suppresses endpoints and large transverse separations. The projection on the pion form factors exhibits a characteristic hierarchy: the isolated anomaly cancels in the momentum form factor 4A_π$, remains important in the mechanical form factor Dπ, and dominates the TJJ correction to the trace form factor. The result identifies a beta-function-controlled short-distance contribution to pion mechanical structure and clarifies the relation between the perturbative anomaly pole and a correlated scalar partonic channel.
Related
- Trace anomaly, effective approach, and gravitational potential
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BibTeX
@misc{coriano2026trace,
title = {{The QCD Trace Anomaly in Pion Gravitational Form Factors with Sudakov Resummation}},
author = {Claudio Corianò and Dario Melle and Leonardo Torcellini},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.22930},
eprint = {2609.22930},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.22930},
}
RIS
TY - UNPB
TI - The QCD Trace Anomaly in Pion Gravitational Form Factors with Sudakov Resummation
AU - Claudio Corianò
AU - Dario Melle
AU - Leonardo Torcellini
PY - 2026
DA - 2026/09/19
PB - arXiv
DO - 10.48550/arxiv.2609.22930
UR - https://arxiv.org/abs/2609.22930
AB - We discuss the pion gravitational form factors at intermediate and large spacelike momentum transfer in a perturbative-QCD factorization framework. The short-distance kernel is supplemented by the one-loop non-Abelian TJJ correlator, where the energy--momentum tensor couples to two off-shell gluons. Its trace sector contains the QCD conformal anomaly and admits a scalar, dilaton-like pole interpretation. A transverse-momentum-dependent pion wave function, combined with Sudakov resummation and a Gaussian intrinsic-transverse-momentum profile, suppresses endpoints and large transverse separations. The projection on the pion form factors exhibits a characteristic hierarchy: the isolated anomaly cancels in the momentum form factor 4A_π$, remains important in the mechanical form factor D_π, and dominates the TJJ correction to the trace form factor. The result identifies a beta-function-controlled short-distance contribution to pion mechanical structure and clarifies the relation between the perturbative anomaly pole and a correlated scalar partonic channel.
ER -