Veronica Calvo Cortes, Yassine El Maazouz, Subramanya Hegde, Amit Suthar
We present a formulation of the three- and four-point amplitudes on the Coulomb branch of ( mathcal{N} ) = 4 SYM as integrals over the symplectic Grassmannian. We demonstrate that their kinematic spaces are equivalent to symplectic Grassmannians SpGr(n, 2n). For the three-point case, we express the amplitude as an integral over the symplectic Grassmannian in a specific little group frame. In the four-point case, we show that the integral yields the amplitude up to a known kinematic factor. Building on the four-dimensional analysis, we also express the six-dimensional ( mathcal{N} ) = (1, 1) SYM amplitude in terms of four-dimensional variables in a form that makes its symplectic Grassmannian structure manifest.
{"title":"Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes","authors":"Veronica Calvo Cortes, Yassine El Maazouz, Subramanya Hegde, Amit Suthar","doi":"10.1007/JHEP12(2025)073","DOIUrl":"10.1007/JHEP12(2025)073","url":null,"abstract":"<p>We present a formulation of the three- and four-point amplitudes on the Coulomb branch of <span>( mathcal{N} )</span> = 4 SYM as integrals over the symplectic Grassmannian. We demonstrate that their kinematic spaces are equivalent to symplectic Grassmannians SpGr(<i>n</i>, 2<i>n</i>). For the three-point case, we express the amplitude as an integral over the symplectic Grassmannian in a specific little group frame. In the four-point case, we show that the integral yields the amplitude up to a known kinematic factor. Building on the four-dimensional analysis, we also express the six-dimensional <span>( mathcal{N} )</span> = (1, 1) SYM amplitude in terms of four-dimensional variables in a form that makes its symplectic Grassmannian structure manifest.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)073.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We propose SL(2, ℤ) dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of boundary conditions for Abelian (quiver) ADHM theories and circular quiver Chern-Simons matter theories including the ABJM model. For the circular quiver Chern-Simons theories we take boundary conditions breaking a U(1)1 × U(1)−1 gauge group to its diagonal subgroup which is decoupled. This can be generalized to break U(1)k × U(1)−k, leaving a ℤk gauge theory. We find matching of the ’t Hooft anomalies and supersymmetric half-indices for all the proposed dual boundary conditions.
{"title":"SL(2, ℤ) dualities of boundary conditions in Abelian M2-brane SCFTs","authors":"Tadashi Okazaki, Douglas J. Smith","doi":"10.1007/JHEP12(2025)070","DOIUrl":"10.1007/JHEP12(2025)070","url":null,"abstract":"<p>We propose SL(2, ℤ) dualities of supersymmetric boundary conditions in the three-dimensional supersymmetric field theories describing a semi-infinite M2-brane terminating on M5-branes. Specifically, we present dualities of boundary conditions for Abelian (quiver) ADHM theories and circular quiver Chern-Simons matter theories including the ABJM model. For the circular quiver Chern-Simons theories we take boundary conditions breaking a U(1)<sub>1</sub> × U(1)<sub>−1</sub> gauge group to its diagonal subgroup which is decoupled. This can be generalized to break U(1)<sub><i>k</i></sub> × U(1)<sub>−<i>k</i></sub>, leaving a ℤ<sub><i>k</i></sub> gauge theory. We find matching of the ’t Hooft anomalies and supersymmetric half-indices for all the proposed dual boundary conditions.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)070.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
It is long known that A-series minimal models and D-series minimal models are exchanged by gauging the invertible ℤ2 symmetry. More recently, it has been shown that A-series minimal models and E-series minimal models are exchanged by gauging a non-invertible symmetry. We complete the triality picture by showing that D-series minimal models and E-series minimal models are exchanged by gauging another non-invertible symmetry.
{"title":"ADE triality via (non-)invertible symmetry gauging","authors":"Takahilo Tanaka, Yu Nakayama","doi":"10.1007/JHEP12(2025)062","DOIUrl":"10.1007/JHEP12(2025)062","url":null,"abstract":"<p>It is long known that A-series minimal models and D-series minimal models are exchanged by gauging the invertible ℤ<sub>2</sub> symmetry. More recently, it has been shown that A-series minimal models and E-series minimal models are exchanged by gauging a non-invertible symmetry. We complete the triality picture by showing that D-series minimal models and E-series minimal models are exchanged by gauging another non-invertible symmetry.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)062.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate solvable models of heat transport between a pair of quantum mechanical systems initialized at two different temperatures. At time t = 0, a weak interaction is switched on between the systems, and we study the resulting energy transport. Focusing on the heat current as the primary observable, we analyze both the transient dynamics and the long-time behavior of the system. We demonstrate that simple toy models — including Random Matrix Theory like models (RMT models) and Schwarzian like models (conformal models) — can capture many generic features of heat transport, such as transient current peaks and the emergence of non-equilibrium steady state (NESS). For these models, we derive a variety of exact results characterizing the short time transients, long time approach to NESS and thermal conductivity. Finally, we show how these features appear in a more realistic solvable model, the Double-Scaled SYK (DSSYK) model. We demonstrate that the DSSYK model interpolates between the seemingly distinct toy models discussed earlier, with the toy models in turn providing a useful lens through which to understand the rich features of DSSYK.
{"title":"Solvable models of heat transport in quantum mechanics","authors":"R Loganayagam, Prithvi Narayan, T S Swathi","doi":"10.1007/JHEP12(2025)071","DOIUrl":"10.1007/JHEP12(2025)071","url":null,"abstract":"<p>We investigate solvable models of heat transport between a pair of quantum mechanical systems initialized at two different temperatures. At time <i>t</i> = 0, a weak interaction is switched on between the systems, and we study the resulting energy transport. Focusing on the heat current as the primary observable, we analyze both the transient dynamics and the long-time behavior of the system. We demonstrate that simple toy models — including Random Matrix Theory like models (<i>RMT models</i>) and Schwarzian like models (<i>conformal models</i>) — can capture many generic features of heat transport, such as transient current peaks and the emergence of non-equilibrium steady state (NESS). For these models, we derive a variety of exact results characterizing the short time transients, long time approach to NESS and thermal conductivity. Finally, we show how these features appear in a more realistic solvable model, the Double-Scaled SYK (DSSYK) model. We demonstrate that the DSSYK model interpolates between the seemingly distinct toy models discussed earlier, with the toy models in turn providing a useful lens through which to understand the rich features of DSSYK.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)071.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the “complexity equals anything” proposal with codimension-one and codimension-zero gravitational observables for multi-horizon black holes, using the Bardeen-AdS class black hole as an example. In particular, we compare the results with the “complexity equals volume” (CV) proposal and find that the generalized volume complexitiy enables the probing of a more complete black hole interior, that is, all spacetime regions where the blackening factor f (r) < 0. This is the advantage brought by the flexibility of this holographic complexity conjecture. In addition, we compute the codimension-zero gravitational observables derived from various geometric quantities and show that these constructions can effectively differentiate the distinct interior regions of the black hole.
{"title":"Complexity equals anything for multi-horizon black holes","authors":"Hong-Yue Jiang, Yu-Xiao Liu","doi":"10.1007/JHEP12(2025)072","DOIUrl":"10.1007/JHEP12(2025)072","url":null,"abstract":"<p>We investigate the “complexity equals anything” proposal with codimension-one and codimension-zero gravitational observables for multi-horizon black holes, using the Bardeen-AdS class black hole as an example. In particular, we compare the results with the “complexity equals volume” (CV) proposal and find that the generalized volume complexitiy enables the probing of a more complete black hole interior, that is, all spacetime regions where the blackening factor <i>f</i> (<i>r</i>) < 0. This is the advantage brought by the flexibility of this holographic complexity conjecture. In addition, we compute the codimension-zero gravitational observables derived from various geometric quantities and show that these constructions can effectively differentiate the distinct interior regions of the black hole.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)072.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729904","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target, focusing on the production of an unpolarized hadron. The complete differential cross section is expressed in terms of 23 structure functions, which depend on the spin states of the target and the azimuthal modulations of the final-state hadron. Within the transverse momentum dependent (TMD) factorization framework, we derive the hadronic tensor using quark-quark correlators and quark-gluon-quark correlators up to twist-3. At tree-level, 21 nonvanishing structure functions are obtained at the leading and subleading twist, expressed as convolutions of TMD parton distribution functions and TMD fragmentation functions. The measurement of these nonzero structure functions can be utilized to explore the tensor-polarized structure of spin-1 particles, offering insights into their internal dynamics.
{"title":"Semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target","authors":"Jing Zhao, Alessandro Bacchetta, Shunzo Kumano, Tianbo Liu, Ya-jin Zhou","doi":"10.1007/JHEP12(2025)067","DOIUrl":"10.1007/JHEP12(2025)067","url":null,"abstract":"<p>We investigate the semi-inclusive deep inelastic scattering off a tensor-polarized spin-1 target, focusing on the production of an unpolarized hadron. The complete differential cross section is expressed in terms of 23 structure functions, which depend on the spin states of the target and the azimuthal modulations of the final-state hadron. Within the transverse momentum dependent (TMD) factorization framework, we derive the hadronic tensor using quark-quark correlators and quark-gluon-quark correlators up to twist-3. At tree-level, 21 nonvanishing structure functions are obtained at the leading and subleading twist, expressed as convolutions of TMD parton distribution functions and TMD fragmentation functions. The measurement of these nonzero structure functions can be utilized to explore the tensor-polarized structure of spin-1 particles, offering insights into their internal dynamics.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)067.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We develop the holographic framework for the ( Toverline{T} ) deformation of two-dimensional conformal field theories (CFT2) with gravitational anomalies, characterized by unequal left and right central charges and holographically dual to topological massive gravity (TMG). Utilizing the mixed boundary condition prescription, we construct the deformed BTZ black hole geometry and derive the corresponding deformed energy spectrum, confirming that the universal flow equation remains valid despite the presence of gravitational anomalies. From the boundary perspective, we compute leading-order corrections to entanglement entropy and reflected entropy induced by the ( Toverline{T} ) deformation, as well as the balanced partial entanglement entropy non-perturbatively. On the gravity side, these quantities are evaluated using spinning worldlines in the deformed bulk geometry, with results matching their field-theoretic counterparts in the high-temperature limit. We further analyze the reality condition for holographic entanglement entropy, which constrains the deformation parameter and reveals a generalized Hagedorn behavior. This Hagedorn-like transition is also independently reproduced from the asymptotic density of states in the deformed anomalous CFT2, providing additional evidence for its universality.
{"title":"The holographic ( textrm{T}overline{textrm{T}} ) deformation of the CFT2 with gravitational anomalies","authors":"Debarshi Basu, Qiang Wen, Mingshuai Xu","doi":"10.1007/JHEP12(2025)061","DOIUrl":"10.1007/JHEP12(2025)061","url":null,"abstract":"<p>We develop the holographic framework for the <span>( Toverline{T} )</span> deformation of two-dimensional conformal field theories (CFT<sub>2</sub>) with gravitational anomalies, characterized by unequal left and right central charges and holographically dual to topological massive gravity (TMG). Utilizing the mixed boundary condition prescription, we construct the deformed BTZ black hole geometry and derive the corresponding deformed energy spectrum, confirming that the universal flow equation remains valid despite the presence of gravitational anomalies. From the boundary perspective, we compute leading-order corrections to entanglement entropy and reflected entropy induced by the <span>( Toverline{T} )</span> deformation, as well as the balanced partial entanglement entropy non-perturbatively. On the gravity side, these quantities are evaluated using spinning worldlines in the deformed bulk geometry, with results matching their field-theoretic counterparts in the high-temperature limit. We further analyze the reality condition for holographic entanglement entropy, which constrains the deformation parameter and reveals a generalized Hagedorn behavior. This Hagedorn-like transition is also independently reproduced from the asymptotic density of states in the deformed anomalous CFT<sub>2</sub>, providing additional evidence for its universality.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)061.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Few vacua are known for the three tachyon-free non-supersymmetric string theories. We find new classes of AdS backgrounds by focusing on spaces where the equations of motion reduce to purely algebraic conditions. Our first examples involve non-zero three-form fluxes supported either on direct product internal spaces or on Tp,q geometries. For the SO(16) × SO(16) heterotic string, we then develop a method to engineer vacua with the addition of gauge fields. A formal Kaluza-Klein reduction yields complete solutions on a broad class of coset spaces G/H, automatically satisfying the three-form Bianchi identities with H-valued gauge fields.
{"title":"AdS vacua of non-supersymmetric strings","authors":"Salvatore Raucci, Alessandro Tomasiello","doi":"10.1007/JHEP12(2025)057","DOIUrl":"10.1007/JHEP12(2025)057","url":null,"abstract":"<p>Few vacua are known for the three tachyon-free non-supersymmetric string theories. We find new classes of AdS backgrounds by focusing on spaces where the equations of motion reduce to purely algebraic conditions. Our first examples involve non-zero three-form fluxes supported either on direct product internal spaces or on T<sub><i>p,q</i></sub> geometries. For the SO(16) × SO(16) heterotic string, we then develop a method to engineer vacua with the addition of gauge fields. A formal Kaluza-Klein reduction yields complete solutions on a broad class of coset spaces <i>G</i>/<i>H</i>, automatically satisfying the three-form Bianchi identities with <i>H</i>-valued gauge fields.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)057.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We develop a resurgence analysis for large central charge (large C) expansions in two-dimensional CFTs using the Coulomb gas formalism. Through the exact Borel-Laplace representations of the conformal blocks I1(C, z) and I2(C, z) associated with the four-point correlation function (langle {phi }_{2,1}left(0right){phi }_{2,1}left(z, overline{z }right){phi }_{2,1}left(1right){phi }_{2,1}(infty )rangle ), we demonstrate that I1(C, z) participates in the Stokes phenomenon of I2(C, z) (and vice versa), and establish that monodromy in z arises from alien calculus in the Borel plane variable ζ (Borel dual to C). From a given conformal block, resurgence theory thus enables us to discover other internal operators (conformal blocks). This approach establishes a non-perturbative connection between conformal blocks, shedding light on the resurgence phenomena in more general quantum field theories.
{"title":"Resurgence for large C expansion in Coulomb gas formalism","authors":"Yong Li, Hongfei Shu","doi":"10.1007/JHEP12(2025)056","DOIUrl":"10.1007/JHEP12(2025)056","url":null,"abstract":"<p>We develop a resurgence analysis for large central charge (large <i>C</i>) expansions in two-dimensional CFTs using the Coulomb gas formalism. Through the exact Borel-Laplace representations of the conformal blocks <i>I</i><sub>1</sub>(<i>C, z</i>) and <i>I</i><sub>2</sub>(<i>C, z</i>) associated with the four-point correlation function <span>(langle {phi }_{2,1}left(0right){phi }_{2,1}left(z, overline{z }right){phi }_{2,1}left(1right){phi }_{2,1}(infty )rangle )</span>, we demonstrate that <i>I</i><sub>1</sub>(<i>C, z</i>) participates in the Stokes phenomenon of <i>I</i><sub>2</sub>(<i>C, z</i>) (and vice versa), and establish that monodromy in <i>z</i> arises from alien calculus in the Borel plane variable <i>ζ</i> (Borel dual to <i>C</i>). From a given conformal block, resurgence theory thus enables us to discover other internal operators (conformal blocks). This approach establishes a non-perturbative connection between conformal blocks, shedding light on the resurgence phenomena in more general quantum field theories.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)056.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Within the soft collinear effective theory (SCET), we derive a factorization theorem which resums Sudakov logarithms (αs ln2( –t))n to all orders in the quark-in-quark generalized parton distribution (GPD) at large momentum transfer t, and perform a consistency check to one-loop. We show that the same Sudakov factor appears in the ‘Feynman’ contribution to the GPDs of the nucleon. Our result enables the resummation of all the large logarithms ln Q2 and ln2t in exclusive processes with two hard scales ( {Lambda}_{textrm{QCD}}^2 ) ≪ |t| ≪ Q2. We also present a SCET power counting analysis of the Feynman contributions to the GPDs and show that the x-dependence of GPDs factorizes at large-t with controlled corrections. This in particular implies that any ratio of GPD moments such as the electromagnetic and gravitational form factors (GFF) is perturbatively calculable in this approximation. Furthermore, we identify a novel order αs power-law t-dependence in the GPD and the D-type GFF that will dominate over the standard order ( left({alpha}_s^2right) ) ‘leading twist’ asymptotic contribution in the phenomenologically relevant region of t.
{"title":"Generalized parton distributions and gravitational form factors at large momentum transfer","authors":"Yoshitaka Hatta, Jakob Schoenleber","doi":"10.1007/JHEP12(2025)058","DOIUrl":"10.1007/JHEP12(2025)058","url":null,"abstract":"<p>Within the soft collinear effective theory (SCET), we derive a factorization theorem which resums Sudakov logarithms (<i>α</i><sub><i>s</i></sub> ln<sup>2</sup>( –<i>t</i>))<sup><i>n</i></sup> to all orders in the quark-in-quark generalized parton distribution (GPD) at large momentum transfer <i>t</i>, and perform a consistency check to one-loop. We show that the same Sudakov factor appears in the ‘Feynman’ contribution to the GPDs of the nucleon. Our result enables the resummation of all the large logarithms ln <i>Q</i><sup>2</sup> and ln<sup>2</sup> <i>t</i> in exclusive processes with two hard scales <span>( {Lambda}_{textrm{QCD}}^2 )</span> ≪ |<i>t</i>| ≪ <i>Q</i><sup>2</sup>. We also present a SCET power counting analysis of the Feynman contributions to the GPDs and show that the <i>x</i>-dependence of GPDs factorizes at large-<i>t</i> with controlled corrections. This in particular implies that any ratio of GPD moments such as the electromagnetic and gravitational form factors (GFF) is perturbatively calculable in this approximation. Furthermore, we identify a novel order <i>α</i><sub><i>s</i></sub> power-law <i>t</i>-dependence in the GPD and the <i>D</i>-type GFF that will dominate over the standard order <span>( left({alpha}_s^2right) )</span> ‘leading twist’ asymptotic contribution in the phenomenologically relevant region of <i>t</i>.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 12","pages":""},"PeriodicalIF":5.5,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP12(2025)058.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145729696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}