Subham Dutta Chowdhury
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Subham Dutta Chowdhury has a total of 7 co-authors. Here are the top co-authors by number of shared publications:
- Asikur Rahaman
Department of Theoretical Physics Tata Institute of Fundamental Research Homi Bhabha Rd 400005 Mumbai India
2 shared publications - Suman Kundu
Weizmann Institute of Science
2 shared publications - Vipul Kumar
Department of Theoretical Physics Tata Institute of Fundamental Research Homi Bhabha Rd 400005 Mumbai India
2 shared publications - Aninda Sinha
Centre for High Energy Physics Indian Institute of Science C.V. Raman Avenue 560012 Bangalore India
1 shared publication - Kausik Ghosh
Department of Mathematics King's College London Strand WC2R 2LS London United Kingdom
1 shared publication - Parthiv Haldar
Centre for High Energy Physics Indian Institute of Science C.V. Raman Avenue 560012 Bangalore India
1 shared publication
Latest Publications
- Open Access
- 10 May 2024
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2024 (5) , 1-47
Regge constraints on local four-point scattering amplitudes of massive particles with spin
In this work, we classify all the possible local four-point couplings relevant for tree-level flat space 2 → 2 scattering of external massive particles of spin one and spin two which do not grow faster than s 2 at large s and fixed t. This kinematic constraint on local growth of tree-level S-matrices is known as Classical Regge Growth criteria or CRG [1]. We first construct the spin one and spin two tree-level contact S-matrices as modules of polarisation tensors and momenta over the ring of polynomials generated by Mandelstam invariants. We then consider a general scattering process where the external scattering particles are of different masses but of same spin and constrain this space to obtain a finite number of CRG allowed local Lagrangians. Our concrete results are primarily for D ≥ 8 but the process outlined is easily generalised to lower dimensions to include low dimensional parity violating structures. The space of CRG allowed structures reduces when we specialise to identical scattering and restrict to parity even couplings in D = 4. We show that tree-level scattering amplitudes involving exchange diagrams and contact terms in de Rham-Gabadadze-Tolley massive gravity (dRGT) violate CRG unless the parameters of the theory take special values. The CRG allowed S-matrices, in the context of large N conformal field theories (CFTs), can also be interpreted as bulk AdS counterterms consistent with Chaos bound. Our classified structures therefore can be thought of as ambiguities arising in the context of conformal field theory inversion formula for four point functions of unconserved spin one and spin two operators in large N CFTs.
- 10 May 2024
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2024 (5) , 1-47
Open AccessRegge constraints on local four-point scattering amplitudes of massive particles with spin
In this work, we classify all the possible local four-point couplings relevant for tree-level flat space 2 → 2 scattering of external massive particles of spin one and spin two which do not grow faster than s 2 at large s and fixed t. This kinematic constraint on local growth of tree-level S-matrices is known as Classical Regge Growth criteria or CRG [1]. We first construct the spin one and spin two tree-level contact S-matrices as modules of polarisation tensors and momenta over the ring of polynomials generated by Mandelstam invariants. We then consider a general scattering process where the external scattering particles are of different masses but of same spin and constrain this space to obtain a finite number of CRG allowed local Lagrangians. Our concrete results are primarily for D ≥ 8 but the process outlined is easily generalised to lower dimensions to include low dimensional parity violating structures. The space of CRG allowed structures reduces when we specialise to identical scattering and restrict to parity even couplings in D = 4. We show that tree-level scattering amplitudes involving exchange diagrams and contact terms in de Rham-Gabadadze-Tolley massive gravity (dRGT) violate CRG unless the parameters of the theory take special values. The CRG allowed S-matrices, in the context of large N conformal field theories (CFTs), can also be interpreted as bulk AdS counterterms consistent with Chaos bound. Our classified structures therefore can be thought of as ambiguities arising in the context of conformal field theory inversion formula for four point functions of unconserved spin one and spin two operators in large N CFTs.
- Open Access
Regge constraints on local four-point scattering amplitudes of massive particles with spin
In this work, we classify all the possible local four-point couplings relevant for tree-level flat space $2 \rightarrow 2$ scattering of external massive particles of spin one and spin two which do not grow faster than $s^2$ at large $s$ and fixed t. This kinematic constraint on local growth of tree-level S-matrices is known as Classical Regge Growth criteria or CRG. We first construct the spin one and spin two tree-level contact S-matrices as modules of polarisation tensors and momenta over the ring of polynomials generated by Mandelstam invariants. We then consider a general scattering process where the external scattering particles are of different masses but of same spin and constrain this space to obtain a finite number of CRG allowed local Lagrangians. Our concrete results are primarily for $D\geq 8$ but the process outlined is easily generalised to lower dimensions to include low dimensional parity violating structures. The space of CRG allowed structures reduces when we specialise to identical scattering and restrict to parity even couplings in $D=4$. We show that tree-level scattering amplitudes involving exchange diagrams and contact terms in de Rham-Gabadadze-Tolley massive gravity (dRGT) violate CRG unless the parameters of the theory take special values. The CRG allowed S-matrices, in the context of large $N$ conformal field theories (CFTs), can also be interpreted as bulk $AdS$ counterterms consistent with Chaos bound. Our classified structures therefore can be thought of as ambiguities arising in the context of conformal field theory inversion formula for four point functions of unconserved spin one and spin two operators in large $N$ CFTs.Open AccessRegge constraints on local four-point scattering amplitudes of massive particles with spin
In this work, we classify all the possible local four-point couplings relevant for tree-level flat space $2 \rightarrow 2$ scattering of external massive particles of spin one and spin two which do not grow faster than $s^2$ at large $s$ and fixed t. This kinematic constraint on local growth of tree-level S-matrices is known as Classical Regge Growth criteria or CRG. We first construct the spin one and spin two tree-level contact S-matrices as modules of polarisation tensors and momenta over the ring of polynomials generated by Mandelstam invariants. We then consider a general scattering process where the external scattering particles are of different masses but of same spin and constrain this space to obtain a finite number of CRG allowed local Lagrangians. Our concrete results are primarily for $D\geq 8$ but the process outlined is easily generalised to lower dimensions to include low dimensional parity violating structures. The space of CRG allowed structures reduces when we specialise to identical scattering and restrict to parity even couplings in $D=4$. We show that tree-level scattering amplitudes involving exchange diagrams and contact terms in de Rham-Gabadadze-Tolley massive gravity (dRGT) violate CRG unless the parameters of the theory take special values. The CRG allowed S-matrices, in the context of large $N$ conformal field theories (CFTs), can also be interpreted as bulk $AdS$ counterterms consistent with Chaos bound. Our classified structures therefore can be thought of as ambiguities arising in the context of conformal field theory inversion formula for four point functions of unconserved spin one and spin two operators in large $N$ CFTs. - Open Access
- 24 April 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (4) , 1-36
Counting parity-violating local S-matrices
- 24 April 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (4) , 1-36
Open AccessCounting parity-violating local S-matrices
- Open Access
Counting parity-violating local S-matrices
Four point tree-level local S-matrices form a module over ring of polynomials of mandelstam invariants s, t and u. The module of local analytic S-matrices can be encoded in terms of a partition function which is enumerated using plethystic techniques. In this paper, we enumerate the plethystic contribution to local four point photon, graviton and gluon multi-particle partition functions that encode parity violating $2 \rightarrow 2$ scattering. We generalise the counting problem solved in \cite{ Chowdhury:2019kaq, Chowdhury:2020ddc} to project out parity violating sectors, a subtle task in even dimensions \cite{Henning:2017fpj}. We explicitly enumerate the parity odd contributions to the multi-letter partition function for gauge fields, gravitons and gluons and evaluate the resulting parity violating partition functions in $D=4,6$. We also perform a large $D$ analysis to show that parity violating local interactions do not contribute to four particle scattering in higher dimensions ($D\geq 8$). Our computations and observations for photons, gravitons and gluons agree with the transformation properties of these S-matrices previously conjectured in \cite{Chowdhury:2019kaq, Chowdhury:2020ddc}Open AccessCounting parity-violating local S-matrices
Four point tree-level local S-matrices form a module over ring of polynomials of mandelstam invariants s, t and u. The module of local analytic S-matrices can be encoded in terms of a partition function which is enumerated using plethystic techniques. In this paper, we enumerate the plethystic contribution to local four point photon, graviton and gluon multi-particle partition functions that encode parity violating $2 \rightarrow 2$ scattering. We generalise the counting problem solved in \cite{ Chowdhury:2019kaq, Chowdhury:2020ddc} to project out parity violating sectors, a subtle task in even dimensions \cite{Henning:2017fpj}. We explicitly enumerate the parity odd contributions to the multi-letter partition function for gauge fields, gravitons and gluons and evaluate the resulting parity violating partition functions in $D=4,6$. We also perform a large $D$ analysis to show that parity violating local interactions do not contribute to four particle scattering in higher dimensions ($D\geq 8$). Our computations and observations for photons, gravitons and gluons agree with the transformation properties of these S-matrices previously conjectured in \cite{Chowdhury:2019kaq, Chowdhury:2020ddc} - Open Access
Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds
We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy Wilson coefficients. We consider scattering of photons, gravitons in weakly coupled effective field theories. We provide general expressions for the locality/null constraints. Consideration of the positivity of the absorptive part leads to an interesting connection with the recently conjectured weak low spin dominance. We also construct the crossing symmetric amplitudes and locality constraints for the massive neutral Majorana fermions and parity violating photon and graviton theories. The techniques developed in this paper will be useful for considering numerical S-matrix bootstrap in the future.
Open AccessCrossing Symmetric Spinning S-matrix Bootstrap: EFT bounds
We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy Wilson coefficients. We consider scattering of photons, gravitons in weakly coupled effective field theories. We provide general expressions for the locality/null constraints. Consideration of the positivity of the absorptive part leads to an interesting connection with the recently conjectured weak low spin dominance. We also construct the crossing symmetric amplitudes and locality constraints for the massive neutral Majorana fermions and parity violating photon and graviton theories. The techniques developed in this paper will be useful for considering numerical S-matrix bootstrap in the future.